Search a number
-
+
31531150144 = 261339795461
BaseRepresentation
bin11101010111011001…
…110010101101000000
310000101110102101111201
4131113121302231000
51004033433301034
622252445550544
72164241232304
oct352731625500
9100343371451
1031531150144
111241056a87a
12613b875454
132c866729c0
141751939d04
15c48278014
hex757672b40

31531150144 has 56 divisors (see below), whose sum is σ = 67553111528. Its totient is φ = 14516029440.

The previous prime is 31531150111. The next prime is 31531150153. The reversal of 31531150144 is 44105113513.

It can be written as a sum of positive squares in 4 ways, for example, as 4004358400 + 27526791744 = 63280^2 + 165912^2 .

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, 282574 + ... + 378034.

It is an arithmetic number, because the mean of its divisors is an integer number (1206305563).

Almost surely, 231531150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31531150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33776555764).

31531150144 is an abundant number, since it is smaller than the sum of its proper divisors (36021961384).

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

31531150144 is a wasteful number, since it uses less digits than its factorization.

31531150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95883 (or 95873 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 31531150144 its reverse (44105113513), we get a palindrome (75636263657).

The spelling of 31531150144 in words is "thirty-one billion, five hundred thirty-one million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 397 416 794 832 1588 3176 5161 6352 10322 12704 20644 25408 41288 82576 95461 165152 190922 330304 381844 763688 1240993 1527376 2481986 3054752 4963972 6109504 9927944 19855888 37898017 39711776 75796034 79423552 151592068 303184136 492674221 606368272 985348442 1212736544 1970696884 2425473088 3941393768 7882787536 15765575072 31531150144