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144032112202122 = 23210337774091517
BaseRepresentation
bin100000101111111100010110…
…111000100101000110001010
3200212222100001112201010111200
4200233330112320211012022
5122334310231210431442
61230155234445005030
742223656003355554
oct4057742670450612
9625870045633450
10144032112202122
1141990748479631
12141a247ab53776
13624a229372061
14277d2973ba4d4
15119b91474834c
hex82ff16e2518a

144032112202122 has 24 divisors (see below), whose sum is σ = 312099766410276. Its totient is φ = 48006059456256.

The previous prime is 144032112202073. The next prime is 144032112202157. The reversal of 144032112202122 is 221202211230441.

144032112202122 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 321 + 12 + 202 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 143527132838961 + 504979363161 = 11980281^2 + 710619^2 .

It is a super-2 number, since 2×1440321122021222 (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 11 ways as a sum of consecutive naturals, for example, 386859693 + ... + 387231824.

Almost surely, 2144032112202122 is an apocalyptic number.

144032112202122 is an abundant number, since it is smaller than the sum of its proper divisors (168067654208154).

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

144032112202122 is a wasteful number, since it uses less digits than its factorization.

144032112202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774101862 (or 774101859 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144032112202122 its reverse (221202211230441), we get a palindrome (365234323432563).

The spelling of 144032112202122 in words is "one hundred forty-four trillion, thirty-two billion, one hundred twelve million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 10337 20674 31011 62022 93033 186066 774091517 1548183034 2322274551 4644549102 6966823653 13933647306 8001784011229 16003568022458 24005352033687 48010704067374 72016056101061 144032112202122