Search a number
-
+
40969916544 = 27347248299
BaseRepresentation
bin100110001001111111…
…110101000010000000
310220202021010101212110
4212021333311002000
51132401244312134
630453223255320
72650162354554
oct461177650200
9126667111773
1040969916544
11164144a4767
127b348aa540
133b2bcb878b
141da9327864
1510ebc247e9
hex989ff5080

40969916544 has 96 divisors (see below), whose sum is σ = 111193362000. Its totient is φ = 13365795328.

The previous prime is 40969916521. The next prime is 40969916557. The reversal of 40969916544 is 44561996904.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824107 + ... + 872405.

Almost surely, 240969916544 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 40969916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55596681000).

40969916544 is an abundant number, since it is smaller than the sum of its proper divisors (70223445456).

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

40969916544 is an equidigital number, since it uses as much as digits as its factorization.

40969916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48410 (or 48351 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 40969916544 in words is "forty billion, nine hundred sixty-nine million, nine hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2209 2256 3008 4418 4512 6016 6627 8836 9024 13254 17672 18048 26508 35344 48299 53016 70688 96598 106032 141376 144897 193196 212064 282752 289794 386392 424128 579588 772784 848256 1159176 1545568 2270053 2318352 3091136 4540106 4636704 6182272 6810159 9080212 9273408 13620318 18160424 18546816 27240636 36320848 54481272 72641696 106692491 108962544 145283392 213384982 217925088 290566784 320077473 426769964 435850176 640154946 853539928 871700352 1280309892 1707079856 2560619784 3414159712 5121239568 6828319424 10242479136 13656638848 20484958272 40969916544