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40157955668 = 22291375694441
BaseRepresentation
bin100101011001100110…
…011100011001010100
310211122200021111221102
4211121212130121110
51124220414040133
630240500205232
72621102663645
oct453146343124
9124580244842
1040157955668
1116038134516
127948999818
133a2ca0865c
141d2d5676cc
1510a07d87e8
hex95999c654

40157955668 has 48 divisors (see below), whose sum is σ = 73375621200. Its totient is φ = 19206942720.

The previous prime is 40157955667. The next prime is 40157955689. The reversal of 40157955668 is 86655975104.

It can be written as a sum of positive squares in 8 ways, for example, as 1359986884 + 38797968784 = 36878^2 + 196972^2 .

It is a super-2 number, since 2×401579556682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157955667) 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 15 ways as a sum of consecutive naturals, for example, 9040328 + ... + 9044768.

It is an arithmetic number, because the mean of its divisors is an integer number (1528658775).

Almost surely, 240157955668 is an apocalyptic number.

It is an amenable number.

40157955668 is a deficient number, since it is larger than the sum of its proper divisors (33217665532).

40157955668 is a wasteful number, since it uses less digits than its factorization.

40157955668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 56.

The spelling of 40157955668 in words is "forty billion, one hundred fifty-seven million, nine hundred fifty-five thousand, six hundred sixty-eight".

Divisors: 1 2 4 29 58 116 137 274 548 569 1138 2276 3973 4441 7946 8882 15892 16501 17764 33002 66004 77953 128789 155906 257578 311812 515156 608417 1216834 2260637 2433668 2526929 4521274 5053858 9042548 10107716 17644093 35288186 70576372 73280941 146561882 293123764 346189273 692378546 1384757092 10039488917 20078977834 40157955668