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142000154982 = 232719916133511
BaseRepresentation
bin1000010000111111011…
…1100110100101100110
3111120112020100021120100
42010033313212211212
54311304014424412
6145122312044530
713154616254640
oct2041767464546
9446466307510
10142000154982
1155249427194
122362b693746
1310510091a5a
146c31127890
153a61614edc
hex210fde6966

142000154982 has 96 divisors (see below), whose sum is σ = 353706163200. Its totient is φ = 40331079360.

The previous prime is 142000154969. The next prime is 142000155061. The reversal of 142000154982 is 289451000241.

142000154982 is a `hidden beast` number, since 1 + 420 + 0 + 0 + 154 + 9 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40442607 + ... + 40446117.

It is an arithmetic number, because the mean of its divisors is an integer number (3684439200).

Almost surely, 2142000154982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142000154982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176853081600).

142000154982 is an abundant number, since it is smaller than the sum of its proper divisors (211706008218).

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

142000154982 is a wasteful number, since it uses less digits than its factorization.

142000154982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 142000154982 in words is "one hundred forty-two billion, one hundred fifty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 199 398 597 1194 1393 1613 1791 2786 3226 3511 3582 4179 4839 7022 8358 9678 10533 11291 12537 14517 21066 22582 24577 25074 29034 31599 33873 49154 63198 67746 73731 101619 147462 203238 221193 320987 442386 641974 698689 962961 1397378 1925922 2096067 2246909 2888883 4192134 4493818 4890823 5663243 5777766 6288201 6740727 9781646 11326486 12576402 13481454 14672469 16989729 20222181 29344938 33979458 39642701 40444362 44017407 50969187 79285402 88034814 101938374 118928103 237856206 356784309 713568618 1126985357 2253970714 3380956071 6761912142 7888897499 10142868213 15777794998 20285736426 23666692497 47333384994 71000077491 142000154982