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120143024144 = 2411133115710789
BaseRepresentation
bin110111111100100010…
…1010001000000010000
3102111002222021222201222
41233321011101000100
53432023103233034
6131105401544212
711452153566263
oct1577105210020
9374088258658
10120143024144
1146a526722a0
121b34b7a5068
13b438a13040
145b5a336cda
1531d280812e
hex1bf9151010

120143024144 has 160 divisors (see below), whose sum is σ = 284118481920. Its totient is φ = 48468326400.

The previous prime is 120143024119. The next prime is 120143024147. The reversal of 120143024144 is 441420341021.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (120143024147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11130302 + ... + 11141090.

It is an arithmetic number, because the mean of its divisors is an integer number (1775740512).

Almost surely, 2120143024144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120143024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142059240960).

120143024144 is an abundant number, since it is smaller than the sum of its proper divisors (163975457776).

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

120143024144 is a wasteful number, since it uses less digits than its factorization.

120143024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11009 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 120143024144 its reverse (441420341021), we get a palindrome (561563365165).

The spelling of 120143024144 in words is "one hundred twenty billion, one hundred forty-three million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 157 176 208 248 286 314 341 403 496 572 628 682 806 1144 1256 1364 1612 1727 2041 2288 2512 2728 3224 3454 4082 4433 4867 5456 6448 6908 8164 8866 9734 10789 13816 16328 17732 19468 21578 22451 27632 32656 35464 38936 43156 44902 53537 63271 70928 77872 86312 89804 107074 118679 126542 140257 172624 179608 214148 237358 253084 280514 334459 359216 428296 474716 506168 561028 668918 695981 856592 949432 1012336 1122056 1337836 1391962 1542827 1693873 1898864 2244112 2675672 2783924 3085654 3387746 3679049 4347967 5351344 5567848 6171308 6775492 7358098 8695934 11135696 12342616 13550984 14716196 17391868 18632603 22020349 24685232 27101968 29432392 34783736 37265206 44040698 47827637 52510063 58864784 69567472 74530412 88081396 95655274 105020126 149060824 176162792 191310548 210040252 242223839 298121648 352325584 382621096 420080504 484447678 577610693 682630819 765242192 840161008 968895356 1155221386 1365261638 1937790712 2310442772 2730523276 3875581424 4620885544 5461046552 7508939009 9241771088 10922093104 15017878018 30035756036 60071512072 120143024144