Search a number
-
+
31255251354040 = 23571921793135519
BaseRepresentation
bin1110001101101001011100…
…01001111000000110111000
311002122222021012120110120111
413012310232021320012320
513044041223321312130
6150250244140034104
76404055160014130
oct706645611700670
9132588235513514
1031255251354040
119a6030662620a
123609588532934
13145948572034c
147a0a95815ac0
1539304a3b102a
hex1c6d2e2781b8

31255251354040 has 384 divisors, whose sum is σ = 85585206528000. Its totient is φ = 10061289179136.

The previous prime is 31255251353993. The next prime is 31255251354043. The reversal of 31255251354040 is 4045315255213.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 31255251353984 and 31255251354002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31255251354043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5663206401 + ... + 5663211919.

It is an arithmetic number, because the mean of its divisors is an integer number (222878142000).

Almost surely, 231255251354040 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 31255251354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42792603264000).

31255251354040 is an abundant number, since it is smaller than the sum of its proper divisors (54329955173960).

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

31255251354040 is a wasteful number, since it uses less digits than its factorization.

31255251354040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 31255251354040 in words is "thirty-one trillion, two hundred fifty-five billion, two hundred fifty-one million, three hundred fifty-four thousand, forty".