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31403676240 = 2433514538739
BaseRepresentation
bin11101001111110011…
…100001001001010000
310000001120120001012000
4131033303201021100
51003303320114430
622232053434000
72161132562256
oct351763411120
9100046501160
1031403676240
1112355613842
12610503b900
132c6612cc61
14173ca365d6
15c3be97e60
hex74fce1250

31403676240 has 80 divisors (see below), whose sum is σ = 108168225600. Its totient is φ = 8374313088.

The previous prime is 31403676233. The next prime is 31403676247. The reversal of 31403676240 is 4267630413.

It is a happy number.

31403676240 is a `hidden beast` number, since 3 + 1 + 403 + 6 + 7 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (31403676233) and next prime (31403676247).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 31403676195 and 31403676204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31403676247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7267210 + ... + 7271529.

It is an arithmetic number, because the mean of its divisors is an integer number (1352102820).

Almost surely, 231403676240 is an apocalyptic number.

31403676240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31403676240 is an abundant number, since it is smaller than the sum of its proper divisors (76764549360).

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

31403676240 is a wasteful number, since it uses less digits than its factorization.

31403676240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14538761 (or 14538749 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 31403676240 in words is "thirty-one billion, four hundred three million, six hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 14538739 29077478 43616217 58154956 72693695 87232434 116309912 130848651 145387390 174464868 218081085 232619824 261697302 290774780 348929736 392545953 436162170 523394604 581549560 654243255 697859472 785091906 872324340 1046789208 1163099120 1308486510 1570183812 1744648680 1962729765 2093578416 2616973020 3140367624 3489297360 3925459530 5233946040 6280735248 7850919060 10467892080 15701838120 31403676240