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40787805744 = 2433772718553
BaseRepresentation
bin100101111111001001…
…001000011000110000
310220021120110012211000
4211333021020120300
51132013134240434
630423200122000
72642521425360
oct457711103060
9126246405730
1040787805744
1116330720174
127aa3906300
133b00355bca
141d8d0809a0
1510dac50b99
hex97f248630

40787805744 has 160 divisors (see below), whose sum is σ = 133992535040. Its totient is φ = 11637001728.

The previous prime is 40787805743. The next prime is 40787805791. The reversal of 40787805744 is 44750878704.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40787805743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189172 + ... + 2207724.

It is an arithmetic number, because the mean of its divisors is an integer number (837453344).

Almost surely, 240787805744 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 40787805744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66996267520).

40787805744 is an abundant number, since it is smaller than the sum of its proper divisors (93204729296).

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

40787805744 is a wasteful number, since it uses less digits than its factorization.

40787805744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19304 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 40787805744 in words is "forty billion, seven hundred eighty-seven million, eight hundred five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 727 756 1008 1454 1512 2181 2908 3024 4362 5089 5816 6543 8724 10178 11632 13086 15267 17448 18553 19629 20356 26172 30534 34896 37106 39258 40712 45801 52344 55659 61068 74212 78516 81424 91602 104688 111318 122136 129871 137403 148424 157032 166977 183204 222636 244272 259742 274806 296848 314064 333954 366408 389613 445272 500931 519484 549612 667908 732816 779226 890544 1001862 1038968 1099224 1168839 1335816 1558452 2003724 2077936 2198448 2337678 2671632 3116904 3506517 4007448 4675356 6233808 7013034 8014896 9350712 13488031 14026068 18701424 26976062 28052136 40464093 53952124 56104272 80928186 94416217 107904248 121392279 161856372 188832434 215808496 242784558 283248651 323712744 364176837 377664868 485569116 566497302 647425488 728353674 755329736 849745953 971138232 1132994604 1456707348 1510659472 1699491906 1942276464 2265989208 2549237859 2913414696 3398983812 4531978416 5098475718 5826829392 6797967624 10196951436 13595935248 20393902872 40787805744