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141399312 = 24347233269
BaseRepresentation
bin10000110110110…
…01010100010000
3100212001211101120
420123121110100
5242144234222
622010402240
73334605615
oct1033312420
9325054346
10141399312
11728a843a
123b430380
13233aa242
1414aca50c
15c63115c
hex86d9510

141399312 has 80 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 45761536.

The previous prime is 141399289. The next prime is 141399317. The reversal of 141399312 is 213993141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (141399317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525514 + ... + 525782.

It is an arithmetic number, because the mean of its divisors is an integer number (4700592).

Almost surely, 2141399312 is an apocalyptic number.

141399312 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 141399312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

141399312 is an abundant number, since it is smaller than the sum of its proper divisors (234648048).

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

141399312 is a wasteful number, since it uses less digits than its factorization.

141399312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 141399312 is about 11891.1442678995. The cubic root of 141399312 is about 520.9736589971.

The spelling of 141399312 in words is "one hundred forty-one million, three hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 233 269 282 376 466 538 564 699 752 807 932 1076 1128 1398 1614 1864 2152 2256 2796 3228 3728 4304 5592 6456 10951 11184 12643 12912 21902 25286 32853 37929 43804 50572 62677 65706 75858 87608 101144 125354 131412 151716 175216 188031 202288 250708 262824 303432 376062 501416 525648 606864 752124 1002832 1504248 2945819 3008496 5891638 8837457 11783276 17674914 23566552 35349828 47133104 70699656 141399312