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214351241952 = 25331411756747
BaseRepresentation
bin1100011110100001010…
…1000110001011100000
3202111021111200022110010
43013220111012023200
512002442404220302
6242245511004520
721325552331361
oct3075025061340
9674244608403
10214351241952
11829a6762741
1235661969740
13172a062a613
14a5360a9b68
15589833916c
hex31e85462e0

214351241952 has 96 divisors (see below), whose sum is σ = 594989466624. Its totient is φ = 67459046400.

The previous prime is 214351241939. The next prime is 214351241977. The reversal of 214351241952 is 259142153412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 214351241952.

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, 756358 + ... + 1000389.

It is an arithmetic number, because the mean of its divisors is an integer number (6197806944).

Almost surely, 2214351241952 is an apocalyptic number.

It is an amenable number.

214351241952 is an abundant number, since it is smaller than the sum of its proper divisors (380638224672).

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

214351241952 is a wasteful number, since it uses less digits than its factorization.

214351241952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756832 (or 1756824 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The spelling of 214351241952 in words is "two hundred fourteen billion, three hundred fifty-one million, two hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 7626 10168 15252 20336 30504 40672 61008 122016 1756747 3513494 5270241 7026988 10540482 14053976 21080964 28107952 42161928 54459157 56215904 72026627 84323856 108918314 144053254 163377471 168647712 216079881 217836628 288106508 326754942 432159762 435673256 576213016 653509884 864319524 871346512 1152426032 1307019768 1728639048 1742693024 2232825437 2304852064 2614039536 3457278096 4465650874 5228079072 6698476311 6914556192 8931301748 13396952622 17862603496 26793905244 35725206992 53587810488 71450413984 107175620976 214351241952