Search a number
-
+
141132710880 = 25335716372851
BaseRepresentation
bin1000001101110000101…
…0100100001111100000
3111111021210002112222000
42003130022210033200
54303014433222010
6144500243444000
713124254151250
oct2033412441740
9444253075860
10141132710880
1154943810637
1223429086600
1310402456815
146b8bc43960
153a103b97c0
hex20dc2a43e0

141132710880 has 384 divisors, whose sum is σ = 565073832960. Its totient is φ = 32227891200.

The previous prime is 141132710879. The next prime is 141132710891. The reversal of 141132710880 is 88017231141.

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

It is a congruent number.

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, 49501455 + ... + 49504305.

It is an arithmetic number, because the mean of its divisors is an integer number (1471546440).

Almost surely, 2141132710880 is an apocalyptic number.

141132710880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141132710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282536916480).

141132710880 is an abundant number, since it is smaller than the sum of its proper divisors (423941122080).

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

141132710880 is a wasteful number, since it uses less digits than its factorization.

141132710880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 141132710880 in words is "one hundred forty-one billion, one hundred thirty-two million, seven hundred ten thousand, eight hundred eighty".