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2141165815152 = 2437132283133241
BaseRepresentation
bin11111001010000111011…
…011011000010101110000
321120200201112020021110020
4133022013123120111300
5240040101422041102
64315345450203440
7310460041064250
oct37120733302560
97520645207406
102141165815152
11756077312121
122a6b80123580
13126bac80bb00
14758c0c6d960
153aa6b235bbc
hex1f2876d8570

2141165815152 has 240 divisors, whose sum is σ = 6869454398208. Its totient is φ = 562703431680.

The previous prime is 2141165815133. The next prime is 2141165815153. The reversal of 2141165815152 is 2515185611412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141165815153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16003252 + ... + 16136492.

Almost surely, 22141165815152 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 2141165815152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434727199104).

2141165815152 is an abundant number, since it is smaller than the sum of its proper divisors (4728288583056).

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

2141165815152 is a wasteful number, since it uses less digits than its factorization.

2141165815152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133568 (or 133549 counting only the distinct ones).

The product of its digits is 96000, while the sum is 42.

The spelling of 2141165815152 in words is "two trillion, one hundred forty-one billion, one hundred sixty-five million, eight hundred fifteen thousand, one hundred fifty-two".