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214412010210034 = 2713343337148091
BaseRepresentation
bin110000110000000110101111…
…101101000100001011110010
31001010011120212122110021012121
4300300012233231010023302
5211100411244103210114
62040003303453144454
763106520330665660
oct6060065755041362
91033146778407177
10214412010210034
116235569406594a
122006a59848b12a
139283c72b4c000
143ad384d36dc30
1519bc535e71a24
hexc301afb442f2

214412010210034 has 128 divisors (see below), whose sum is σ = 407569127454720. Its totient is φ = 82823421844800.

The previous prime is 214412010209987. The next prime is 214412010210071. The reversal of 214412010210034 is 430012010214412.

It is a junction number, because it is equal to n+sod(n) for n = 214412010209990 and 214412010210008.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4458440329 + ... + 4458488419.

It is an arithmetic number, because the mean of its divisors is an integer number (3184133808240).

Almost surely, 2214412010210034 is an apocalyptic number.

214412010210034 is a deficient number, since it is larger than the sum of its proper divisors (193157117244686).

214412010210034 is a wasteful number, since it uses less digits than its factorization.

214412010210034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51553 (or 51527 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 214412010210034 its reverse (430012010214412), we get a palindrome (644424020424446).

The spelling of 214412010210034 in words is "two hundred fourteen trillion, four hundred twelve billion, ten million, two hundred ten thousand, thirty-four".

Divisors: 1 2 7 13 14 26 43 86 91 169 182 301 338 559 602 1118 1183 2197 2366 3371 3913 4394 6742 7267 7826 14534 15379 23597 30758 43823 47194 48091 50869 87646 94471 96182 101738 144953 188942 289906 306761 336637 569699 613522 625183 661297 673274 1014671 1139398 1250366 1322594 1884389 2029342 2067913 3768778 3987893 4135826 4376281 7406087 7975786 8127379 8752562 13190723 14475391 14812174 16254758 24497057 26381446 26882869 28950782 48994114 51842609 53765738 56891653 103685218 105655927 113783306 162114761 171479399 188180083 211311854 318461741 324229522 342958798 349477297 376360166 636923482 698954594 739591489 1134803327 1479182978 2107491893 2229232187 2269606654 2446341079 4214983786 4458464374 4543204861 4892682158 6970934723 9086409722 13941869446 14752443251 27397394609 29504886502 31802434027 48796543061 54794789218 63604868054 90622151399 97593086122 181244302798 191781762263 356166129917 383563524526 634355059793 712332259834 1178087968187 1268710119586 2356175936374 2493162909419 4986325818838 8246615777309 15315143586431 16493231554618 30630287172862 107206005105017 214412010210034