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138888304854740 = 22573133139659497
BaseRepresentation
bin11111100101000101110100…
…000100110000011011010100
3200012202120222202200211121022
4133211011310010300123110
5121201021222020322430
61211220223441540312
741153230445334110
oct3745056404603324
9605676882624538
10138888304854740
1140288221309551
12136b1598344698
135c661599ab33c
1426423308c0740
15110cc0be374e5
hex7e51741306d4

138888304854740 has 96 divisors (see below), whose sum is σ = 344188469151744. Its totient is φ = 46068841082880.

The previous prime is 138888304854619. The next prime is 138888304854779. The reversal of 138888304854740 is 47458403888831.

It is a super-2 number, since 2×1388883048547402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9548672 + ... + 19208168.

It is an arithmetic number, because the mean of its divisors is an integer number (3585296553664).

Almost surely, 2138888304854740 is an apocalyptic number.

138888304854740 is a gapful number since it is divisible by the number (10) 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 138888304854740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172094234575872).

138888304854740 is an abundant number, since it is smaller than the sum of its proper divisors (205300164297004).

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

138888304854740 is a wasteful number, since it uses less digits than its factorization.

138888304854740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9662857 (or 9662855 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 71.

The spelling of 138888304854740 in words is "one hundred thirty-eight trillion, eight hundred eighty-eight billion, three hundred four million, eight hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 3313 4340 6626 13252 16565 23191 33130 46382 66260 92764 102703 115955 205406 231910 410812 463820 513515 718921 1027030 1437842 2054060 2875684 3594605 7189210 9659497 14378420 19318994 38637988 48297485 67616479 96594970 135232958 193189940 270465916 299444407 338082395 598888814 676164790 1197777628 1352329580 1497222035 2096110849 2994444070 4192221698 5988888140 8384443396 10480554245 20961108490 32001913561 41922216980 64003827122 128007654244 160009567805 224013394927 320019135610 448026789854 640038271220 896053579708 992059320391 1120066974635 1984118640782 2240133949270 3968237281564 4480267898540 4960296601955 6944415242737 9920593203910 13888830485474 19841186407820 27777660970948 34722076213685 69444152427370 138888304854740