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142181023986 = 232372294332153
BaseRepresentation
bin1000010001101010100…
…1100100000011110010
3111120222211200101012100
42010122221210003302
54312141320231421
6145152252441230
713162243522551
oct2043251440362
9446884611170
10142181023986
1155331532801
1223680179216
131053b6ab331
146c4b169d98
153a72440c26
hex211aa640f2

142181023986 has 96 divisors (see below), whose sum is σ = 318648198960. Its totient is φ = 45784092672.

The previous prime is 142181023969. The next prime is 142181024003. The reversal of 142181023986 is 689320181241.

142181023986 is a `hidden beast` number, since 142 + 18 + 102 + 398 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (142181023969) and next prime (142181024003).

It can be written as a sum of positive squares in 8 ways, for example, as 72600608025 + 69580415961 = 269445^2 + 263781^2 .

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, 66037486 + ... + 66039638.

Almost surely, 2142181023986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142181023986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159324099480).

142181023986 is an abundant number, since it is smaller than the sum of its proper divisors (176467174974).

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

142181023986 is a wasteful number, since it uses less digits than its factorization.

142181023986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 142181023986 in words is "one hundred forty-two billion, one hundred eighty-one million, twenty-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 229 333 433 458 666 687 866 1299 1374 2061 2153 2598 3897 4122 4306 6459 7794 8473 12918 16021 16946 19377 25419 32042 38754 48063 50838 76257 79661 96126 99157 144189 152514 159322 198314 238983 288378 297471 477966 493037 594942 716949 892413 932249 986074 1433898 1479111 1784826 1864498 2796747 2958222 3668809 4437333 5593494 7337618 8390241 8874666 11006427 16780482 18242369 22012854 33019281 34493213 36484738 54727107 66038562 68986426 103479639 109454214 164181321 206959278 213485021 310438917 328362642 426970042 620877834 640455063 1280910126 1921365189 3842730378 7898945777 15797891554 23696837331 47393674662 71090511993 142181023986