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31422224412144 = 2432218209891751
BaseRepresentation
bin1110010010100000011101…
…00001100010110111110000
311010020221020211211200000200
413021100032201202313300
513104310203422142034
6150455100504115200
76422116004415606
oct711201641426760
9133227224750020
1031422224412144
11a0150aa561105
123635a07465b00
13146c14551bb47
147a8bb5471876
1539756e0e4a99
hex1c940e862df0

31422224412144 has 30 divisors (see below), whose sum is σ = 87938586376056. Its totient is φ = 10474074804000.

The previous prime is 31422224412133. The next prime is 31422224412151. The reversal of 31422224412144 is 44121442222413.

31422224412144 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 2 + 224 + 412 + 14 + 4 = 666.

31422224412144 is digitally balanced in base 5, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31422224412099 and 31422224412108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109104945732 + ... + 109104946019.

Almost surely, 231422224412144 is an apocalyptic number.

It is an amenable number.

31422224412144 is an abundant number, since it is smaller than the sum of its proper divisors (56516361963912).

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

31422224412144 is a wasteful number, since it uses less digits than its factorization.

31422224412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218209891765 (or 218209891756 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 31422224412144 its reverse (44121442222413), we get a palindrome (75543666634557).

The spelling of 31422224412144 in words is "thirty-one trillion, four hundred twenty-two billion, two hundred twenty-four million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 218209891751 436419783502 654629675253 872839567004 1309259350506 1745679134008 1963889025759 2618518701012 3491358268016 3927778051518 5237037402024 7855556103036 10474074804048 15711112206072 31422224412144