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214272977280 = 2735195873711
BaseRepresentation
bin1100011110001110101…
…0100010100110000000
3202111002001102001111120
43013203222202212000
512002312340233110
6242234033312240
721323612153445
oct3074352424600
9674061361446
10214272977280
118296656729a
123563b705680
131728a35706b
14a5299359cc
155891529870
hex31e3aa2980

214272977280 has 128 divisors (see below), whose sum is σ = 718942348800. Its totient is φ = 54132111360.

The previous prime is 214272977251. The next prime is 214272977293. The reversal of 214272977280 is 82779272412.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2900376 + ... + 2973335.

It is an arithmetic number, because the mean of its divisors is an integer number (5616737100).

Almost surely, 2214272977280 is an apocalyptic number.

214272977280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214272977280 is an abundant number, since it is smaller than the sum of its proper divisors (504669371520).

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

214272977280 is a wasteful number, since it uses less digits than its factorization.

214272977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873752 (or 5873740 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 214272977280 in words is "two hundred fourteen billion, two hundred seventy-two million, nine hundred seventy-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 5873711 11747422 17621133 23494844 29368555 35242266 46989688 58737110 70484532 88105665 93979376 111600509 117474220 140969064 176211330 187958752 223201018 234948440 281938128 334801527 352422660 375917504 446402036 469896880 558002545 563876256 669603054 704845320 751835008 892804072 939793760 1116005090 1127752512 1339206108 1409690640 1674007635 1785608144 1879587520 2232010180 2255505024 2678412216 2819381280 3348015270 3571216288 3759175040 4464020360 5356824432 5638762560 6696030540 7142432576 8928040720 10713648864 11277525120 13392061080 14284865152 17856081440 21427297728 26784122160 35712162880 42854595456 53568244320 71424325760 107136488640 214272977280