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214033444332012 = 223271277302302001
BaseRepresentation
bin110000101010100110001011…
…011010110110000111101100
31001001211101201201222002222100
4300222212023122312013230
5211023210443222111022
62035113335032415100
763040256164061334
oct6052461332660754
91031741651862870
10214033444332012
116221a08a537648
1220009147547490
1392573620532a6
143abd3b9b280c4
1519b277b1791ac
hexc2a98b6b61ec

214033444332012 has 72 divisors (see below), whose sum is σ = 550629795354912. Its totient is φ = 70085695680000.

The previous prime is 214033444331953. The next prime is 214033444332091. The reversal of 214033444332012 is 210233444330412.

214033444332012 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 3 + 3 + 4 + 443 + 3 + 201 + 2 = 666.

214033444332012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150442989 + ... + 151859012.

It is an arithmetic number, because the mean of its divisors is an integer number (7647636046596).

Almost surely, 2214033444332012 is an apocalyptic number.

It is an amenable number.

214033444332012 is an abundant number, since it is smaller than the sum of its proper divisors (336596351022900).

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

214033444332012 is a wasteful number, since it uses less digits than its factorization.

214033444332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302302359 (or 302302354 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 214033444332012 its reverse (210233444330412), we get a palindrome (424266888662424).

The spelling of 214033444332012 in words is "two hundred fourteen trillion, thirty-three billion, four hundred forty-four million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 277 284 426 554 639 831 852 1108 1278 1662 2493 2556 3324 4986 9972 19667 39334 59001 78668 118002 177003 236004 354006 708012 302302001 604604002 906906003 1209208004 1813812006 2720718009 3627624012 5441436018 10882872036 21463442071 42926884142 64390326213 83737654277 85853768284 128780652426 167475308554 193170978639 251212962831 257561304852 334950617108 386341957278 502425925662 753638888493 772683914556 1004851851324 1507277776986 3014555553972 5945373453667 11890746907334 17836120361001 23781493814668 35672240722002 53508361083003 71344481444004 107016722166006 214033444332012