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42314123400 = 2335270523539
BaseRepresentation
bin100111011010000111…
…100100100010001000
311001012221111012000120
4213122013210202020
51143124403422100
631234442303240
73025404054153
oct473207444210
9131187435016
1042314123400
1116a4424621a
12824aab7b20
133cb4631053
142095a74c9a
151179c480a0
hex9da1e4888

42314123400 has 48 divisors (see below), whose sum is σ = 131173784400. Its totient is φ = 11283766080.

The previous prime is 42314123323. The next prime is 42314123419. The reversal of 42314123400 is 432141324.

It is a super-2 number, since 2×423141234002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35261170 + ... + 35262369.

It is an arithmetic number, because the mean of its divisors is an integer number (2732787175).

Almost surely, 242314123400 is an apocalyptic number.

42314123400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42314123400 is an abundant number, since it is smaller than the sum of its proper divisors (88859661000).

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

42314123400 is a wasteful number, since it uses less digits than its factorization.

42314123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70523558 (or 70523549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42314123400 its reverse (432141324), we get a palindrome (42746264724).

The spelling of 42314123400 in words is "forty-two billion, three hundred fourteen million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 70523539 141047078 211570617 282094156 352617695 423141234 564188312 705235390 846282468 1057853085 1410470780 1692564936 1763088475 2115706170 2820941560 3526176950 4231412340 5289265425 7052353900 8462824680 10578530850 14104707800 21157061700 42314123400