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31034525445 = 32571141218453
BaseRepresentation
bin11100111001110011…
…010100011100000101
32222002211221020111100
4130321303110130011
51002024314303240
622131305330313
72146031054010
oct347163243405
988084836440
1031034525445
11121861a9340
126021496999
132c07800031
1417059c2377
15c19879e30
hex739cd4705

31034525445 has 96 divisors (see below), whose sum is σ = 68702909184. Its totient is φ = 12582835200.

The previous prime is 31034525441. The next prime is 31034525447. The reversal of 31034525445 is 54452543013.

31034525445 is a `hidden beast` number, since 3 + 103 + 4 + 5 + 2 + 544 + 5 = 666.

It is not a de Polignac number, because 31034525445 - 22 = 31034525441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31034525441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32839 + ... + 251291.

It is an arithmetic number, because the mean of its divisors is an integer number (715655304).

Almost surely, 231034525445 is an apocalyptic number.

31034525445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31034525445 is an abundant number, since it is smaller than the sum of its proper divisors (37668383739).

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

31034525445 is a wasteful number, since it uses less digits than its factorization.

31034525445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218523 (or 218520 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

It can be divided in two parts, 310345 and 25445, that added together give a triangular number (335790 = T819).

The spelling of 31034525445 in words is "thirty-one billion, thirty-four million, five hundred twenty-five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 41 45 55 63 77 99 105 123 165 205 231 287 315 369 385 451 495 615 693 861 1155 1353 1435 1845 2255 2583 3157 3465 4059 4305 6765 9471 12915 15785 20295 28413 47355 142065 218453 655359 1092265 1529171 1966077 2402983 3276795 4587513 7208949 7645855 8956573 9830385 12014915 13762539 16820881 21626847 22937565 26869719 36044745 44782865 50462643 62696011 68812695 80609157 84104405 98522303 108134235 134348595 151387929 188088033 252313215 295566909 313480055 403045785 492611515 564264099 689656121 756939645 886700727 940440165 1477834545 2068968363 2821320495 3448280605 4433503635 6206905089 10344841815 31034525445