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141164046 = 235714091
BaseRepresentation
bin10000110100111…
…11111000001110
3100211121212200000
420122133320032
5242114222141
622001345130
73332605662
oct1032377016
9324555600
10141164046
1172757701
123b3381a6
132332712a
1414a688a2
15c5d65b6
hex869fe0e

141164046 has 48 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 46380600.

The previous prime is 141164029. The next prime is 141164059. The reversal of 141164046 is 640461141.

141164046 is a `hidden beast` number, since 1 + 4 + 11 + 640 + 4 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 32461 + ... + 36551.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2141164046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141164046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

141164046 is an abundant number, since it is smaller than the sum of its proper divisors (180565362).

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

141164046 is an equidigital number, since it uses as much as digits as its factorization.

141164046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141164046 is about 11881.2476617567. The cubic root of 141164046 is about 520.6845594544.

The spelling of 141164046 in words is "one hundred forty-one million, one hundred sixty-four thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 1278 1917 3834 4091 5751 8182 11502 12273 17253 24546 34506 36819 73638 110457 220914 290461 331371 580922 662742 871383 994113 1742766 1988226 2614149 5228298 7842447 15684894 23527341 47054682 70582023 141164046