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142324023443364 = 223371011863953369
BaseRepresentation
bin100000010111000101100100…
…110111000011111110100100
3200122221001011220100210021000
4200113011210313003332210
5122123314100000141424
61222410430450553300
741656366656440130
oct4027054467037644
9618831156323230
10142324023443364
1141392308943954
1213b67423598830
136155136bba4c9
14272073b69c3c0
15116c293c4a3c9
hex817164dc3fa4

142324023443364 has 96 divisors (see below), whose sum is σ = 425876065977600. Its totient is φ = 40261392748800.

The previous prime is 142324023443339. The next prime is 142324023443377. The reversal of 142324023443364 is 463344320423241.

142324023443364 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 240 + 2 + 3 + 4 + 43 + 364 = 666.

It is a super-2 number, since 2×1423240234433642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931900329 + ... + 932053040.

It is an arithmetic number, because the mean of its divisors is an integer number (4436209020600).

Almost surely, 2142324023443364 is an apocalyptic number.

142324023443364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142324023443364 is an abundant number, since it is smaller than the sum of its proper divisors (283552042534236).

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

142324023443364 is a wasteful number, since it uses less digits than its factorization.

142324023443364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863953490 (or 1863953482 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 45.

The spelling of 142324023443364 in words is "one hundred forty-two trillion, three hundred twenty-four billion, twenty-three million, four hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 606 707 756 909 1212 1414 1818 2121 2727 2828 3636 4242 5454 6363 8484 10908 12726 19089 25452 38178 76356 1863953369 3727906738 5591860107 7455813476 11183720214 13047673583 16775580321 22367440428 26095347166 33551160642 39143020749 50326740963 52190694332 67102321284 78286041498 100653481926 117429062247 156572082996 188259290269 201306963852 234858124494 352287186741 376518580538 469716248988 564777870807 704574373482 753037161076 1129555741614 1317815031883 1409148746964 1694333612421 2259111483228 2635630063766 3388667224842 3953445095649 5083000837263 5271260127532 6777334449684 7906890191298 10166001674526 11860335286947 15813780382596 20332003349052 23720670573894 35581005860841 47441341147788 71162011721682 142324023443364