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142422065100504 = 233272369171192753
BaseRepresentation
bin100000011000100000111000…
…100110010011011011011000
3200200021102020121001000010200
4200120200320212103123120
5122131420342131204004
61222523443215542200
741666440353663210
oct4030407046233330
9620242217030120
10142422065100504
114141a9498a4a82
1213b8242552a960
13616145ca79797
14272539c5c9240
15116ead10a0239
hex8188389936d8

142422065100504 has 96 divisors (see below), whose sum is σ = 440832431788320. Its totient is φ = 40691812727808.

The previous prime is 142422065100499. The next prime is 142422065100517. The reversal of 142422065100504 is 405001560224241.

142422065100504 is a `hidden beast` number, since 1 + 4 + 2 + 42 + 2 + 0 + 6 + 5 + 100 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118809792 + ... + 120002544.

It is an arithmetic number, because the mean of its divisors is an integer number (4592004497795).

Almost surely, 2142422065100504 is an apocalyptic number.

142422065100504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142422065100504 is an abundant number, since it is smaller than the sum of its proper divisors (298410366687816).

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

142422065100504 is a wasteful number, since it uses less digits than its factorization.

142422065100504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429689 (or 1429682 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 142422065100504 in words is "one hundred forty-two trillion, four hundred twenty-two billion, sixty-five million, one hundred thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 236917 473834 710751 947668 1192753 1421502 1658419 1895336 2132253 2385506 2843004 3316838 3578259 4264506 4771012 4975257 5686008 6633676 7156518 8349271 8529012 9542024 9950514 10734777 13267352 14313036 14925771 16698542 17058024 19901028 21469554 25047813 28626072 29851542 33397084 39802056 42939108 50095626 59703084 66794168 75143439 85878216 100191252 119406168 150286878 200382504 300573756 601147512 282583462501 565166925002 847750387503 1130333850004 1695500775006 1978084237507 2260667700008 2543251162509 3391001550012 3956168475014 5086502325018 5934252712521 6782003100024 7912336950028 10173004650036 11868505425042 15824673900056 17802758137563 20346009300072 23737010850084 35605516275126 47474021700168 71211032550252 142422065100504