Search a number
-
+
141512976 = 243211412179
BaseRepresentation
bin10000110111101…
…01000100010000
3100212021121022100
420123311010100
5242211403401
622013040400
73335561163
oct1033650420
9325247270
10141512976
1172975880
123b486100
1323419bb7
1414b19ada
15c654b86
hex86f5110

141512976 has 120 divisors (see below), whose sum is σ = 442784160. Its totient is φ = 41817600.

The previous prime is 141512963. The next prime is 141512977. The reversal of 141512976 is 679215141.

141512976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141512976.

It is not an unprimeable number, because it can be changed into a prime (141512977) 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 23 ways as a sum of consecutive naturals, for example, 63855 + ... + 66033.

It is an arithmetic number, because the mean of its divisors is an integer number (3689868).

Almost surely, 2141512976 is an apocalyptic number.

141512976 is a gapful number since it is divisible by the number (16) 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 141512976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221392080).

141512976 is an abundant number, since it is smaller than the sum of its proper divisors (301271184).

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

141512976 is a wasteful number, since it uses less digits than its factorization.

141512976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2236 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 141512976 is about 11895.9226628286. The cubic root of 141512976 is about 521.1132167015.

The spelling of 141512976 in words is "one hundred forty-one million, five hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 41 44 48 66 72 82 88 99 123 132 144 164 176 198 246 264 328 369 396 451 492 528 656 738 792 902 984 1353 1476 1584 1804 1968 2179 2706 2952 3608 4059 4358 5412 5904 6537 7216 8118 8716 10824 13074 16236 17432 19611 21648 23969 26148 32472 34864 39222 47938 52296 64944 71907 78444 89339 95876 104592 143814 156888 178678 191752 215721 268017 287628 313776 357356 383504 431442 536034 575256 714712 804051 862884 982729 1072068 1150512 1429424 1608102 1725768 1965458 2144136 2948187 3216204 3451536 3930916 4288272 5896374 6432408 7861832 8844561 11792748 12864816 15723664 17689122 23585496 35378244 47170992 70756488 141512976