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31006450404 = 2234169756393
BaseRepresentation
bin11100111000001000…
…001110001011100100
32222000220002212210000
4130320020032023210
51002000122403104
622124423501300
72145240323406
oct347010161344
988026085700
1031006450404
1112171373126
126013bb7830
132c01a50297
141701d94b76
15c17181639
hex73820e2e4

31006450404 has 60 divisors (see below), whose sum is σ = 81106189164. Its totient is φ = 10329209856.

The previous prime is 31006450403. The next prime is 31006450411. The reversal of 31006450404 is 40405460013.

31006450404 is a `hidden beast` number, since 3 + 10 + 0 + 645 + 0 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22127157504 + 8879292900 = 148752^2 + 94230^2 .

It is a super-2 number, since 2×310064504042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31006450403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 521632 + ... + 578024.

Almost surely, 231006450404 is an apocalyptic number.

It is an amenable number.

31006450404 is an abundant number, since it is smaller than the sum of its proper divisors (50099738760).

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

31006450404 is a wasteful number, since it uses less digits than its factorization.

31006450404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58106 (or 58095 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 31006450404 in words is "thirty-one billion, six million, four hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1697 3394 5091 6788 10182 15273 20364 30546 45819 56393 61092 91638 112786 137457 169179 183276 225572 274914 338358 507537 549828 676716 1015074 1522611 2030148 3045222 4567833 6090444 9135666 18271332 95698921 191397842 287096763 382795684 574193526 861290289 1148387052 1722580578 2583870867 3445161156 5167741734 7751612601 10335483468 15503225202 31006450404