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32431440530132 = 22723167252131601
BaseRepresentation
bin1110101111111000010000…
…11111100000101011010100
311020211102012212000101122222
413113330020133200223110
513222324042233431012
6152550444220041512
76555044221033400
oct727741037405324
9136742185011588
1032431440530132
11a374107769936
12377951b993298
13151336bc76427
148019938aa100
153b39399c7972
hex1d7f087e0ad4

32431440530132 has 144 divisors (see below), whose sum is σ = 69197664646656. Its totient is φ = 13244394240000.

The previous prime is 32431440530087. The next prime is 32431440530143. The reversal of 32431440530132 is 23103504413423.

It is a junction number, because it is equal to n+sod(n) for n = 32431440530092 and 32431440530101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1026263132 + ... + 1026294732.

It is an arithmetic number, because the mean of its divisors is an integer number (480539337824).

Almost surely, 232431440530132 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 32431440530132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34598832323328).

32431440530132 is an abundant number, since it is smaller than the sum of its proper divisors (36766224116524).

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

32431440530132 is a wasteful number, since it uses less digits than its factorization.

32431440530132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34238 (or 34229 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 32431440530132 its reverse (23103504413423), we get a palindrome (55534944943555).

The spelling of 32431440530132 in words is "thirty-two trillion, four hundred thirty-one billion, four hundred forty million, five hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 49 62 67 98 124 134 196 217 268 434 469 868 938 1519 1876 2077 2521 3038 3283 4154 5042 6076 6566 8308 10084 13132 14539 17647 29078 31601 35294 58156 63202 70588 78151 101773 123529 126404 156302 168907 203546 221207 247058 312604 337814 407092 442414 494116 547057 675628 884828 979631 1094114 1182349 1548449 1959262 2117267 2188228 2364698 3096898 3829399 3918524 4234534 4729396 5236117 6193796 6857417 7658798 8276443 8469068 10472234 13714834 14820869 15317596 16552886 20944468 27429668 29641738 33105772 36652819 48001919 59283476 65635277 73305638 79666121 96003838 103746083 131270554 146611276 159332242 192007676 207492166 256569733 262541108 318664484 414984332 459446939 513139466 557662847 918893878 1026278932 1115325694 1837787756 2230651388 2469649751 3216128573 3903639929 4939299502 5337630107 6432257146 7807279858 9878599004 10675260214 12864514292 15614559716 17287548257 21350520428 34575096514 37363410749 69150193028 74726821498 121012837799 149453642996 165466533317 242025675598 261543875243 330933066634 484051351196 523087750486 661866133268 1046175500972 1158265733219 2316531466438 4633062932876 8107860132533 16215720265066 32431440530132