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144302004120 = 23355927175209
BaseRepresentation
bin1000011001100100010…
…0011101011110011000
3111210110122200022222010
42012121010131132120
54331012303112440
6150142540425520
713265636540241
oct2063104353630
9453418608863
10144302004120
115621a7a054a
1223b725482a0
13107b8c33771
146dacb17cc8
153b4874e580
hex219911d798

144302004120 has 128 divisors (see below), whose sum is σ = 441873792000. Its totient is φ = 37688232960.

The previous prime is 144302004109. The next prime is 144302004139. The reversal of 144302004120 is 21400203441.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1881076 + ... + 1956284.

It is an arithmetic number, because the mean of its divisors is an integer number (3452139000).

Almost surely, 2144302004120 is an apocalyptic number.

144302004120 is a gapful number since it is divisible by the number (10) 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 144302004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220936896000).

144302004120 is an abundant number, since it is smaller than the sum of its proper divisors (297571787880).

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

144302004120 is a wasteful number, since it uses less digits than its factorization.

144302004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75553 (or 75549 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 144302004120 its reverse (21400203441), we get a palindrome (165702207561).

The spelling of 144302004120 in words is "one hundred forty-four billion, three hundred two million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 271 295 354 472 542 590 708 813 885 1084 1180 1355 1416 1626 1770 2168 2360 2710 3252 3540 4065 5420 6504 7080 8130 10840 15989 16260 31978 32520 47967 63956 75209 79945 95934 127912 150418 159890 191868 225627 239835 300836 319780 376045 383736 451254 479670 601672 639560 752090 902508 959340 1128135 1504180 1805016 1918680 2256270 3008360 4437331 4512540 8874662 9025080 13311993 17749324 20381639 22186655 26623986 35498648 40763278 44373310 53247972 61144917 66559965 81526556 88746620 101908195 106495944 122289834 133119930 163053112 177493240 203816390 244579668 266239860 305724585 407632780 489159336 532479720 611449170 815265560 1202516701 1222898340 2405033402 2445796680 3607550103 4810066804 6012583505 7215100206 9620133608 12025167010 14430200412 18037750515 24050334020 28860400824 36075501030 48100668040 72151002060 144302004120