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2034412958940 = 2235193005959369
BaseRepresentation
bin11101100110101100011…
…101100011010011011100
321012111011201220021221220
4131212230131203103130
5231312434204141230
64154332454053340
7266660435554305
oct35465435432334
97174151807856
102034412958940
1171487609521a
1228a34894a250
13119ac8c78a7b
14706750277ac
1537dbe24ed10
hex1d9ac7634dc

2034412958940 has 96 divisors (see below), whose sum is σ = 5996464992000. Its totient is φ = 513931203072.

The previous prime is 2034412958927. The next prime is 2034412958951. The reversal of 2034412958940 is 498592144302.

It is a super-2 number, since 2×20344129589402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34237576 + ... + 34296944.

It is an arithmetic number, because the mean of its divisors is an integer number (62463177000).

Almost surely, 22034412958940 is an apocalyptic number.

2034412958940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034412958940 is an abundant number, since it is smaller than the sum of its proper divisors (3962052033060).

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

2034412958940 is a wasteful number, since it uses less digits than its factorization.

2034412958940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89459 (or 89457 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 2034412958940 in words is "two trillion, thirty-four billion, four hundred twelve million, nine hundred fifty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 30059 59369 60118 90177 118738 120236 150295 178107 180354 237476 296845 300590 356214 360708 450885 571121 593690 601180 712428 890535 901770 1128011 1142242 1187380 1713363 1781070 1803540 2256022 2284484 2855605 3384033 3426726 3562140 4512044 5640055 5711210 6768066 6853452 8566815 11280110 11422420 13536132 16920165 17133630 22560220 33840330 34267260 67680660 1784572771 3569145542 5353718313 7138291084 8922863855 10707436626 17845727710 21414873252 26768591565 33906882649 35691455420 53537183130 67813765298 101720647947 107074366260 135627530596 169534413245 203441295894 339068826490 406882591788 508603239735 678137652980 1017206479470 2034412958940