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31414534320 = 24351310068761
BaseRepresentation
bin11101010000011100…
…111100000010110000
310000002022222200200010
4131100130330002300
51003314110044240
622233122254520
72161324064421
oct352034740260
9100068880603
1031414534320
111236075a664
1261087b7440
132c68462260
141740261648
15c3cde0280
hex75073c0b0

31414534320 has 80 divisors (see below), whose sum is σ = 104876224992. Its totient is φ = 7732807680.

The previous prime is 31414534301. The next prime is 31414534321. The reversal of 31414534320 is 2343541413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31414534321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5031261 + ... + 5037500.

Almost surely, 231414534320 is an apocalyptic number.

31414534320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31414534320 is an abundant number, since it is smaller than the sum of its proper divisors (73461690672).

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

31414534320 is a wasteful number, since it uses less digits than its factorization.

31414534320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068790 (or 10068784 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 31414534320 in words is "thirty-one billion, four hundred fourteen million, five hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 10068761 20137522 30206283 40275044 50343805 60412566 80550088 100687610 120825132 130893893 151031415 161100176 201375220 241650264 261787786 302062830 392681679 402750440 483300528 523575572 604125660 654469465 785363358 805500880 1047151144 1208251320 1308938930 1570726716 1963408395 2094302288 2416502640 2617877860 3141453432 3926816790 5235755720 6282906864 7853633580 10471511440 15707267160 31414534320