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31031431140 = 22355917774933
BaseRepresentation
bin11100111001100111…
…100000111111100100
32222002122010000220110
4130321213200333210
51002023021244030
622131115133020
72145662545503
oct347147407744
988078100813
1031031431140
1112184485566
126020444170
132c06c88798
14170541883a
15c194681b0
hex7399e0fe4

31031431140 has 96 divisors (see below), whose sum is σ = 88428332160. Its totient is φ = 8128567296.

The previous prime is 31031431103. The next prime is 31031431141. The reversal of 31031431140 is 4113413013.

It is not an unprimeable number, because it can be changed into a prime (31031431141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6288114 + ... + 6293046.

It is an arithmetic number, because the mean of its divisors is an integer number (921128460).

Almost surely, 231031431140 is an apocalyptic number.

31031431140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44214166080).

31031431140 is an abundant number, since it is smaller than the sum of its proper divisors (57396901020).

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

31031431140 is a wasteful number, since it uses less digits than its factorization.

31031431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31031431140 its reverse (4113413013), we get a palindrome (35144844153).

The spelling of 31031431140 in words is "thirty-one billion, thirty-one million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 1777 3540 3554 4933 5331 7108 8885 9866 10662 14799 17770 19732 21324 24665 26655 29598 35540 49330 53310 59196 73995 98660 104843 106620 147990 209686 291047 295980 314529 419372 524215 582094 629058 873141 1048430 1164188 1258116 1455235 1572645 1746282 2096860 2910470 3145290 3492564 4365705 5820940 6290580 8731410 8765941 17462820 17531882 26297823 35063764 43829705 52595646 87659410 105191292 131489115 175318820 262978230 517190519 525956460 1034381038 1551571557 2068762076 2585952595 3103143114 5171905190 6206286228 7757857785 10343810380 15515715570 31031431140