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40757433475704 = 2331110119937320593
BaseRepresentation
bin10010100010001100101000…
…10110000010001001111000
312100022101001121122021100020
421101012110112002021320
520320232210432210304
6222403412332210440
711404425124256601
oct1121062426021170
9170271047567306
1040757433475704
1111a94148720070
1246a3092009a20
13199854283c94a
14a0c955466da8
154aa2db05a5d9
hex251194582278

40757433475704 has 256 divisors, whose sum is σ = 113129267328000. Its totient is φ = 12133794816000.

The previous prime is 40757433475697. The next prime is 40757433475709.

40757433475704 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×407574334757042 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40757433475709) 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 63 ways as a sum of consecutive naturals, for example, 1979178432 + ... + 1979199024.

It is an arithmetic number, because the mean of its divisors is an integer number (441911200500).

Almost surely, 240757433475704 is an apocalyptic number.

40757433475704 is a gapful number since it is divisible by the number (44) 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 40757433475704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56564633664000).

40757433475704 is an abundant number, since it is smaller than the sum of its proper divisors (72371833852296).

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

40757433475704 is a wasteful number, since it uses less digits than its factorization.

40757433475704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21286 (or 21282 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 60.

The spelling of 40757433475704 in words is "forty trillion, seven hundred fifty-seven billion, four hundred thirty-three million, four hundred seventy-five thousand, seven hundred four".