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31412144000 = 27531963259
BaseRepresentation
bin11101010000010011…
…110100011110000000
310000002011111020202202
4131100103310132000
51003313002102000
622232555132332
72161264550516
oct352023643600
9100064436682
1031412144000
111235a377796
126107a440a8
132c67b06273
14173dbdc4b6
15c3cabbdd5
hex7504f4780

31412144000 has 64 divisors (see below), whose sum is σ = 78098482800. Its totient is φ = 12564851200.

The previous prime is 31412143999. The next prime is 31412144033. The reversal of 31412144000 is 44121413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965630 + ... + 997629.

Almost surely, 231412144000 is an apocalyptic number.

It is an amenable number.

31412144000 is an abundant number, since it is smaller than the sum of its proper divisors (46686338800).

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

31412144000 is an equidigital number, since it uses as much as digits as its factorization.

31412144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963288 (or 1963266 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31412144000 its reverse (44121413), we get a palindrome (31456265413).

The spelling of 31412144000 in words is "thirty-one billion, four hundred twelve million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 1963259 3926518 7853036 9816295 15706072 19632590 31412144 39265180 49081475 62824288 78530360 98162950 125648576 157060720 196325900 245407375 251297152 314121440 392651800 490814750 628242880 785303600 981629500 1256485760 1570607200 1963259000 3141214400 3926518000 6282428800 7853036000 15706072000 31412144000