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214308059280 = 24357503253607
BaseRepresentation
bin1100011110010111000…
…0010111100010010000
3202111011111102101221220
43013211300113202100
512002400330344110
6242241325245040
721324516306360
oct3074560274220
9674144371856
10214308059280
1182984348987
123564b403780
13172946bb243
14a5304689a0
155894659370
hex31e5c17890

214308059280 has 160 divisors (see below), whose sum is σ = 760775307264. Its totient is φ = 48887121408.

The previous prime is 214308059267. The next prime is 214308059297. The reversal of 214308059280 is 82950803412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718237 + ... + 971843.

Almost surely, 2214308059280 is an apocalyptic number.

214308059280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214308059280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380387653632).

214308059280 is an abundant number, since it is smaller than the sum of its proper divisors (546467247984).

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

214308059280 is a wasteful number, since it uses less digits than its factorization.

214308059280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254133 (or 254127 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 214308059280 in words is "two hundred fourteen billion, three hundred eight million, fifty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 503 560 840 1006 1509 1680 2012 2515 3018 3521 4024 5030 6036 7042 7545 8048 10060 10563 12072 14084 15090 17605 20120 21126 24144 28168 30180 35210 40240 42252 52815 56336 60360 70420 84504 105630 120720 140840 169008 211260 253607 281680 422520 507214 760821 845040 1014428 1268035 1521642 1775249 2028856 2536070 3043284 3550498 3804105 4057712 5072140 5325747 6086568 7100996 7608210 8876245 10144280 10651494 12173136 14201992 15216420 17752490 20288560 21302988 26628735 28403984 30432840 35504980 42605976 53257470 60865680 71009960 85211952 106514940 127564321 142019920 213029880 255128642 382692963 426059760 510257284 637821605 765385926 892950247 1020514568 1275643210 1530771852 1785900494 1913464815 2041029136 2551286420 2678850741 3061543704 3571800988 3826929630 4464751235 5102572840 5357701482 6123087408 7143601976 7653859260 8929502470 10205145680 10715402964 13394253705 14287203952 15307718520 17859004940 21430805928 26788507410 30615437040 35718009880 42861611856 53577014820 71436019760 107154029640 214308059280