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144204626244 = 223721543158941
BaseRepresentation
bin1000011001001101000…
…0111111100101000100
3111210012212110000122010
42012103100333211010
54330312341014434
6150125141334220
713263345045600
oct2062320774504
9453185400563
10144204626244
115617a830068
1223b45a07370
13107a19ca613
146d9dc0a500
153b3ee169e9
hex219343f944

144204626244 has 72 divisors (see below), whose sum is σ = 391668691008. Its totient is φ = 41174360640.

The previous prime is 144204626219. The next prime is 144204626299. The reversal of 144204626244 is 442626402441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827814 + ... + 986754.

Almost surely, 2144204626244 is an apocalyptic number.

144204626244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144204626244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195834345504).

144204626244 is an abundant number, since it is smaller than the sum of its proper divisors (247464064764).

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

144204626244 is a wasteful number, since it uses less digits than its factorization.

144204626244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160505 (or 160496 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

The spelling of 144204626244 in words is "one hundred forty-four billion, two hundred four million, six hundred twenty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1543 3086 4629 6172 9258 10801 18516 21602 32403 43204 64806 75607 129612 151214 158941 226821 302428 317882 453642 476823 635764 907284 953646 1112587 1907292 2225174 3337761 4450348 6675522 7788109 13351044 15576218 23364327 31152436 46728654 93457308 245245963 490491926 735737889 980983852 1471475778 1716721741 2942951556 3433443482 5150165223 6866886964 10300330446 12017052187 20600660892 24034104374 36051156561 48068208748 72102313122 144204626244