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40165456104 = 23324991117943
BaseRepresentation
bin100101011010000011…
…000011100011101000
310211200012101120121100
4211122003003203220
51124224324043404
630241325041400
72621223513054
oct453203034350
9124605346540
1040165456104
1116041397724
12794b3b6260
133a31433597
141d3055ac64
1510a12bad39
hex95a0c38e8

40165456104 has 48 divisors (see below), whose sum is σ = 108999540000. Its totient is φ = 13361642784.

The previous prime is 40165456103. The next prime is 40165456129.

40165456104 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 545 + 6 + 104 = 666.

40165456104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401654561042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40165456103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523044 + ... + 594899.

It is an arithmetic number, because the mean of its divisors is an integer number (2270823750).

Almost surely, 240165456104 is an apocalyptic number.

It is an amenable number.

40165456104 is an abundant number, since it is smaller than the sum of its proper divisors (68834083896).

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

40165456104 is a wasteful number, since it uses less digits than its factorization.

40165456104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118454 (or 1118447 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40165456104 in words is "forty billion, one hundred sixty-five million, four hundred fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 499 998 1497 1996 2994 3992 4491 5988 8982 11976 17964 35928 1117943 2235886 3353829 4471772 6707658 8943544 10061487 13415316 20122974 26830632 40245948 80491896 557853557 1115707114 1673560671 2231414228 3347121342 4462828456 5020682013 6694242684 10041364026 13388485368 20082728052 40165456104