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40776451137 = 341799832861
BaseRepresentation
bin100101111110011101…
…110100010001000001
310220020210002100020000
4211332131310101001
51132002232414022
630422112510213
72642323054512
oct457635642101
9126223070200
1040776451137
11163252752a4
127a9bb4b369
133acabab8c6
141d8b766a09
1510d9c5b6ac
hex97e774441

40776451137 has 40 divisors (see below), whose sum is σ = 61337010240. Its totient is φ = 26995494240.

The previous prime is 40776451129. The next prime is 40776451211. The reversal of 40776451137 is 73115467704.

40776451137 is a `hidden beast` number, since 4 + 0 + 77 + 64 + 511 + 3 + 7 = 666.

40776451137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40776451137 - 23 = 40776451129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40776451092 and 40776451101.

It is not an unprimeable number, because it can be changed into a prime (40776451127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14251087 + ... + 14253947.

It is an arithmetic number, because the mean of its divisors is an integer number (1533425256).

Almost surely, 240776451137 is an apocalyptic number.

It is an amenable number.

40776451137 is a deficient number, since it is larger than the sum of its proper divisors (20560559103).

40776451137 is a wasteful number, since it uses less digits than its factorization.

40776451137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 40776451137 in words is "forty billion, seven hundred seventy-six million, four hundred fifty-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 81 179 537 983 1611 2861 2949 4833 8583 8847 14499 25749 26541 77247 79623 175957 231741 512119 527871 1536357 1583613 2812363 4609071 4750839 8437089 13827213 14252517 25311267 41481639 75933801 227801403 503412977 1510238931 4530716793 13592150379 40776451137