Search a number
-
+
141981784968 = 23317438092897
BaseRepresentation
bin1000010000111011000…
…1100001101110001000
3111120110221202222122110
42010032301201232020
54311234314104333
6145120414222320
713154304155022
oct2041661415610
9446427688573
10141981784968
115523a01a561
12236254b49a0
131050932c51a
146c2c905012
153a5ebd7063
hex210ec61b88

141981784968 has 64 divisors (see below), whose sum is σ = 384574512960. Its totient is φ = 43507408896.

The previous prime is 141981784939. The next prime is 141981784969. The reversal of 141981784968 is 869487189141.

It is a super-2 number, since 2×1419817849682 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141981784899 and 141981784908.

It is not an unprimeable number, because it can be changed into a prime (141981784969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4028905 + ... + 4063992.

It is an arithmetic number, because the mean of its divisors is an integer number (6008976765).

Almost surely, 2141981784968 is an apocalyptic number.

It is an amenable number.

141981784968 is an abundant number, since it is smaller than the sum of its proper divisors (242592727992).

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

141981784968 is a wasteful number, since it uses less digits than its factorization.

141981784968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092966 (or 8092962 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 66.

The spelling of 141981784968 in words is "one hundred forty-one billion, nine hundred eighty-one million, seven hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 344 408 516 731 1032 1462 2193 2924 4386 5848 8772 17544 8092897 16185794 24278691 32371588 48557382 64743176 97114764 137579249 194229528 275158498 347994571 412737747 550316996 695989142 825475494 1043983713 1100633992 1391978284 1650950988 2087967426 2783956568 3301901976 4175934852 5915907707 8351869704 11831815414 17747723121 23663630828 35495446242 47327261656 70990892484 141981784968