Search a number
-
+
141258096 = 24327433259
BaseRepresentation
bin10000110101101…
…10110101110000
3100211210122200100
420122312311300
5242130224341
622003352400
73333450120
oct1032666560
9324718610
10141258096
1172811331
123b382700
132335ab95
1414a90c80
15c6043b6
hex86b6d70

141258096 has 120 divisors (see below), whose sum is σ = 462450560. Its totient is φ = 39408768.

The previous prime is 141258037. The next prime is 141258107. The reversal of 141258096 is 690852141.

141258096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141258096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41715 + ... + 44973.

Almost surely, 2141258096 is an apocalyptic number.

141258096 is a gapful number since it is divisible by the number (16) 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 141258096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231225280).

141258096 is an abundant number, since it is smaller than the sum of its proper divisors (321192464).

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

141258096 is a wasteful number, since it uses less digits than its factorization.

141258096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 141258096 is about 11885.2049204042. The cubic root of 141258096 is about 520.8001684752.

The spelling of 141258096 in words is "one hundred forty-one million, two hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1204 1548 1806 2064 2408 2709 3096 3259 3612 4816 5418 6192 6518 7224 9777 10836 13036 14448 19554 21672 22813 26072 29331 39108 43344 45626 52144 58662 68439 78216 91252 117324 136878 140137 156432 182504 205317 234648 273756 280274 365008 410634 420411 469296 547512 560548 821268 840822 980959 1095024 1121096 1261233 1642536 1681644 1961918 2242192 2522466 2942877 3285072 3363288 3923836 5044932 5885754 6726576 7847672 8828631 10089864 11771508 15695344 17657262 20179728 23543016 35314524 47086032 70629048 141258096