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14005350040 = 23511171919803
BaseRepresentation
bin11010000101100100…
…01010111010011000
31100011001112111110011
431002302022322120
5212140332200130
610233423131304
71004031340213
oct150262127230
940131474404
1014005350040
115a37722860
12286a443b34
131422763096
1496c0aa77a
1556e83d52a
hex342c8ae98

14005350040 has 128 divisors (see below), whose sum is σ = 36593233920. Its totient is φ = 4767692800.

The previous prime is 14005350019. The next prime is 14005350143. The reversal of 14005350040 is 4005350041.

It is a super-2 number, since 2×140053500402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14005349993 and 14005350020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1423779 + ... + 1433581.

It is an arithmetic number, because the mean of its divisors is an integer number (285884640).

Almost surely, 214005350040 is an apocalyptic number.

14005350040 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 14005350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296616960).

14005350040 is an abundant number, since it is smaller than the sum of its proper divisors (22587883880).

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

14005350040 is a wasteful number, since it uses less digits than its factorization.

14005350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Subtracting from 14005350040 its reverse (4005350041), we obtain a palindrome (9999999999).

The spelling of 14005350040 in words is "fourteen billion, five million, three hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 191 220 340 374 382 440 680 748 764 935 955 1496 1528 1870 1910 2101 3247 3740 3820 4202 6494 7480 7640 8404 9803 10505 12988 16235 16808 19606 21010 25976 32470 35717 39212 42020 49015 64940 71434 78424 84040 98030 107833 129880 142868 166651 178585 196060 215666 285736 333302 357170 392120 431332 539165 666604 714340 833255 862664 1078330 1333208 1428680 1666510 1833161 1872373 2156660 3333020 3666322 3744746 4313320 6666040 7332644 7489492 9165805 9361865 14665288 14978984 18331610 18723730 20596103 31830341 36663220 37447460 41192206 63660682 73326440 74894920 82384412 102980515 127321364 159151705 164768824 205961030 254642728 318303410 350133751 411922060 636606820 700267502 823844120 1273213640 1400535004 1750668755 2801070008 3501337510 7002675020 14005350040