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242334214104 = 23369135394129
BaseRepresentation
bin1110000110110000111…
…1101010011111011000
3212011111200120120210010
43201230033222133120
512432300024322404
6303154331121520
723336160555513
oct3415417523730
9764450516703
10242334214104
1193856389904
123ab712a32a0
1319b0cb659c8
14ba2c6a5d7a
156484d3a189
hex386c3ea7d8

242334214104 has 64 divisors (see below), whose sum is σ = 607030704000. Its totient is φ = 80618849280.

The previous prime is 242334214093. The next prime is 242334214151. The reversal of 242334214104 is 401412433242.

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, 58688712 + ... + 58692840.

It is an arithmetic number, because the mean of its divisors is an integer number (9484854750).

Almost surely, 2242334214104 is an apocalyptic number.

242334214104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242334214104 is an abundant number, since it is smaller than the sum of its proper divisors (364696489896).

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

242334214104 is a wasteful number, since it uses less digits than its factorization.

242334214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 242334214104 its reverse (401412433242), we get a palindrome (643746647346).

The spelling of 242334214104 in words is "two hundred forty-two billion, three hundred thirty-four million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 691 1382 2073 2764 3539 4129 4146 5528 7078 8258 8292 10617 12387 14156 16516 16584 21234 24774 28312 33032 42468 49548 84936 99096 2445449 2853139 4890898 5706278 7336347 8559417 9781796 11412556 14612531 14672694 17118834 19563592 22825112 29225062 29345388 34237668 43837593 58450124 58690776 68475336 87675186 116900248 175350372 350700744 10097258921 20194517842 30291776763 40389035684 60583553526 80778071368 121167107052 242334214104