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141282096 = 24367197223
BaseRepresentation
bin10000110101111…
…00101100110000
3100211211212121020
420122330230300
5242132011341
622004055440
73333610104
oct1032745460
9324755536
10141282096
117282836a
123b394580
1323368a97
1414a99904
15c60b566
hex86bcb30

141282096 has 80 divisors (see below), whose sum is σ = 373976064. Its totient is φ = 45948672.

The previous prime is 141282079. The next prime is 141282101. The reversal of 141282096 is 690282141.

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 15 ways as a sum of consecutive naturals, for example, 633441 + ... + 633663.

Almost surely, 2141282096 is an apocalyptic number.

141282096 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 141282096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186988032).

141282096 is an abundant number, since it is smaller than the sum of its proper divisors (232693968).

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

141282096 is a wasteful number, since it uses less digits than its factorization.

141282096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 141282096 is about 11886.2145361759. The cubic root of 141282096 is about 520.8296617611.

The spelling of 141282096 in words is "one hundred forty-one million, two hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 197 201 223 268 394 402 446 536 591 669 788 804 892 1072 1182 1338 1576 1608 1784 2364 2676 3152 3216 3568 4728 5352 9456 10704 13199 14941 26398 29882 39597 43931 44823 52796 59764 79194 87862 89646 105592 119528 131793 158388 175724 179292 211184 239056 263586 316776 351448 358584 527172 633552 702896 717168 1054344 2108688 2943377 5886754 8830131 11773508 17660262 23547016 35320524 47094032 70641048 141282096