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141982106816 = 26111910614691
BaseRepresentation
bin1000010000111011001…
…0110000010011000000
3111120110222101100010202
42010032302300103000
54311234404404231
6145120425144332
713154306665244
oct2041662602300
9446428340122
10141982106816
115523a21a350
122362562b0a8
1310509412b74
146c2c98a424
153a5ec4c5cb
hex210ecb04c0

141982106816 has 56 divisors (see below), whose sum is σ = 323535812160. Its totient is φ = 61140614400.

The previous prime is 141982106807. The next prime is 141982106837. The reversal of 141982106816 is 618601289141.

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 7 ways as a sum of consecutive naturals, for example, 5293970 + ... + 5320721.

Almost surely, 2141982106816 is an apocalyptic number.

141982106816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141982106816 is an abundant number, since it is smaller than the sum of its proper divisors (181553705344).

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

141982106816 is a wasteful number, since it uses less digits than its factorization.

141982106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10614733 (or 10614723 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 141982106816 in words is "one hundred forty-one billion, nine hundred eighty-two million, one hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 13376 10614691 21229382 42458764 84917528 116761601 169835056 201679129 233523202 339670112 403358258 467046404 679340224 806716516 934092808 1613433032 1868185616 2218470419 3226866064 3736371232 4436940838 6453732128 7472742464 8873881676 12907464256 17747763352 35495526704 70991053408 141982106816