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6241845062142 = 23542191133487
BaseRepresentation
bin101101011010100101011…
…1101010010100111111110
3211002201021220200122100000
41122311022331102213332
51304231244313442032
621135244122015130
71212646511423664
oct132651275224776
924081256618300
106241845062142
111a971738a4138
128498653474a6
133637aca6b271
1417816d524c34
15ac570d9de7c
hex5ad4af529fe

6241845062142 has 96 divisors (see below), whose sum is σ = 14074051590144. Its totient is φ = 2073332570400.

The previous prime is 6241845062099. The next prime is 6241845062143. The reversal of 6241845062142 is 2412605481426.

6241845062142 is a `hidden beast` number, since 6 + 2 + 4 + 1 + 84 + 506 + 21 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6241845062143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186379323 + ... + 186412809.

It is an arithmetic number, because the mean of its divisors is an integer number (146604704064).

Almost surely, 26241845062142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6241845062142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037025795072).

6241845062142 is an abundant number, since it is smaller than the sum of its proper divisors (7832206528002).

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

6241845062142 is a wasteful number, since it uses less digits than its factorization.

6241845062142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34836 (or 34824 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 6241845062142 in words is "six trillion, two hundred forty-one billion, eight hundred forty-five million, sixty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 421 486 842 911 1263 1822 2526 2733 3789 5466 7578 8199 11367 16398 22734 24597 33487 34101 49194 66974 68202 73791 100461 102303 147582 200922 204606 221373 301383 383531 442746 602766 767062 904149 1150593 1808298 2301186 2712447 3451779 5424894 6903558 8137341 10355337 14098027 16274682 20710674 28196054 30506657 31066011 42294081 61013314 62132022 84588162 91519971 93198033 126882243 183039942 186396066 253764486 274559913 380646729 549119826 761293458 823679739 1141940187 1647359478 2283880374 2471039217 3425820561 4942078434 6851641122 7413117651 12843302597 14826235302 25686605194 38529907791 77059815582 115589723373 231179446746 346769170119 693538340238 1040307510357 2080615020714 3120922531071 6241845062142