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141669024 = 25371712401
BaseRepresentation
bin10000111000110…
…11001010100000
3100212120112100220
420130123022200
5242231402044
622020243040
73340111140
oct1034331240
9325515326
10141669024
1172a72042
123b540480
1323472c33
1414b5a920
15c686019
hex871b2a0

141669024 has 96 divisors (see below), whose sum is σ = 450043776. Its totient is φ = 38092800.

The previous prime is 141668999. The next prime is 141669037. The reversal of 141669024 is 420966141.

141669024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1416690242 = 40140224722225152, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5224 + ... + 17624.

It is an arithmetic number, because the mean of its divisors is an integer number (4687956).

Almost surely, 2141669024 is an apocalyptic number.

141669024 is a gapful number since it is divisible by the number (14) 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 141669024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225021888).

141669024 is an abundant number, since it is smaller than the sum of its proper divisors (308374752).

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

141669024 is a wasteful number, since it uses less digits than its factorization.

141669024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12438 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 141669024 is about 11902.4797416337. The cubic root of 141669024 is about 521.3046922007.

The spelling of 141669024 in words is "one hundred forty-one million, six hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 12401 24802 37203 49604 74406 86807 99208 148812 173614 198416 210817 260421 297624 347228 396832 421634 520842 595248 632451 694456 843268 1041684 1190496 1264902 1388912 1475719 1686536 2083368 2529804 2777824 2951438 3373072 4166736 4427157 5059608 5902876 6746144 8333472 8854314 10119216 11805752 17708628 20238432 23611504 35417256 47223008 70834512 141669024