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2034138594285 = 335719334333889
BaseRepresentation
bin11101100110011100000…
…110111011101111101101
321012110110121122010102000
4131212130012323233231
5231311403440004120
64154245333322513
7266650564524330
oct35463406735755
97173417563360
102034138594285
1171474522aa76
1228a290a96439
13119a84185415
147064a808617
1537da5106990
hex1d99c1bbbed

2034138594285 has 128 divisors (see below), whose sum is σ = 4351801344000. Its totient is φ = 880660740096.

The previous prime is 2034138594269. The next prime is 2034138594317. The reversal of 2034138594285 is 5824958314302.

2034138594285 is a `hidden beast` number, since 2 + 0 + 3 + 41 + 3 + 8 + 594 + 2 + 8 + 5 = 666.

It is not a de Polignac number, because 2034138594285 - 24 = 2034138594269 is a prime.

It is a super-3 number, since 3×20341385942853 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60006621 + ... + 60040509.

It is an arithmetic number, because the mean of its divisors is an integer number (33998448000).

Almost surely, 22034138594285 is an apocalyptic number.

It is an amenable number.

2034138594285 is an abundant number, since it is smaller than the sum of its proper divisors (2317662749715).

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

2034138594285 is a wasteful number, since it uses less digits than its factorization.

2034138594285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37272 (or 37266 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2034138594285 in words is "two trillion, thirty-four billion, one hundred thirty-eight million, five hundred ninety-four thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1197 1995 2565 3343 3591 5985 10029 16715 17955 23401 30087 33889 50145 63517 70203 90261 101667 117005 150435 169445 190551 210609 237223 305001 317585 351015 444619 451305 508335 571653 631827 643891 711669 915003 952755 1053045 1186115 1333857 1525005 1714959 1931673 2135007 2223095 2858265 3159135 3219455 3558345 4001571 4507237 4575015 5795019 6405021 6669285 8574795 9658365 10675035 12004713 13521711 17385057 20007855 22536185 28975095 32025105 40565133 60023565 67608555 86925285 113290927 121695399 202825665 339872781 566454635 608476995 793036489 1019618343 1699363905 2152527613 2379109467 3058855029 3965182445 5098091715 6457582839 7137328401 10762638065 11895547335 15067693291 15294275145 19372748517 21411985203 32287914195 35686642005 45203079873 58118245551 75338466455 96863742585 107059926015 135609239619 226015399365 290591227755 406827718857 678046198095 2034138594285