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242134104120 = 23358747230683
BaseRepresentation
bin1110000110000001010…
…0010011100000111000
3212010222202000221111020
43201200110103200320
512431342312312440
6303122422102440
723331210632466
oct3414024234070
9763882027436
10242134104120
1193763431257
123ab1627aa20
1319aaa57062c
14ba0dc95836
1564724ad3d0
hex3860513838

242134104120 has 64 divisors (see below), whose sum is σ = 726488507520. Its totient is φ = 64561432704.

The previous prime is 242134104101. The next prime is 242134104133. The reversal of 242134104120 is 21401431242.

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

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, 934299 + ... + 1164981.

It is an arithmetic number, because the mean of its divisors is an integer number (11351382930).

Almost surely, 2242134104120 is an apocalyptic number.

242134104120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242134104120 is an abundant number, since it is smaller than the sum of its proper divisors (484354403400).

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

242134104120 is a wasteful number, since it uses less digits than its factorization.

242134104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239444 (or 239440 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 242134104120 its reverse (21401431242), we get a palindrome (263535535362).

The spelling of 242134104120 in words is "two hundred forty-two billion, one hundred thirty-four million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 8747 17494 26241 34988 43735 52482 69976 87470 104964 131205 174940 209928 230683 262410 349880 461366 524820 692049 922732 1049640 1153415 1384098 1845464 2306830 2768196 3460245 4613660 5536392 6920490 9227320 13840980 27681960 2017784201 4035568402 6053352603 8071136804 10088921005 12106705206 16142273608 20177842010 24213410412 30266763015 40355684020 48426820824 60533526030 80711368040 121067052060 242134104120