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31414222122444 = 22327859145121783
BaseRepresentation
bin1110010010010001100011…
…00011001110110111001100
311010020011121011010020020200
413021020301203032313030
513104142311330404234
6150451254443213500
76421413465161130
oct711106143166714
9133204534106220
1031414222122444
11a01177346a447
123634353517290
13146b46b686795
147a865676d3c0
153972517e5d99
hex1c92318cedcc

31414222122444 has 72 divisors (see below), whose sum is σ = 90857846526720. Its totient is φ = 8965043204832.

The previous prime is 31414222122443. The next prime is 31414222122487. The reversal of 31414222122444 is 44422122241413.

31414222122444 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 422 + 2 + 1 + 224 + 4 + 4 = 666.

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 = 31414222122399 and 31414222122408.

It is not an unprimeable number, because it can be changed into a prime (31414222122443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72344424 + ... + 72777359.

Almost surely, 231414222122444 is an apocalyptic number.

It is an amenable number.

31414222122444 is an abundant number, since it is smaller than the sum of its proper divisors (59443624404276).

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

31414222122444 is a wasteful number, since it uses less digits than its factorization.

31414222122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145122659 (or 145122654 counting only the distinct ones).

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

Adding to 31414222122444 its reverse (44422122241413), we get a palindrome (75836344363857).

The spelling of 31414222122444 in words is "thirty-one trillion, four hundred fourteen billion, two hundred twenty-two million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 859 1718 2577 3436 5154 6013 7731 10308 12026 15462 18039 24052 30924 36078 54117 72156 108234 216468 145121783 290243566 435365349 580487132 870730698 1015852481 1306096047 1741461396 2031704962 2612192094 3047557443 4063409924 5224384188 6095114886 9142672329 12190229772 18285344658 36570689316 124659611597 249319223194 373978834791 498638446388 747957669582 872617281179 1121936504373 1495915339164 1745234562358 2243873008746 2617851843537 3490469124716 4487746017492 5235703687074 7853555530611 10471407374148 15707111061222 31414222122444