Search a number
-
+
42434331033132 = 223317231409713191
BaseRepresentation
bin10011010011000000000110…
…01110100011111000101100
312120020200102111020102012000
421221200003032203320230
521030221002221030012
6230130021302412300
711636531165315313
oct1151400316437054
9176220374212160
1042434331033132
1112580331675605
124914083731090
131a8a703bc8a4c
14a69b9285b27a
154d8c33580ddc
hex2698033a3e2c

42434331033132 has 192 divisors, whose sum is σ = 121637463091200. Its totient is φ = 12724861501440.

The previous prime is 42434331033097. The next prime is 42434331033151. The reversal of 42434331033132 is 23133013343424.

42434331033132 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 4 + 3 + 310 + 331 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59142657 + ... + 59855847.

It is an arithmetic number, because the mean of its divisors is an integer number (633528453600).

Almost surely, 242434331033132 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 42434331033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60818731545600).

42434331033132 is an abundant number, since it is smaller than the sum of its proper divisors (79203132058068).

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

42434331033132 is a wasteful number, since it uses less digits than its factorization.

42434331033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714653 (or 714645 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 42434331033132 its reverse (23133013343424), we get a palindrome (65567344376556).

The spelling of 42434331033132 in words is "forty-two trillion, four hundred thirty-four billion, three hundred thirty-one million, thirty-three thousand, one hundred thirty-two".