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40776138838913 = 172349712156773
BaseRepresentation
bin10010100010101111011110…
…10001010101001110000001
312100101011100020002011210012
421101113233101111032001
520321034013020321123
6222420144413114305
711405656506241322
oct1121275721251601
9170334306064705
1040776138838913
1111aa1077385325
1246a6832488995
13199a233c397ba
14a0d80b826449
154aaa332e5378
hex2515ef455381

40776138838913 has 24 divisors (see below), whose sum is σ = 43446808788600. Its totient is φ = 38261530275840.

The previous prime is 40776138838907. The next prime is 40776138838973. The reversal of 40776138838913 is 31983883167704.

It can be written as a sum of positive squares in 12 ways, for example, as 6722938536769 + 34053200302144 = 2592863^2 + 5835512^2 .

It is a de Polignac number, because none of the positive numbers 2k-40776138838913 is a prime.

It is a super-2 number, since 2×407761388389132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40776138838973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718202795 + ... + 718259567.

It is an arithmetic number, because the mean of its divisors is an integer number (1810283699525).

Almost surely, 240776138838913 is an apocalyptic number.

It is an amenable number.

40776138838913 is a deficient number, since it is larger than the sum of its proper divisors (2670669949687).

40776138838913 is a wasteful number, since it uses less digits than its factorization.

40776138838913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64277 (or 64260 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 68.

The spelling of 40776138838913 in words is "forty trillion, seven hundred seventy-six billion, one hundred thirty-eight million, eight hundred thirty-eight thousand, nine hundred thirteen".

Divisors: 1 17 289 349 5933 7121 56773 100861 121057 965141 2057969 2485229 16407397 19813777 42248893 336834209 404280533 718231181 5726181553 6872769061 116837074037 141093906017 2398596402289 40776138838913