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144102123342504 = 2334323273687901
BaseRepresentation
bin100000110000111101100011…
…110111111000101010101000
3200220020000202202000120010000
4200300331203313320222220
5122341432122033430004
61230251333534423000
742232014644264505
oct4060754367705250
9626200682016100
10144102123342504
1141a0840498a628
12141b3b59661a60
136253a05bba342
1427828196924ac
15119d660d09c39
hex830f63df8aa8

144102123342504 has 80 divisors (see below), whose sum is σ = 403621208533620. Its totient is φ = 48033822700800.

The previous prime is 144102123342481. The next prime is 144102123342517. The reversal of 144102123342504 is 405243321201441.

144102123342504 is a `hidden beast` number, since 1 + 4 + 4 + 10 + 212 + 3 + 3 + 425 + 0 + 4 = 666.

144102123342504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142566035770404 + 1536087572100 = 11940102^2 + 1239390^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209136954 + ... + 209824854.

Almost surely, 2144102123342504 is an apocalyptic number.

It is an amenable number.

144102123342504 is an abundant number, since it is smaller than the sum of its proper divisors (259519085191116).

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

144102123342504 is a wasteful number, since it uses less digits than its factorization.

144102123342504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011192 (or 1011179 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 144102123342504 its reverse (405243321201441), we get a palindrome (549345444543945).

The spelling of 144102123342504 in words is "one hundred forty-four trillion, one hundred two billion, one hundred twenty-three million, three hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 323273 646546 687901 969819 1293092 1375802 1939638 2063703 2586184 2751604 2909457 3879276 4127406 5503208 5818914 6191109 7758552 8254812 8728371 11637828 12382218 16509624 17456742 18573327 23275656 24764436 26185113 34913484 37146654 49528872 52370226 55719981 69826968 74293308 104740452 111439962 148586616 209480904 222879924 445759848 222379819973 444759639946 667139459919 889519279892 1334278919838 1779038559784 2001418379757 2668557839676 4002836759514 5337115679352 6004255139271 8005673519028 12008510278542 16011347038056 18012765417813 24017020557084 36025530835626 48034041114168 72051061671252 144102123342504