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142241640230052 = 2232112232278770687
BaseRepresentation
bin100000010101111000110110…
…011100000010110010100100
3200122122011112110210221012100
4200111320312130002302210
5122120441334344330202
61222304524000452100
741650422305615556
oct4025706634026244
9618564473727170
10142241640230052
11413603827503a0
1213b5347161a030
13614a4380c66cc
14271a7641d34d6
15116a07141e41c
hex815e36702ca4

142241640230052 has 144 divisors (see below), whose sum is σ = 394023896727552. Its totient is φ = 42907747861440.

The previous prime is 142241640230023. The next prime is 142241640230057. The reversal of 142241640230052 is 250032046142241.

142241640230052 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 4 + 1 + 640 + 2 + 3 + 0 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142241640229989 and 142241640230016.

It is not an unprimeable number, because it can be changed into a prime (142241640230057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2012239053 + ... + 2012309739.

It is an arithmetic number, because the mean of its divisors is an integer number (2736277060608).

Almost surely, 2142241640230052 is an apocalyptic number.

142241640230052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142241640230052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197011948363776).

142241640230052 is an abundant number, since it is smaller than the sum of its proper divisors (251782256497500).

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

142241640230052 is a wasteful number, since it uses less digits than its factorization.

142241640230052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93718 (or 93713 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 142241640230052 its reverse (250032046142241), we get a palindrome (392273686372293).

The spelling of 142241640230052 in words is "one hundred forty-two trillion, two hundred forty-one billion, six hundred forty million, two hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 223 396 446 669 892 1338 2007 2453 2676 4014 4906 7359 8028 9812 14718 22077 22787 29436 44154 45574 68361 70687 88308 91148 136722 141374 205083 212061 250657 273444 282748 410166 424122 501314 636183 751971 777557 820332 848244 1002628 1272366 1503942 1555114 2255913 2332671 2544732 3007884 3110228 4511826 4665342 5081501 6998013 9023652 9330684 10163002 13996026 15244503 15763201 20326004 27992052 30489006 31526402 45733509 47289603 55896511 60978012 63052804 91467018 94579206 111793022 141868809 167689533 173395211 182934036 189158412 223586044 283737618 335379066 346790422 503068599 520185633 567475236 670758132 693580844 1006137198 1040371266 1560556899 1610744669 2012274396 2080742532 3121113798 3221489338 4832234007 6242227596 6442978676 9664468014 14496702021 17718191359 19328936028 28993404042 35436382718 53154574077 57986808084 70872765436 106309148154 159463722231 212618296308 318927444462 359196061187 637854888924 718392122374 1077588183561 1436784244748 2155176367122 3232764550683 3951156673057 4310352734244 6465529101366 7902313346114 11853470019171 12931058202732 15804626692228 23706940038342 35560410057513 47413880076684 71120820115026 142241640230052