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142116004672 = 2679234112007
BaseRepresentation
bin1000010001011011000…
…1100010001101000000
3111120211022100001110121
42010112301202031000
54312023144122142
6145142011110024
713160524052065
oct2042661421500
9446738301417
10142116004672
11552a8863834
1223662442314
131052b094875
146c42682c6c
153a6b89ac67
hex2116c62340

142116004672 has 56 divisors (see below), whose sum is σ = 285726997760. Its totient is φ = 70122723840.

The previous prime is 142116004651. The next prime is 142116004687. The reversal of 142116004672 is 276400611241.

It is a congruent number.

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, 11830093 + ... + 11842099.

Almost surely, 2142116004672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142116004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142863498880).

142116004672 is an abundant number, since it is smaller than the sum of its proper divisors (143610993088).

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

142116004672 is a wasteful number, since it uses less digits than its factorization.

142116004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14439 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 142116004672 in words is "one hundred forty-two billion, one hundred sixteen million, four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2341 2528 4682 5056 9364 12007 18728 24014 37456 48028 74912 96056 149824 184939 192112 369878 384224 739756 768448 948553 1479512 1897106 2959024 3794212 5918048 7588424 11836096 15176848 28108387 30353696 56216774 60707392 112433548 224867096 449734192 899468384 1798936768 2220562573 4441125146 8882250292 17764500584 35529001168 71058002336 142116004672