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142323531101361 = 373167313100103
BaseRepresentation
bin100000010111000101000111…
…100000111011010010110001
3200122220222220120221020000000
4200113011013200323102301
5122123312042430220421
61222410305542220213
741656351530546531
oct4027050740732261
9618828816836000
10142323531101361
1141392085a38035
1213b67306724669
136155088bb6c8c
1427206d213b4c1
15116c2658e6226
hex81714783b4b1

142323531101361 has 128 divisors (see below), whose sum is σ = 224343667015680. Its totient is φ = 90161278796160.

The previous prime is 142323531101357. The next prime is 142323531101363. The reversal of 142323531101361 is 163101135323241.

142323531101361 is a `hidden beast` number, since 1 + 4 + 2 + 323 + 5 + 311 + 0 + 13 + 6 + 1 = 666.

It is not a de Polignac number, because 142323531101361 - 22 = 142323531101357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142323531101363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1421720836 + ... + 1421820938.

It is an arithmetic number, because the mean of its divisors is an integer number (1752684898560).

Almost surely, 2142323531101361 is an apocalyptic number.

It is an amenable number.

142323531101361 is a deficient number, since it is larger than the sum of its proper divisors (82020135914319).

142323531101361 is an equidigital number, since it uses as much as digits as its factorization.

142323531101361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100535 (or 100517 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 142323531101361 in words is "one hundred forty-two trillion, three hundred twenty-three billion, five hundred thirty-one million, one hundred one thousand, three hundred sixty-one".

Divisors: 1 3 9 27 31 67 81 93 201 243 279 313 603 729 837 939 1809 2077 2187 2511 2817 5427 6231 7533 8451 9703 16281 18693 20971 22599 25353 29109 48843 56079 62913 67797 76059 87327 100103 146529 168237 188739 228177 261981 300309 504711 566217 650101 684531 785943 900927 1514133 1698651 1950303 2357829 2702781 3103193 4542399 5095953 5850909 6706901 7073487 8108343 9309579 15287859 17552727 20120703 21220461 24325029 27928737 31332239 45863577 52658181 60362109 72975087 83786211 93996717 157974543 181086327 207913931 218925261 251358633 281990151 473923629 543258981 623741793 754075899 845970453 971299409 1421770887 1629776943 1871225379 2099260013 2262227697 2537911359 2913898227 4889330829 5613676137 6297780039 6786683091 7613734077 8741694681 14667992487 16841028411 18893340117 22841202231 26225084043 50523085233 56680020351 65077060403 68523606693 78675252129 151569255699 170040061053 195231181209 236025756387 454707767097 510120183159 585693543627 708077269161 1530360549477 1757080630881 2124231807483 4591081648431 5271241892643 15813725677929 47441177033787 142323531101361