Search a number
-
+
42102867744 = 2533731224563
BaseRepresentation
bin100111001101100001…
…101100011100100000
311000200012222021202000
4213031201230130200
51142211313231434
631201454324000
73020230320360
oct471541543440
9130605867660
1042102867744
1116945a75773
1281b01b9600
133c7c9357c2
1420759a29a0
151166418b99
hex9cd86c720

42102867744 has 192 divisors, whose sum is σ = 144870727680. Its totient is φ = 11641294080.

The previous prime is 42102867739. The next prime is 42102867791. The reversal of 42102867744 is 44776820124.

It is a self number, because there is not a number n which added to its sum of digits gives 42102867744.

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, 75207 + ... + 299769.

It is an arithmetic number, because the mean of its divisors is an integer number (754535040).

Almost surely, 242102867744 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 42102867744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72435363840).

42102867744 is an abundant number, since it is smaller than the sum of its proper divisors (102767859936).

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

42102867744 is a wasteful number, since it uses less digits than its factorization.

42102867744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224620 (or 224606 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 42102867744 in words is "forty-two billion, one hundred two million, eight hundred sixty-seven thousand, seven hundred forty-four".