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234235424532432 = 2439757077881411
BaseRepresentation
bin110101010000100100101111…
…010001011110011111010000
31010201100200120110210220102210
4311100210233101132133100
5221200203122140014212
62150102133555312120
7100223644115356311
oct6520445721363720
91121320513726383
10234235424532432
11686a875a709754
12223304898ab640
13a0913c898a3cb
1441bb0ab04a608
151c1300323553c
hexd5092f45e7d0

234235424532432 has 80 divisors (see below), whose sum is σ = 611357813220672. Its totient is φ = 77272100597760.

The previous prime is 234235424532397. The next prime is 234235424532479.

234235424532432 is nontrivially palindromic in base 10.

234235424532432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 265309807 + ... + 266191217.

Almost surely, 2234235424532432 is an apocalyptic number.

It is an amenable number.

234235424532432 is an abundant number, since it is smaller than the sum of its proper divisors (377122388688240).

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

234235424532432 is a wasteful number, since it uses less digits than its factorization.

234235424532432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938596 (or 938590 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 48.

The spelling of 234235424532432 in words is "two hundred thirty-four trillion, two hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 776 1164 1552 2328 4656 57077 114154 171231 228308 342462 456616 684924 881411 913232 1369848 1762822 2644233 2739696 3525644 5288466 5536469 7051288 10576932 11072938 14102576 16609407 21153864 22145876 33218814 42307728 44291752 66437628 85496867 88583504 132875256 170993734 256490601 265750512 341987468 512981202 683974936 1025962404 1367949872 2051924808 4103849616 50308295647 100616591294 150924886941 201233182588 301849773882 402466365176 603699547764 804932730352 1207399095528 2414798191056 4879904677759 9759809355518 14639714033277 19519618711036 29279428066554 39039237422072 58558856133108 78078474844144 117117712266216 234235424532432