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40152437316151 = 1792298053121637
BaseRepresentation
bin10010010000100101101111…
…10000110101101000110111
312021011112110101122000101121
421020102313300311220313
520230324142423104101
6221221435225004411
711312626553620666
oct1110226760655067
9167145411560347
1040152437316151
111188060a102996
12460598a023707
131953487a99914
149cb561840ddd
154996cc7940a1
hex2484b7c35a37

40152437316151 has 16 divisors (see below), whose sum is σ = 40558439512800. Its totient is φ = 39748500114048.

The previous prime is 40152437316149. The next prime is 40152437316181. The reversal of 40152437316151 is 15161373425104.

It is a happy number.

40152437316151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40152437316151 - 21 = 40152437316149 is a prime.

It is a super-2 number, since 2×401524373161512 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40152437316098 and 40152437316107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40152437316181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330039705 + ... + 330161341.

It is an arithmetic number, because the mean of its divisors is an integer number (2534902469550).

Almost surely, 240152437316151 is an apocalyptic number.

40152437316151 is a deficient number, since it is larger than the sum of its proper divisors (406002196649).

40152437316151 is a wasteful number, since it uses less digits than its factorization.

40152437316151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130098.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 40152437316151 in words is "forty trillion, one hundred fifty-two billion, four hundred thirty-seven million, three hundred sixteen thousand, one hundred fifty-one".

Divisors: 1 179 229 8053 40991 121637 1441487 1844137 21773023 27854873 330100523 979542761 4986022267 175338154219 224315292269 40152437316151