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142271002170 = 232511379379177
BaseRepresentation
bin1000010010000000000…
…0110011011000111010
3111121020002222202001200
42010200000303120322
54312332334032140
6145205225155030
713164415364613
oct2044000633072
9447202882050
10142271002170
11553782a9740
12236a632ba76
131055422336b
146c590acc0a
153a7a2b6030
hex212003363a

142271002170 has 96 divisors (see below), whose sum is σ = 404598093120. Its totient is φ = 34398846720.

The previous prime is 142271002169. The next prime is 142271002193. The reversal of 142271002170 is 71200172241.

It is a happy number.

142271002170 is a `hidden beast` number, since 1 + 422 + 71 + 0 + 0 + 2 + 170 = 666.

It is a super-2 number, since 2×1422710021702 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 185622 + ... + 564798.

It is an arithmetic number, because the mean of its divisors is an integer number (4214563470).

Almost surely, 2142271002170 is an apocalyptic number.

142271002170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142271002170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202299046560).

142271002170 is an abundant number, since it is smaller than the sum of its proper divisors (262327090950).

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

142271002170 is a wasteful number, since it uses less digits than its factorization.

142271002170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379580 (or 379577 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 142271002170 in words is "one hundred forty-two billion, two hundred seventy-one million, two thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 379 495 758 990 1137 1895 2274 3411 3790 4169 5685 6822 8338 11370 12507 17055 20845 25014 34110 37521 41690 62535 75042 125070 187605 375210 379177 758354 1137531 1895885 2275062 3412593 3791770 4170947 5687655 6825186 8341894 11375310 12512841 17062965 20854735 25025682 34125930 37538523 41709470 62564205 75077046 125128410 143708083 187692615 287416166 375385230 431124249 718540415 862248498 1293372747 1437080830 1580788913 2155621245 2586745494 3161577826 4311242490 4742366739 6466863735 7903944565 9484733478 12933727470 14227100217 15807889130 23711833695 28454200434 47423667390 71135501085 142271002170