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234051972928 = 26235926310247
BaseRepresentation
bin1101100111111010010…
…1011010111101000000
3211101010111002010202221
43121332211122331000
512313314301113203
6255304430020424
722624011642004
oct3317645327500
9741114063687
10234051972928
1190296267494
123943b647714
13190c0002097
14b48472c704
15614cb8cabd
hex367e95af40

234051972928 has 112 divisors (see below), whose sum is σ = 494776719360. Its totient is φ = 109611544064.

The previous prime is 234051972907. The next prime is 234051972941. The reversal of 234051972928 is 829279150432.

It is a happy number.

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, 22835901 + ... + 22846147.

It is an arithmetic number, because the mean of its divisors is an integer number (4417649280).

Almost surely, 2234051972928 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 234051972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247388359680).

234051972928 is an abundant number, since it is smaller than the sum of its proper divisors (260724746432).

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

234051972928 is a wasteful number, since it uses less digits than its factorization.

234051972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10604 (or 10594 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 234051972928 in words is "two hundred thirty-four billion, fifty-one million, nine hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 184 236 263 368 472 526 736 944 1052 1357 1472 1888 2104 2714 3776 4208 5428 6049 8416 10247 10856 12098 15517 16832 20494 21712 24196 31034 40988 43424 48392 62068 81976 86848 96784 124136 163952 193568 235681 248272 327904 356891 387136 471362 496544 604573 655808 713782 942724 993088 1209146 1427564 1885448 2418292 2694961 2855128 3770896 4836584 5389922 5710256 7541792 9673168 10779844 11420512 13905179 15083584 19346336 21559688 22841024 27810358 38692672 43119376 55620716 61984103 86238752 111241432 123968206 159002699 172477504 222482864 247936412 318005398 444965728 495872824 636010796 889931456 991745648 1272021592 1983491296 2544043184 3657062077 3966982592 5088086368 7314124154 10176172736 14628248308 29256496616 58512993232 117025986464 234051972928