Search a number
-
+
6141505344156 = 22327136743963737
BaseRepresentation
bin101100101011110111000…
…1111101001001010011100
3210202010022001210211121200
41121113232033221022130
51301110300332003111
621021211341355500
71202465141044020
oct131275617511234
923663261724550
106141505344156
111a58663726976
12832321868b90
133571aba65680
14173371312380
15a9b4be0c256
hex595ee3e929c

6141505344156 has 288 divisors, whose sum is σ = 19436561464320. Its totient is φ = 1591902968832.

The previous prime is 6141505344101. The next prime is 6141505344157. The reversal of 6141505344156 is 6514435051416.

6141505344156 is a `hidden beast` number, since 6 + 1 + 4 + 150 + 5 + 3 + 441 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141505344157) 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, 96325120 + ... + 96388856.

It is an arithmetic number, because the mean of its divisors is an integer number (67488060640).

Almost surely, 26141505344156 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 6141505344156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718280732160).

6141505344156 is an abundant number, since it is smaller than the sum of its proper divisors (13295056120164).

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

6141505344156 is a wasteful number, since it uses less digits than its factorization.

6141505344156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64273 (or 64268 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 6141505344156 in words is "six trillion, one hundred forty-one billion, five hundred five million, three hundred forty-four thousand, one hundred fifty-six".