Search a number
-
+
31331034240 = 2735112364499
BaseRepresentation
bin11101001011011110…
…011010010010000000
32222212111212110002120
4131023132122102000
51003131221043430
622220540444240
72156261253102
oct351336322200
988774773076
1031331034240
1112318608830
1260a4849680
132c54077a1c
141733127572
15c358e9610
hex74b79a480

31331034240 has 256 divisors, whose sum is σ = 113685120000. Its totient is φ = 7265054720.

The previous prime is 31331034209. The next prime is 31331034253. The reversal of 31331034240 is 4243013313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31331034240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453511 + ... + 518009.

It is an arithmetic number, because the mean of its divisors is an integer number (444082500).

Almost surely, 231331034240 is an apocalyptic number.

31331034240 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 31331034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56842560000).

31331034240 is an abundant number, since it is smaller than the sum of its proper divisors (82354085760).

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

31331034240 is a wasteful number, since it uses less digits than its factorization.

31331034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64555 (or 64543 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31331034240 its reverse (4243013313), we get a palindrome (35574047553).

The spelling of 31331034240 in words is "thirty-one billion, three hundred thirty-one million, thirty-four thousand, two hundred forty".