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141225792 = 263977583
BaseRepresentation
bin10000110101011…
…10111101000000
3100211202000100220
420122232331000
5242123211132
622002543040
73333254001
oct1032567500
9324660326
10141225792
117279a034
123b367a80
1323349276
1414a831a8
15c5e9a2c
hex86aef40

141225792 has 56 divisors (see below), whose sum is σ = 377561856. Its totient is φ = 46583808.

The previous prime is 141225787. The next prime is 141225829. The reversal of 141225792 is 297522141.

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 7 ways as a sum of consecutive naturals, for example, 14833 + ... + 22415.

It is an arithmetic number, because the mean of its divisors is an integer number (6742176).

Almost surely, 2141225792 is an apocalyptic number.

141225792 is a gapful number since it is divisible by the number (12) 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 141225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188780928).

141225792 is an abundant number, since it is smaller than the sum of its proper divisors (236336064).

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

141225792 is an equidigital number, since it uses as much as digits as its factorization.

141225792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7685 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 141225792 is about 11883.8458421506. The cubic root of 141225792 is about 520.7604652376.

The spelling of 141225792 in words is "one hundred forty-one million, two hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 7583 9312 15166 18624 22749 30332 45498 60664 90996 121328 181992 242656 363984 485312 727968 735551 1455936 1471102 2206653 2942204 4413306 5884408 8826612 11768816 17653224 23537632 35306448 47075264 70612896 141225792