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214058801744 = 24411673895023
BaseRepresentation
bin1100011101011011100…
…1100001101001010000
3202110112010101210220022
43013112321201221100
512001343023123434
6242200503003012
721315401536124
oct3072671415120
9673463353808
10214058801744
1182866682017
123559ba39468
1317254b78788
14a509303584
15587c82022e
hex31d6e61a50

214058801744 has 80 divisors (see below), whose sum is σ = 428582568960. Its totient is φ = 103506232320.

The previous prime is 214058801711. The next prime is 214058801753. The reversal of 214058801744 is 447108850412.

214058801744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214058801695 and 214058801704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42613217 + ... + 42618239.

It is an arithmetic number, because the mean of its divisors is an integer number (5357282112).

Almost surely, 2214058801744 is an apocalyptic number.

It is an amenable number.

214058801744 is an abundant number, since it is smaller than the sum of its proper divisors (214523767216).

214058801744 is a wasteful number, since it uses less digits than its factorization.

214058801744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 214058801744 in words is "two hundred fourteen billion, fifty-eight million, eight hundred one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 41 82 164 167 328 334 389 656 668 778 1336 1556 2672 3112 5023 6224 6847 10046 13694 15949 20092 27388 31898 40184 54776 63796 64963 80368 109552 127592 129926 205943 255184 259852 411886 519704 823772 838841 1039408 1647544 1677682 1953947 2663483 3295088 3355364 3907894 5326966 6710728 7815788 10653932 13421456 15631576 21307864 31263152 34392481 42615728 68784962 80111827 137569924 160223654 275139848 320447308 326309149 550279696 640894616 652618298 1281789232 1305236596 2610473192 5220946384 13378675109 26757350218 53514700436 107029400872 214058801744