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40825528356 = 223172234311903
BaseRepresentation
bin100110000001011001…
…000010000000100100
310220101012102201111210
4212001121002000210
51132102313401411
630431024431420
72643460160004
oct460131020044
9126335381453
1040825528356
111634aa45788
127ab4478570
133b08102c92
141d940a0004
1510de202ca6
hex981642024

40825528356 has 144 divisors (see below), whose sum is σ = 108057083904. Its totient is φ = 11965223424.

The previous prime is 40825528321. The next prime is 40825528369. The reversal of 40825528356 is 65382552804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3423901 + ... + 3435803.

It is an arithmetic number, because the mean of its divisors is an integer number (750396416).

Almost surely, 240825528356 is an apocalyptic number.

40825528356 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40825528356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54028541952).

40825528356 is an abundant number, since it is smaller than the sum of its proper divisors (67231555548).

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

40825528356 is a wasteful number, since it uses less digits than its factorization.

40825528356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 40825528356 in words is "forty billion, eight hundred twenty-five million, five hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 23 34 43 46 51 68 69 86 92 102 129 138 172 204 258 276 289 391 516 578 731 782 867 989 1156 1173 1462 1564 1734 1978 2193 2346 2924 2967 3468 3956 4386 4692 5934 6647 8772 11868 11903 12427 13294 16813 19941 23806 24854 26588 33626 35709 37281 39882 47612 49708 50439 67252 71418 74562 79764 100878 142836 149124 201756 202351 273769 285821 404702 511829 547538 571642 607053 809404 821307 857463 1023658 1095076 1143284 1214106 1535487 1642614 1714926 2047316 2428212 3070974 3285228 3429852 3439967 4654073 6141948 6879934 8701093 9308146 10319901 11772067 13759868 13962219 17402186 18616292 20639802 23544134 26103279 27924438 34804372 35316201 41279604 47088268 52206558 55848876 70632402 79119241 104413116 141264804 147918581 158238482 200125139 237357723 295837162 316476964 400250278 443755743 474715446 591674324 600375417 800500556 887511486 949430892 1200750834 1775022972 2401501668 3402127363 6804254726 10206382089 13608509452 20412764178 40825528356