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31432223214 = 23272959145799
BaseRepresentation
bin11101010001100000…
…011010100111101110
310000010120021101021100
4131101200122213232
51003333122120324
622234553343530
72161630326510
oct352140324756
9100116241240
1031432223214
111236a741587
126112707ba6
132c6c016762
141742747bb0
15c3e7364c9
hex75181a9ee

31432223214 has 96 divisors (see below), whose sum is σ = 81881280000. Its totient is φ = 8523934272.

The previous prime is 31432223213. The next prime is 31432223227. The reversal of 31432223214 is 41232223413.

31432223214 is a `hidden beast` number, since 3 + 1 + 432 + 223 + 2 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31432223213) 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, 142687 + ... + 288485.

It is an arithmetic number, because the mean of its divisors is an integer number (852930000).

Almost surely, 231432223214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31432223214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40940640000).

31432223214 is an abundant number, since it is smaller than the sum of its proper divisors (50449056786).

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

31432223214 is a wasteful number, since it uses less digits than its factorization.

31432223214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145902 (or 145899 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 31432223214 its reverse (41232223413), we get a palindrome (72664446627).

The spelling of 31432223214 in words is "thirty-one billion, four hundred thirty-two million, two hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 59 63 87 118 126 174 177 203 261 354 406 413 522 531 609 826 1062 1218 1239 1711 1827 2478 3422 3654 3717 5133 7434 10266 11977 15399 23954 30798 35931 71862 107793 145799 215586 291598 437397 874794 1020593 1312191 2041186 2624382 3061779 4228171 6123558 8456342 8602141 9185337 12684513 17204282 18370674 25369026 25806423 29597197 38053539 51612846 59194394 60214987 76107078 77419269 88791591 120429974 154838538 177583182 180644961 249462089 266374773 361289922 498924178 532749546 541934883 748386267 1083869766 1496772534 1746234623 2245158801 3492469246 4490317602 5238703869 10477407738 15716111607 31432223214