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3390428631151 = 172313679831049
BaseRepresentation
bin110001010101100101010…
…010110101000001101111
3110000010021210121201201101
4301111211102311001233
5421022044212144101
611113312540023531
7466643660602462
oct61254522650157
913003253551641
103390428631151
111097966634a91
12469107831ba7
131b7940208283
14ba151c312d9
155d2d5beb401
hex315654b506f

3390428631151 has 48 divisors (see below), whose sum is σ = 3735257702400. Its totient is φ = 3073576412160.

The previous prime is 3390428631133. The next prime is 3390428631221. The reversal of 3390428631151 is 1511368240933.

3390428631151 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3390428631151 - 221 = 3390426533999 is a prime.

It is a super-2 number, since 2×33904286311512 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390428638151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3232057275 + ... + 3232058323.

It is an arithmetic number, because the mean of its divisors is an integer number (77817868800).

Almost surely, 23390428631151 is an apocalyptic number.

3390428631151 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3390428631151 is a deficient number, since it is larger than the sum of its proper divisors (344829071249).

3390428631151 is a wasteful number, since it uses less digits than its factorization.

3390428631151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 3390428631151 in words is "three trillion, three hundred ninety billion, four hundred twenty-eight million, six hundred thirty-one thousand, one hundred fifty-one".

Divisors: 1 17 31 289 367 527 983 1049 6239 8959 11377 16711 17833 30473 32519 106063 193409 284087 303161 360761 384983 518041 552823 1031167 3287953 6132937 6544711 8806697 9397991 11183591 11934473 17529839 31966177 104259929 111260087 190121047 202886041 298007263 378438289 543425009 3232057799 3449062697 6433450913 9238225153 11731586959 109368665521 199436978303 3390428631151