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141480612 = 2232713192273
BaseRepresentation
bin10000110111011…
…01001010100100
3100212012221220200
420123231022210
5242204334422
622012230500
73335364630
oct1033551244
9325187820
10141480612
1172953529
123b46b430
1323408250
1414b0bdc0
15c64a2ac
hex86ed2a4

141480612 has 144 divisors (see below), whose sum is σ = 463532160. Its totient is φ = 35334144.

The previous prime is 141480607. The next prime is 141480649. The reversal of 141480612 is 216084141.

It is a happy number.

141480612 is a `hidden beast` number, since 1 + 4 + 1 + 48 + 0 + 612 = 666.

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, 61108 + ... + 63380.

Almost surely, 2141480612 is an apocalyptic number.

141480612 is a gapful number since it is divisible by the number (12) 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 141480612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231766080).

141480612 is an abundant number, since it is smaller than the sum of its proper divisors (322051548).

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

141480612 is a wasteful number, since it uses less digits than its factorization.

141480612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 141480612 is about 11894.5622870285. The cubic root of 141480612 is about 521.0734874967.

The spelling of 141480612 in words is "one hundred forty-one million, four hundred eighty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 399 468 494 532 546 684 741 798 819 988 1092 1197 1482 1596 1638 1729 2223 2273 2394 2964 3276 3458 4446 4546 4788 5187 6819 6916 8892 9092 10374 13638 15561 15911 20457 20748 27276 29549 31122 31822 40914 43187 47733 59098 62244 63644 81828 86374 88647 95466 118196 129561 143199 172748 177294 190932 206843 259122 265941 286398 302309 354588 388683 413686 518244 531882 561431 572796 604618 620529 777366 827372 906927 1063764 1122862 1209236 1241058 1554732 1684293 1813854 1861587 2245724 2482116 2720781 3368586 3627708 3723174 3930017 5052879 5441562 6737172 7446348 7860034 10105758 10883124 11790051 15720068 20211516 23580102 35370153 47160204 70740306 141480612