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3374444085156 = 2232211214512
BaseRepresentation
bin110001000110101100100…
…010100111111110100100
3102221121000210212122211100
4301012230202213332210
5420241330141211111
611102110451440100
7465536604315534
oct61065442477644
912847023778740
103374444085156
111091103794aa1
12465ba65b6030
131b6293703231
14b9476d634c4
155cb9c759756
hex311ac8a7fa4

3374444085156 has 81 divisors (see below), whose sum is σ = 8576372827659. Its totient is φ = 1118712294000.

The previous prime is 3374444085121. The next prime is 3374444085179. The reversal of 3374444085156 is 6515804444733.

The square root of 3374444085156 is 1836966.

It is a perfect power (a square), and thus also a powerful number.

3374444085156 is a `hidden beast` number, since 3 + 3 + 7 + 44 + 440 + 8 + 5 + 156 = 666.

3374444085156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33744440851562 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2325598231 + ... + 2325599681.

Almost surely, 23374444085156 is an apocalyptic number.

3374444085156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3374444085156 is the 1836966-th square number.

It is an amenable number.

3374444085156 is an abundant number, since it is smaller than the sum of its proper divisors (5201928742503).

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

3374444085156 is an equidigital number, since it uses as much as digits as its factorization.

3374444085156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 3374444085156 in words is "three trillion, three hundred seventy-four billion, four hundred forty-four million, eighty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1451 1899 2532 2902 3798 4353 5804 7596 8706 13059 17412 26118 44521 52236 89042 133563 178084 267126 306161 400689 534252 612322 801378 918483 1224644 1602756 1836966 2105401 2755449 3673932 4210802 5510898 6316203 8421604 11021796 12632406 18948609 25264812 37897218 64599971 75794436 129199942 193799913 258399884 387599826 444239611 581399739 775199652 888479222 1162799478 1332718833 1776958444 2325598956 2665437666 3998156499 5330875332 7996312998 15992625996 93734557921 187469115842 281203673763 374938231684 562407347526 843611021289 1124814695052 1687222042578 3374444085156