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40877733248 = 2711171978669
BaseRepresentation
bin100110000100100000…
…001011010110000000
310220111211200000011022
4212010200023112000
51132204144430443
630440131405012
72644662666602
oct460440132600
9126454600138
1040877733248
1116377462020
127b09a53768
133b15b80b51
141d9adad172
1510e3ab5e68
hex98480b580

40877733248 has 128 divisors (see below), whose sum is σ = 94553632800. Its totient is φ = 17397022720.

The previous prime is 40877733233. The next prime is 40877733251. The reversal of 40877733248 is 84233777804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 40877733248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4711058 + ... + 4719726.

Almost surely, 240877733248 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 40877733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47276816400).

40877733248 is an abundant number, since it is smaller than the sum of its proper divisors (53675899552).

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

40877733248 is a wasteful number, since it uses less digits than its factorization.

40877733248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 53.

The spelling of 40877733248 in words is "forty billion, eight hundred seventy-seven million, seven hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 197 272 352 374 394 544 704 748 788 1088 1408 1496 1576 2167 2176 2992 3152 3349 4334 5984 6304 6698 8668 8669 11968 12608 13396 17336 17338 23936 25216 26792 34672 34676 36839 53584 69344 69352 73678 95359 107168 138688 138704 147356 147373 190718 214336 277376 277408 294712 294746 381436 428672 554816 589424 589492 762872 1109632 1178848 1178984 1525744 1621103 1707793 2357696 2357968 3051488 3242206 3415586 4715392 4715936 6102976 6484412 6831172 9431872 12205952 12968824 13662344 18785723 18863744 25937648 27324688 29032481 37571446 51875296 54649376 58064962 75142892 103750592 109298752 116129924 150285784 207501184 218597504 232259848 300571568 319357291 464519696 601143136 638714582 929039392 1202286272 1277429164 1858078784 2404572544 2554858328 3716157568 5109716656 10219433312 20438866624 40877733248