Search a number
-
+
31534230042 = 2357194173163
BaseRepresentation
bin11101010111100101…
…100010101000011010
310000101200012212100000
4131113211202220122
51004040230330132
622253035553430
72164306350510
oct352745425032
9100350185300
1031534230042
1112412283847
1261408bb876
132c871b0823
1417520dc4b0
15c4868587c
hex757962a1a

31534230042 has 384 divisors, whose sum is σ = 89056880640. Its totient is φ = 8162933760.

The previous prime is 31534230031. The next prime is 31534230043. The reversal of 31534230042 is 24003243513.

31534230042 is a `hidden beast` number, since 3 + 15 + 342 + 300 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31534229988 and 31534230015.

It is not an unprimeable number, because it can be changed into a prime (31534230043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193461453 + ... + 193461615.

It is an arithmetic number, because the mean of its divisors is an integer number (231918960).

Almost surely, 231534230042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31534230042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44528440320).

31534230042 is an abundant number, since it is smaller than the sum of its proper divisors (57522650598).

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

31534230042 is a wasteful number, since it uses less digits than its factorization.

31534230042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 31534230042 its reverse (24003243513), we get a palindrome (55537473555).

The spelling of 31534230042 in words is "thirty-one billion, five hundred thirty-four million, two hundred thirty thousand, forty-two".