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40137873104 = 2472931223119
BaseRepresentation
bin100101011000011001…
…110101011011010000
310211121021111012211202
4211120121311123100
51124200243414404
630234501530332
72620440202130
oct453031653320
9124537435752
1040137873104
111602786815a
1279421139a8
133a287c6794
141d2aa1aac0
15109db6d21e
hex9586756d0

40137873104 has 40 divisors (see below), whose sum is σ = 89180125440. Its totient is φ = 17143221888.

The previous prime is 40137873049. The next prime is 40137873107.

40137873104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401378731042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40137873107) 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 7 ways as a sum of consecutive naturals, for example, 578744 + ... + 644375.

It is an arithmetic number, because the mean of its divisors is an integer number (2229503136).

Almost surely, 240137873104 is an apocalyptic number.

It is an amenable number.

40137873104 is an abundant number, since it is smaller than the sum of its proper divisors (49042252336).

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

40137873104 is a wasteful number, since it uses less digits than its factorization.

40137873104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223427 (or 1223421 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 40137873104 in words is "forty billion, one hundred thirty-seven million, eight hundred seventy-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 293 586 1172 2051 2344 4102 4688 8204 16408 32816 1223119 2446238 4892476 8561833 9784952 17123666 19569904 34247332 68494664 136989328 358373867 716747734 1433495468 2508617069 2866990936 5017234138 5733981872 10034468276 20068936552 40137873104