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141088068 = 223411311277
BaseRepresentation
bin10000110100011…
…01010101000100
3100211111000110000
420122031111010
5242104304233
622000001300
73332141322
oct1032152504
9324430400
10141088068
1172705610
123b300230
13232cb684
1414a48d12
15c5bdd13
hex868d544

141088068 has 120 divisors (see below), whose sum is σ = 415666944. Its totient is φ = 41342400.

The previous prime is 141088063. The next prime is 141088069. The reversal of 141088068 is 860880141.

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

It is not an unprimeable number, because it can be changed into a prime (141088063) 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 39 ways as a sum of consecutive naturals, for example, 109846 + ... + 111122.

Almost surely, 2141088068 is an apocalyptic number.

141088068 is a gapful number since it is divisible by the number (18) 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 141088068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207833472).

141088068 is an abundant number, since it is smaller than the sum of its proper divisors (274578876).

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

141088068 is a wasteful number, since it uses less digits than its factorization.

141088068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 141088068 is about 11878.0498399358. The cubic root of 141088068 is about 520.5911275639.

The spelling of 141088068 in words is "one hundred forty-one million, eighty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1116 1188 1277 1364 1674 1782 2046 2511 2554 3069 3348 3564 3831 4092 5022 5108 6138 7662 9207 10044 11493 12276 14047 15324 18414 22986 27621 28094 34479 36828 39587 42141 45972 55242 56188 68958 79174 84282 103437 110484 118761 126423 137916 158348 168564 206874 237522 252846 356283 379269 413748 435457 475044 505692 712566 758538 870914 1068849 1137807 1306371 1425132 1517076 1741828 2137698 2275614 2612742 3206547 3919113 4275396 4551228 5225484 6413094 7838226 11757339 12826188 15676452 23514678 35272017 47029356 70544034 141088068