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234132243413024 = 251123187715407297
BaseRepresentation
bin110101001111000100101001…
…001100101111100000100000
31010200222211020121022221201202
4311033010221030233200200
5221142010313303204044
62145542511234020332
7100213332153335225
oct6517045114574040
91120884217287652
10234132243413024
1168668a21656550
12223144927176a8
13a0847640bcbb8
1441b60bd71794c
151c104b4acbc4e
hexd4f12932f820

234132243413024 has 96 divisors (see below), whose sum is σ = 524994928004736. Its totient is φ = 101742387281920.

The previous prime is 234132243412967. The next prime is 234132243413129. The reversal of 234132243413024 is 420314342231432.

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, 7492544 + ... + 22899840.

It is an arithmetic number, because the mean of its divisors is an integer number (5468697166716).

Almost surely, 2234132243413024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234132243413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262497464002368).

234132243413024 is an abundant number, since it is smaller than the sum of its proper divisors (290862684591712).

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

234132243413024 is a wasteful number, since it uses less digits than its factorization.

234132243413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409218 (or 15409210 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 234132243413024 its reverse (420314342231432), we get a palindrome (654446585644456).

The spelling of 234132243413024 in words is "two hundred thirty-four trillion, one hundred thirty-two billion, two hundred forty-three million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 1877 2024 3754 4048 7508 8096 15016 20647 30032 41294 43171 60064 82588 86342 165176 172684 330352 345368 474881 660704 690736 949762 1381472 1899524 3799048 7598096 15196192 15407297 30814594 61629188 123258376 169480267 246516752 338960534 354367831 493033504 677921068 708735662 1355842136 1417471324 2711684272 2834942648 3898046141 5423368544 5669885296 7796092282 11339770592 15592184564 28919496469 31184369128 57838992938 62368738256 115677985876 124737476512 231355971752 318114461159 462711943504 636228922318 665148418787 925423887008 1272457844636 1330296837574 2544915689272 2660593675148 5089831378544 5321187350296 7316632606657 10179662757088 10642374700592 14633265213314 21284749401184 29266530426628 58533060853256 117066121706512 234132243413024