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214052152326 = 2317191096191637
BaseRepresentation
bin1100011101011010000…
…0001010010000000110
3202110111122212222121120
43013112200022100012
512001334322333301
6242200104254410
721315261163065
oct3072640122006
9673448788546
10214052152326
1182862950231
1235599771406
131725368accc
14a5084921dc
15587be59e36
hex31d680a406

214052152326 has 128 divisors (see below), whose sum is σ = 482594112000. Its totient is φ = 62895273984.

The previous prime is 214052152319. The next prime is 214052152367. The reversal of 214052152326 is 623251250412.

It is a happy number.

It is a super-3 number, since 3×2140521523263 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

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, 130757980 + ... + 130759616.

It is an arithmetic number, because the mean of its divisors is an integer number (3770266500).

Almost surely, 2214052152326 is an apocalyptic number.

214052152326 is an abundant number, since it is smaller than the sum of its proper divisors (268541959674).

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

214052152326 is a wasteful number, since it uses less digits than its factorization.

214052152326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 214052152326 in words is "two hundred fourteen billion, fifty-two million, one hundred fifty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 109 114 218 323 327 619 646 654 969 1238 1637 1853 1857 1938 2071 3274 3706 3714 4142 4911 5559 6213 9822 10523 11118 11761 12426 21046 23522 27829 31103 31569 35207 35283 55658 62206 63138 67471 70414 70566 83487 93309 105621 134942 166974 178433 186618 199937 202413 211242 356866 399874 404826 528751 535299 599811 1013303 1057502 1070598 1147007 1199622 1281949 1586253 2026606 2294014 2563898 3033361 3039909 3172506 3390227 3441021 3845847 6066722 6079818 6780454 6882042 7691694 9100083 10170681 17226151 18200166 19252757 20341362 21793133 34452302 38505514 43586266 51678453 57633859 57758271 65379399 103356906 110450027 115267718 115516542 130758798 172901577 220900054 327296869 331350081 345803154 654593738 662700162 981890607 1877650459 1963781214 2098550513 3755300918 4197101026 5632951377 6295651539 11265902754 12591303078 35675358721 71350717442 107026076163 214052152326