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144241120400322 = 23119580122812617
BaseRepresentation
bin100000110010111111000000…
…101111100101001111000010
3200220201022112200111200211110
4200302333000233211033002
5122401221303310302242
61230435242252024150
742245035266630231
oct4062770057451702
9626638480450743
10144241120400322
1141a61352120430
1214216a8b462056
136263b57a51c0a
142789443a08b18
1511a209896839c
hex832fc0be53c2

144241120400322 has 32 divisors (see below), whose sum is σ = 314711197867584. Its totient is φ = 43708972256000.

The previous prime is 144241120400207. The next prime is 144241120400329. The reversal of 144241120400322 is 223004021142441.

144241120400322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144241120400322.

It is not an unprimeable number, because it can be changed into a prime (144241120400329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5083443 + ... + 17729174.

It is an arithmetic number, because the mean of its divisors is an integer number (9834724933362).

Almost surely, 2144241120400322 is an apocalyptic number.

144241120400322 is an abundant number, since it is smaller than the sum of its proper divisors (170470077467262).

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

144241120400322 is a wasteful number, since it uses less digits than its factorization.

144241120400322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22908434.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144241120400322 its reverse (223004021142441), we get a palindrome (367245141542763).

The spelling of 144241120400322 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred twenty million, four hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 95801 191602 287403 574806 1053811 2107622 3161433 6322866 22812617 45625234 68437851 136875702 250938787 501877574 752816361 1505632722 2185471521217 4370943042434 6556414563651 13112829127302 24040186733387 48080373466774 72120560200161 144241120400322