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144788190426 = 2321117227189493
BaseRepresentation
bin1000011011011000001…
…1000111010011011010
3111211201112112011012100
42012312003013103122
54333011234043201
6150303105224230
713313662212105
oct2066603072332
9454645464170
10144788190426
115644a182510
1224089332076
1310865890179
14701751573c
153b76289886
hex21b60c74da

144788190426 has 96 divisors (see below), whose sum is σ = 363955819968. Its totient is φ = 41112184320.

The previous prime is 144788190413. The next prime is 144788190487. The reversal of 144788190426 is 624091887441.

144788190426 is a `hidden beast` number, since 1 + 4 + 478 + 81 + 90 + 4 + 2 + 6 = 666.

It is a super-2 number, since 2×1447881904262 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669336 + ... + 858828.

It is an arithmetic number, because the mean of its divisors is an integer number (3791206458).

Almost surely, 2144788190426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144788190426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181977909984).

144788190426 is an abundant number, since it is smaller than the sum of its proper divisors (219167629542).

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

144788190426 is a wasteful number, since it uses less digits than its factorization.

144788190426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189756 (or 189753 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 144788190426 in words is "one hundred forty-four billion, seven hundred eighty-eight million, one hundred ninety thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 227 306 374 454 561 681 1122 1362 1683 2043 2497 3366 3859 4086 4994 7491 7718 11577 14982 22473 23154 34731 42449 44946 69462 84898 127347 189493 254694 378986 382041 568479 764082 1136958 1705437 2084423 3221381 3410874 4168846 6253269 6442762 9664143 12506538 18759807 19328286 28992429 35435191 37519614 43014911 57984858 70870382 86029822 106305573 129044733 212611146 258089466 318916719 387134199 473164021 637833438 731253487 774268398 946328042 1419492063 1462506974 2193760461 2838984126 4258476189 4387520922 6581281383 8043788357 8516952378 13162562766 16087576714 24131365071 48262730142 72394095213 144788190426