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31431394848 = 253761766769
BaseRepresentation
bin11101010001011101…
…010000011000100000
310000010111201021222010
4131101131100120200
51003332414113343
622234523512520
72161620306450
oct352135203040
9100114637863
1031431394848
111236a226187
126112388740
132c6bab66b9
1417425add60
15c3e620d33
hex751750620

31431394848 has 96 divisors (see below), whose sum is σ = 95840115840. Its totient is φ = 8833167360.

The previous prime is 31431394847. The next prime is 31431394861. The reversal of 31431394848 is 84849313413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 31431394797 and 31431394806.

It is not an unprimeable number, because it can be changed into a prime (31431394847) 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, 342393 + ... + 424376.

It is an arithmetic number, because the mean of its divisors is an integer number (998334540).

Almost surely, 231431394848 is an apocalyptic number.

It is an amenable number.

31431394848 is an abundant number, since it is smaller than the sum of its proper divisors (64408720992).

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

31431394848 is a wasteful number, since it uses less digits than its factorization.

31431394848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766850 (or 766842 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 31431394848 in words is "thirty-one billion, four hundred thirty-one million, three hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 766769 1533538 2300307 3067076 4600614 5367383 6134152 9201228 10734766 12268304 16102149 18402456 21469532 24536608 32204298 36804912 42939064 46772909 64408596 73609824 85878128 93545818 128817192 140318727 171756256 187091636 257634384 280637454 327410363 374183272 515268768 561274908 654820726 748366544 982231089 1122549816 1309641452 1496733088 1964462178 2245099632 2619282904 3928924356 4490199264 5238565808 7857848712 10477131616 15715697424 31431394848