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144230122322388 = 22324006392286733
BaseRepresentation
bin100000110010110100110001…
…001101001111100111010100
3200220200021011012200110011200
4200302310301031033213110
5122401031242303304023
61230430223053032500
742244165612541124
oct4062646115174724
9626607135613150
10144230122322388
1141a57718a85723
1214214920185730
136262ac434b3ab
142788abd0b8c84
1511a1b53158743
hex832d3134f9d4

144230122322388 has 18 divisors (see below), whose sum is σ = 364581698092794. Its totient is φ = 48076707440784.

The previous prime is 144230122322387. The next prime is 144230122322441. The reversal of 144230122322388 is 883223221032441.

144230122322388 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 30 + 1 + 2 + 232 + 2 + 388 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93454407821124 + 50775714501264 = 9667182^2 + 7125708^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144230122322383) 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 5 ways as a sum of consecutive naturals, for example, 2003196143331 + ... + 2003196143402.

It is an arithmetic number, because the mean of its divisors is an integer number (20254538782933).

Almost surely, 2144230122322388 is an apocalyptic number.

144230122322388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144230122322388 is an abundant number, since it is smaller than the sum of its proper divisors (220351575770406).

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

144230122322388 is a wasteful number, since it uses less digits than its factorization.

144230122322388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006392286743 (or 4006392286738 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 144230122322388 in words is "one hundred forty-four trillion, two hundred thirty billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4006392286733 8012784573466 12019176860199 16025569146932 24038353720398 36057530580597 48076707440796 72115061161194 144230122322388