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141351313440 = 25352312803561
BaseRepresentation
bin1000001110100100110…
…0011110000000100000
3111111212000102201022010
42003221030132000200
54303441414012230
6144534053112520
713132550224431
oct2035114360040
9444760381263
10141351313440
1154a46149a07
122348a328740
131043882514c
146bacca9488
153a2469a9b0
hex20e931e020

141351313440 has 96 divisors (see below), whose sum is σ = 464615657856. Its totient is φ = 36054824960.

The previous prime is 141351313387. The next prime is 141351313457. The reversal of 141351313440 is 44313153141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1413513134402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 141351313398 and 141351313407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6390741 + ... + 6412820.

It is an arithmetic number, because the mean of its divisors is an integer number (4839746436).

Almost surely, 2141351313440 is an apocalyptic number.

141351313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141351313440 is an abundant number, since it is smaller than the sum of its proper divisors (323264344416).

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

141351313440 is a wasteful number, since it uses less digits than its factorization.

141351313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803602 (or 12803594 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 141351313440 its reverse (44313153141), we get a palindrome (185664466581).

The spelling of 141351313440 in words is "one hundred forty-one billion, three hundred fifty-one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 12803561 25607122 38410683 51214244 64017805 76821366 102428488 128035610 153642732 192053415 204856976 256071220 294481903 307285464 384106830 409713952 512142440 588963806 614570928 768213660 883445709 1024284880 1177927612 1229141856 1472409515 1536427320 1766891418 2048569760 2355855224 2944819030 3072854640 3533782836 4417228545 4711710448 5889638060 6145709280 7067565672 8834457090 9423420896 11779276120 14135131344 17668914180 23558552240 28270262688 35337828360 47117104480 70675656720 141351313440