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31422255414432 = 2533718674738273
BaseRepresentation
bin1110010010100000100000…
…10111110011110010100000
311010020221100000011202011120
413021100100113303302200
513104310234341230212
6150455103532412240
76422116532060361
oct711202027636240
9133227300152146
1031422255414432
11a015116006633
123635a15917080
13146c14ba850ac
147a8bb9621b68
15397571bba88c
hex1c94105f3ca0

31422255414432 has 96 divisors (see below), whose sum is σ = 84758093687232. Its totient is φ = 10185541115904.

The previous prime is 31422255414397. The next prime is 31422255414497. The reversal of 31422255414432 is 23441455222413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314222554144322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4262448 + ... + 9000720.

It is an arithmetic number, because the mean of its divisors is an integer number (882896809242).

Almost surely, 231422255414432 is an apocalyptic number.

31422255414432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31422255414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42379046843616).

31422255414432 is an abundant number, since it is smaller than the sum of its proper divisors (53335838272800).

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

31422255414432 is a wasteful number, since it uses less digits than its factorization.

31422255414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740190 (or 4740182 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 31422255414432 in words is "thirty-one trillion, four hundred twenty-two billion, two hundred fifty-five million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 1867 3552 3734 5601 7468 11202 14936 22404 29872 44808 59744 69079 89616 138158 179232 207237 276316 414474 552632 828948 1105264 1657896 2210528 3315792 4738273 6631584 9476546 14214819 18953092 28429638 37906184 56859276 75812368 113718552 151624736 175316101 227437104 350632202 454874208 525948303 701264404 1051896606 1402528808 2103793212 2805057616 4207586424 5610115232 8415172848 8846355691 16830345696 17692711382 26539067073 35385422764 53078134146 70770845528 106156268292 141541691056 212312536584 283083382112 327315160567 424625073168 654630321134 849250146336 981945481701 1309260642268 1963890963402 2618521284536 3927781926804 5237042569072 7855563853608 10474085138144 15711127707216 31422255414432