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43238830989376 = 2611467932
BaseRepresentation
bin10011101010011010100110…
…01010010110000001000000
312200002120222110211121122201
421311031103022112001000
521131411111213130001
6231543351132442544
712051621353156311
oct1165152312260100
9180076873747581
1043238830989376
1112860537950000
124a23b85019454
131b18534235009
14a96ab06ba608
154eeb1b953501
hex275353296040

43238830989376 has 105 divisors (see below), whose sum is σ = 94395570735405. Its totient is φ = 19651120811520.

The previous prime is 43238830989359. The next prime is 43238830989397. The reversal of 43238830989376 is 67398903883234.

The square root of 43238830989376 is 6575624.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4473563406400 + 38765267582976 = 2115080^2 + 6226176^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 43238830989299 and 43238830989308.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6365200636 + ... + 6365207428.

Almost surely, 243238830989376 is an apocalyptic number.

43238830989376 is the 6575624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43238830989376

43238830989376 is an abundant number, since it is smaller than the sum of its proper divisors (51156739746029).

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

43238830989376 is an frugal number, since it uses more digits than its factorization.

43238830989376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 73.

The spelling of 43238830989376 in words is "forty-three trillion, two hundred thirty-eight billion, eight hundred thirty million, nine hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1331 1936 2662 3872 5324 6793 7744 10648 13586 14641 21296 27172 29282 42592 54344 58564 74723 85184 108688 117128 149446 217376 234256 298892 434752 468512 597784 821953 937024 1195568 1643906 2391136 3287812 4782272 6575624 9041483 13151248 18082966 26302496 36165932 46144849 52604992 72331864 92289698 99456313 144663728 184579396 198912626 289327456 369158792 397825252 507593339 578654912 738317584 795650504 1015186678 1476635168 1591301008 2030373356 2953270336 3182602016 4060746712 5583526729 6365204032 8121493424 11167053458 16242986848 22334106916 32485973696 44668213832 61418794019 89336427664 122837588038 178672855328 245675176076 357345710656 491350352152 675606734209 982700704304 1351213468418 1965401408608 2702426936836 3930802817216 5404853873672 10809707747344 21619415494688 43238830989376