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143310242031440 = 245111011978184779
BaseRepresentation
bin100000100101011100000100…
…000100011010011101010000
3200210102022210011121221122012
4200211130010010122131100
5122240443333430001230
61224443452154002052
742120552252223511
oct4045340404323520
9623368704557565
10143310242031440
114173259459a010
12140a659a116328
1361c7136c3c023
14275637768ca08
151187c6565a395
hex82570411a750

143310242031440 has 160 divisors (see below), whose sum is σ = 368949191276160. Its totient is φ = 51334927616000.

The previous prime is 143310242031361. The next prime is 143310242031443. The reversal of 143310242031440 is 44130242013341.

It is a super-2 number, since 2×1433102420314402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 143310242031397 and 143310242031406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143310242031443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13416971 + ... + 21601749.

It is an arithmetic number, because the mean of its divisors is an integer number (2305932445476).

Almost surely, 2143310242031440 is an apocalyptic number.

143310242031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143310242031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184474595638080).

143310242031440 is an abundant number, since it is smaller than the sum of its proper divisors (225638949244720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

143310242031440 is a wasteful number, since it uses less digits than its factorization.

143310242031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185101 (or 8185095 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 143310242031440 its reverse (44130242013341), we get a palindrome (187440484044781).

The spelling of 143310242031440 in words is "one hundred forty-three trillion, three hundred ten billion, two hundred forty-two million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 197 202 220 394 404 440 505 788 808 880 985 1010 1111 1576 1616 1970 2020 2167 2222 3152 3940 4040 4334 4444 5555 7880 8080 8668 8888 10835 11110 15760 17336 17776 19897 21670 22220 34672 39794 43340 44440 79588 86680 88880 99485 159176 173360 198970 218867 318352 397940 437734 795880 875468 1094335 1591760 1750936 2188670 3501872 4377340 8184779 8754680 16369558 17509360 32739116 40923895 65478232 81847790 90032569 130956464 163695580 180065138 327391160 360130276 450162845 654782320 720260552 826662679 900325690 1440521104 1612401463 1653325358 1800651380 3224802926 3306650716 3601302760 4133313395 6449605852 6613301432 7202605520 8062007315 8266626790 9093289469 12899211704 13226602864 16124014630 16533253580 17736416093 18186578938 25798423408 32248029260 33066507160 35472832186 36373157876 45466447345 64496058520 66133014320 70945664372 72746315752 88682080465 90932894690 128992117040 141891328744 145492631504 162852547763 177364160930 181865789380 283782657488 325705095526 354728321860 363731578760 651410191052 709456643720 727463157520 814262738815 1302820382104 1418913287440 1628525477630 1791378025393 2605640764208 3257050955260 3582756050786 6514101910520 7165512101572 8956890126965 13028203821040 14331024203144 17913780253930 28662048406288 35827560507860 71655121015720 143310242031440