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31142444445 = 3257197949957
BaseRepresentation
bin11101000000001110…
…111111110110011101
32222101101000002112100
4131000032333312131
51002234431210240
622150122355313
72151511260450
oct350016776635
988341002470
1031142444445
11122311094a2
12605165bb39
132c23c87128
141716075497
15c24095e30
hex7403bfd9d

31142444445 has 48 divisors (see below), whose sum is σ = 61724108160. Its totient is φ = 14229067392.

The previous prime is 31142444413. The next prime is 31142444467. The reversal of 31142444445 is 54444424113.

31142444445 is a `hidden beast` number, since 31 + 142 + 4 + 44 + 445 = 666.

It is not a de Polignac number, because 31142444445 - 25 = 31142444413 is a prime.

It is a super-2 number, since 2×311424444452 (a number of 22 digits) contains 22 as substring.

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, 598407 + ... + 648363.

It is an arithmetic number, because the mean of its divisors is an integer number (1285918920).

Almost surely, 231142444445 is an apocalyptic number.

31142444445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31142444445 is a deficient number, since it is larger than the sum of its proper divisors (30581663715).

31142444445 is a wasteful number, since it uses less digits than its factorization.

31142444445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51954 (or 51951 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 31142444445 its reverse (54444424113), we get a palindrome (85586868558).

The spelling of 31142444445 in words is "thirty-one billion, one hundred forty-two million, four hundred forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1979 5937 9895 13853 17811 29685 41559 49957 69265 89055 124677 149871 207795 249785 349699 449613 623385 749355 1049097 1748495 2248065 3147291 5245485 15736455 98864903 296594709 494324515 692054321 889784127 1482973545 2076162963 3460271605 4448920635 6228488889 10380814815 31142444445