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141991080 = 23357113127
BaseRepresentation
bin10000111011010…
…01110010101000
3100220011220010220
420131221302220
5242322203310
622031210040
73342622110
oct1035516250
9326156126
10141991080
1173172000
123b676920
13235566ba
1414c02040
15c6eb670
hex8769ca8

141991080 has 256 divisors, whose sum is σ = 539688960. Its totient is φ = 29272320.

The previous prime is 141991079. The next prime is 141991127. The reversal of 141991080 is 80199141.

It is a super-2 number, since 2×1419910802 = 40322933599132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117977 + ... + 1118103.

It is an arithmetic number, because the mean of its divisors is an integer number (2108160).

Almost surely, 2141991080 is an apocalyptic number.

141991080 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 141991080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269844480).

141991080 is an abundant number, since it is smaller than the sum of its proper divisors (397697880).

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

141991080 is a wasteful number, since it uses less digits than its factorization.

141991080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 141991080 is about 11916.0010070493. The cubic root of 141991080 is about 521.6994203231.

The spelling of 141991080 in words is "one hundred forty-one million, nine hundred ninety-one thousand, eighty".