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141249984 = 2632233299
BaseRepresentation
bin10000110101101…
…00110111000000
3100211210020112220
420122310313000
5242124444414
622003251040
73333414351
oct1032646700
9324706486
10141249984
1172806227
123b379a80
1323357295
1414a8bd28
15c601ca9
hex86b4dc0

141249984 has 56 divisors (see below), whose sum is σ = 375513600. Its totient is φ = 46857984.

The previous prime is 141249949. The next prime is 141250019. The reversal of 141249984 is 489942141.

It is a happy number.

141249984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141249949) and next prime (141250019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41167 + ... + 44465.

It is an arithmetic number, because the mean of its divisors is an integer number (6705600).

Almost surely, 2141249984 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 141249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187756800).

141249984 is an abundant number, since it is smaller than the sum of its proper divisors (234263616).

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

141249984 is a wasteful number, since it uses less digits than its factorization.

141249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3527 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 141249984 is about 11884.8636508796. The cubic root of 141249984 is about 520.7901989892.

The spelling of 141249984 in words is "one hundred forty-one million, two hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 669 892 1338 1784 2676 3299 3568 5352 6598 7136 9897 10704 13196 14272 19794 21408 26392 39588 42816 52784 79176 105568 158352 211136 316704 633408 735677 1471354 2207031 2942708 4414062 5885416 8828124 11770832 17656248 23541664 35312496 47083328 70624992 141249984