Search a number
-
+
141187968 = 273340853
BaseRepresentation
bin10000110101001…
…01101110000000
3100211200002111000
420122211232000
5242121003333
622002052000
73333035505
oct1032455600
9324602430
10141187968
1172773679
123b34a000
1323334c9c
1414a734ac
15c5dd713
hex86a5b80

141187968 has 64 divisors (see below), whose sum is σ = 416710800. Its totient is φ = 47061504.

The previous prime is 141187951. The next prime is 141187987. The reversal of 141187968 is 869781141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 16971 + ... + 23882.

Almost surely, 2141187968 is an apocalyptic number.

141187968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141187968 is an abundant number, since it is smaller than the sum of its proper divisors (275522832).

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

141187968 is an equidigital number, since it uses as much as digits as its factorization.

141187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40876 (or 40858 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 141187968 is about 11882.2543315652. The cubic root of 141187968 is about 520.7139699473.

The spelling of 141187968 in words is "one hundred forty-one million, one hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 40853 81706 122559 163412 245118 326824 367677 490236 653648 735354 980472 1103031 1307296 1470708 1960944 2206062 2614592 2941416 3921888 4412124 5229184 5882832 7843776 8824248 11765664 15687552 17648496 23531328 35296992 47062656 70593984 141187968