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214545302545104 = 24323767670159023
BaseRepresentation
bin110000110010000010111000…
…100010111110001011010000
31001010122022221000111110111100
4300302002320202332023100
5211110102234422420404
62040144430142344400
763122246413102566
oct6062027042761320
91033568830443440
10214545302545104
11623a7174114053
122009039788b100
1392936c5b510ab
143ada095bbba36
1519c0c37d71d39
hexc320b88be2d0

214545302545104 has 120 divisors (see below), whose sum is σ = 600688063003392. Its totient is φ = 71484235603200.

The previous prime is 214545302545001. The next prime is 214545302545141. The reversal of 214545302545104 is 401545203545412.

214545302545104 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 4 + 530 + 2 + 5 + 4 + 5 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 214545302545104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3634914537 + ... + 3634973559.

Almost surely, 2214545302545104 is an apocalyptic number.

214545302545104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214545302545104 is an abundant number, since it is smaller than the sum of its proper divisors (386142760458288).

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

214545302545104 is a wasteful number, since it uses less digits than its factorization.

214545302545104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69505 (or 69496 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 214545302545104 in words is "two hundred fourteen trillion, five hundred forty-five billion, three hundred two million, five hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3767 6701 7534 11301 13402 15068 20103 22602 26804 30136 33903 40206 45204 53608 59023 60272 60309 67806 80412 90408 107216 118046 120618 135612 160824 177069 180816 236092 241236 271224 321648 354138 472184 482472 531207 542448 708276 944368 964944 1062414 1416552 2124828 2833104 4249656 8499312 25242667 50485334 75728001 100970668 151456002 201941336 222339641 227184003 302912004 395513123 403882672 444679282 454368006 605824008 667018923 791026246 889358564 908736012 1186539369 1211648016 1334037846 1582052492 1778717128 1817472024 2001056769 2373078738 2668075692 3164104984 3557434256 3559618107 3634944048 4002113538 4746157476 5336151384 6328209968 7119236214 8004227076 9492314952 10672302768 14238472428 16008454152 18984629904 28476944856 32016908304 56953889712 1489897934341 2979795868682 4469693803023 5959591737364 8939387606046 11919183474728 13409081409069 17878775212092 23838366949456 26818162818138 35757550424184 53636325636276 71515100848368 107272651272552 214545302545104