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141298668 = 22357191093
BaseRepresentation
bin10000110110000…
…00101111101100
3100211212201100000
420123000233230
5242133024133
622004304300
73334006320
oct1033005754
9324781300
10141298668
1172839865
123b3a2090
13233734a4
1414aa1980
15c611413
hex86c0bec

141298668 has 144 divisors (see below), whose sum is σ = 446001920. Its totient is φ = 38211264.

The previous prime is 141298613. The next prime is 141298673. The reversal of 141298668 is 866892141.

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 47 ways as a sum of consecutive naturals, for example, 128730 + ... + 129822.

Almost surely, 2141298668 is an apocalyptic number.

141298668 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 141298668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223000960).

141298668 is an abundant number, since it is smaller than the sum of its proper divisors (304703252).

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

141298668 is a wasteful number, since it uses less digits than its factorization.

141298668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1124 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 141298668 is about 11886.9116258177. The cubic root of 141298668 is about 520.8500249257.

The spelling of 141298668 in words is "one hundred forty-one million, two hundred ninety-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 243 252 266 324 342 378 399 486 513 532 567 684 756 798 972 1026 1093 1134 1197 1539 1596 1701 2052 2186 2268 2394 3078 3279 3402 3591 4372 4617 4788 6156 6558 6804 7182 7651 9234 9837 10773 13116 14364 15302 18468 19674 20767 21546 22953 29511 30604 32319 39348 41534 43092 45906 59022 62301 64638 68859 83068 88533 91812 118044 124602 129276 137718 145369 177066 186903 206577 249204 265599 275436 290738 354132 373806 413154 436107 531198 560709 581476 619731 747612 826308 872214 1062396 1121418 1239462 1308321 1682127 1744428 1859193 2242836 2478924 2616642 3364254 3718386 3924963 5046381 5233284 6728508 7436772 7849926 10092762 11774889 15699852 20185524 23549778 35324667 47099556 70649334 141298668