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214041521355 = 35317310496011
BaseRepresentation
bin1100011101010111011…
…1100110110011001011
3202110110220212212122220
43013111313212303023
512001324112140410
6242155044345123
721315101625024
oct3072567466313
9673426785586
10214041521355
118285794a002
12355960a51a3
13172514081ac
14a506cc5c4b
15587b05a070
hex31d5de6ccb

214041521355 has 64 divisors (see below), whose sum is σ = 358757683200. Its totient is φ = 108837734400.

The previous prime is 214041521303. The next prime is 214041521399. The reversal of 214041521355 is 553125140412.

It is not a de Polignac number, because 214041521355 - 27 = 214041521227 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35605300 + ... + 35611310.

It is an arithmetic number, because the mean of its divisors is an integer number (5605588800).

Almost surely, 2214041521355 is an apocalyptic number.

214041521355 is a deficient number, since it is larger than the sum of its proper divisors (144716161845).

214041521355 is a wasteful number, since it uses less digits than its factorization.

214041521355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172.

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 214041521355 its reverse (553125140412), we get a palindrome (767166661767).

The spelling of 214041521355 in words is "two hundred fourteen billion, forty-one million, five hundred twenty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 15 31 73 93 155 219 365 465 1049 1095 2263 3147 5245 6011 6789 11315 15735 18033 30055 32519 33945 76577 90165 97557 162595 186341 229731 382885 438803 487785 559023 931705 1148655 1316409 2194015 2373887 2795115 6305539 6582045 7121661 11869435 13602893 18916617 31527695 35608305 40808679 68014465 94583085 195471709 204043395 460304347 586415127 977358545 1380913041 2301521735 2932075635 6904565205 14269434757 42808304271 71347173785 214041521355