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31432533433252 = 2273192611040371
BaseRepresentation
bin1110010010110011101001…
…11111010101101110100100
311010021220212022002012102021
413021121310333111232210
513104442312024331002
6150503523450152524
76422632323562000
oct711316477255644
9133256768065367
1031432533433252
11a01950a751266
123637a03a22744
1314700c9245233
147a94b2675700
15397974194737
hex1c9674fd5ba4

31432533433252 has 144 divisors (see below), whose sum is σ = 68811868675200. Its totient is φ = 12552854731200.

The previous prime is 31432533433193. The next prime is 31432533433253. The reversal of 31432533433252 is 25233433523413.

31432533433252 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 31432533433199 and 31432533433208.

It is not an unprimeable number, because it can be changed into a prime (31432533433253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29692627 + ... + 30732997.

Almost surely, 231432533433252 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 31432533433252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34405934337600).

31432533433252 is an abundant number, since it is smaller than the sum of its proper divisors (37379335241948).

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

31432533433252 is a wasteful number, since it uses less digits than its factorization.

31432533433252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040495 (or 1040460 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 43.

Adding to 31432533433252 its reverse (25233433523413), we get a palindrome (56665966956665).

The spelling of 31432533433252 in words is "thirty-one trillion, four hundred thirty-two billion, five hundred thirty-three million, four hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 49 61 76 98 122 133 196 244 266 343 361 427 532 686 722 854 931 1159 1372 1444 1708 1862 2318 2527 2989 3724 4636 5054 5978 6517 8113 10108 11956 13034 16226 17689 20923 22021 26068 32452 35378 41846 44042 56791 70756 83692 88084 113582 123823 154147 227164 247646 308294 397537 495292 616588 795074 1040371 1079029 1590148 2080742 2158058 4161484 4316116 7282597 7553203 14565194 15106406 19767049 29130388 30212812 39534098 50978179 63462631 79068196 101956358 126925262 138369343 203912716 253850524 276738686 356847253 375573931 444238417 553477372 713694506 751147862 888476834 968585401 1205789989 1427389012 1502295724 1776953668 1937170802 2411579978 2629017517 3109668919 3874341604 4823159956 5258035034 6219337838 6780097807 8440529923 10516070068 12438675676 13560195614 16881059846 18403122619 21767682433 22910009791 27120391228 33762119692 36806245238 43535364866 45820019582 59083709461 73612490476 87070729732 91640039164 118167418922 128821858333 160370068537 236334837844 257643716666 320740137074 413585966227 515287433332 641480274148 827171932454 1122590479759 1654343864908 2245180959518 4490361919036 7858133358313 15716266716626 31432533433252