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2125051235040 = 253531142812583
BaseRepresentation
bin11110111011000110111…
…011001000101011100000
321112011010110210210021210
4132323012323020223200
5234304101104010130
64304122434550120
7306346515315156
oct36730673105340
97464113723253
102125051235040
1174a258027618
122a3a23438340
131255120a88c6
1474bd29d33d6
153a42665a5b0
hex1eec6ec8ae0

2125051235040 has 96 divisors (see below), whose sum is σ = 6909844064256. Its totient is φ = 548400314880.

The previous prime is 2125051235033. The next prime is 2125051235053. The reversal of 2125051235040 is 405321505212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2125051234989 and 2125051235007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71391412 + ... + 71421171.

It is an arithmetic number, because the mean of its divisors is an integer number (71977542336).

Almost surely, 22125051235040 is an apocalyptic number.

2125051235040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125051235040 is an abundant number, since it is smaller than the sum of its proper divisors (4784792829216).

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

2125051235040 is a wasteful number, since it uses less digits than its factorization.

2125051235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142812632 (or 142812624 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 2125051235040 in words is "two trillion, one hundred twenty-five billion, fifty-one million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 142812583 285625166 428437749 571250332 714062915 856875498 1142500664 1428125830 1713750996 2142188745 2285001328 2856251660 3427501992 4284377490 4427190073 4570002656 5712503320 6855003984 8568754980 8854380146 11425006640 13281570219 13710007968 17137509960 17708760292 22135950365 22850013280 26563140438 34275019920 35417520584 44271900730 53126280876 66407851095 68550039840 70835041168 88543801460 106252561752 132815702190 141670082336 177087602920 212505123504 265631404380 354175205840 425010247008 531262808760 708350411680 1062525617520 2125051235040