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234305735145700 = 225223711434817729
BaseRepresentation
bin110101010001100110001110…
…000111001011100011100100
31010201121102001112122010121111
4311101212032013023203210
5221202331121144130300
62150154322503554404
7100232013353621101
oct6521461607134344
91121542045563544
10234305735145700
11687255601740a9
122234203075ba04
13a097c2257a59a
1441c065add9aa8
151c14c6ac4e9ba
hexd5198e1cb8e4

234305735145700 has 72 divisors (see below), whose sum is σ = 538022213124480. Its totient is φ = 88384772044800.

The previous prime is 234305735145649. The next prime is 234305735145707. The reversal of 234305735145700 is 7541537503432.

It is not an unprimeable number, because it can be changed into a prime (234305735145707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 717245565 + ... + 717572164.

It is an arithmetic number, because the mean of its divisors is an integer number (7472530737840).

Almost surely, 2234305735145700 is an apocalyptic number.

234305735145700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234305735145700 is an abundant number, since it is smaller than the sum of its proper divisors (303716477978780).

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

234305735145700 is a wasteful number, since it uses less digits than its factorization.

234305735145700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434817837 (or 1434817830 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 49.

The spelling of 234305735145700 in words is "two hundred thirty-four trillion, three hundred five billion, seven hundred thirty-five million, one hundred forty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 142 230 284 355 460 575 710 1150 1420 1633 1775 2300 3266 3550 6532 7100 8165 16330 32660 40825 81650 163300 1434817729 2869635458 5739270916 7174088645 14348177290 28696354580 33000807767 35870443225 66001615534 71740886450 101872058759 132003231068 143481772900 165004038835 203744117518 330008077670 407488235036 509360293795 660016155340 825020194175 1018720587590 1650040388350 2037441175180 2343057351457 2546801468975 3300080776700 4686114702914 5093602937950 9372229405828 10187205875900 11715286757285 23430573514570 46861147029140 58576433786425 117152867572850 234305735145700