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40153561136 = 24134726915269
BaseRepresentation
bin100101011001010101…
…101011100000110000
310211122101000020202222
4211121111223200300
51124213302424021
630240222100212
72621020431623
oct453125534060
9124571006688
1040153561136
1116035702877
12794741a668
133a2bb2a340
141d2cb41dba
1510a021b6ab
hex95956b830

40153561136 has 80 divisors (see below), whose sum is σ = 85888252800. Its totient is φ = 18069494784.

The previous prime is 40153561127. The next prime is 40153561139. The reversal of 40153561136 is 63116535104.

It is a super-2 number, since 2×401535611362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40153561096 and 40153561105.

It is not an unprimeable number, because it can be changed into a prime (40153561139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2622110 + ... + 2637378.

It is an arithmetic number, because the mean of its divisors is an integer number (1073603160).

Almost surely, 240153561136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40153561136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42944126400).

40153561136 is an abundant number, since it is smaller than the sum of its proper divisors (45734691664).

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

40153561136 is a wasteful number, since it uses less digits than its factorization.

40153561136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15606 (or 15600 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 40153561136 in words is "forty billion, one hundred fifty-three million, five hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 269 376 538 611 752 1076 1222 2152 2444 3497 4304 4888 6994 9776 12643 13988 15269 25286 27976 30538 50572 55952 61076 101144 122152 164359 198497 202288 244304 328718 396994 657436 717643 793988 1314872 1435286 1587976 2629744 2870572 3175952 4107361 5741144 8214722 9329359 11482288 16429444 18658718 32858888 37317436 53395693 65717776 74634872 106791386 149269744 193045967 213582772 386091934 427165544 772183868 854331088 1544367736 2509597571 3088735472 5019195142 10038390284 20076780568 40153561136