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144190284272 = 2429261971811
BaseRepresentation
bin1000011001001001101…
…0010010000111110000
3111210011212110101010222
42012102122102013300
54330300203044042
6150123510112212
713263112123346
oct2062232220760
9453155411128
10144190284272
11561727247a1
1223b4104b668
131079ba48648
146d9bd55996
153b3da322d2
hex21926921f0

144190284272 has 120 divisors (see below), whose sum is σ = 297273233712. Its totient is φ = 67724697600.

The previous prime is 144190284247. The next prime is 144190284313. The reversal of 144190284272 is 272482091441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79618247 + ... + 79620057.

Almost surely, 2144190284272 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 144190284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148636616856).

144190284272 is an abundant number, since it is smaller than the sum of its proper divisors (153082949440).

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

144190284272 is a wasteful number, since it uses less digits than its factorization.

144190284272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 144190284272 in words is "one hundred forty-four billion, one hundred ninety million, two hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 61 97 116 122 194 232 244 388 464 488 776 841 976 1552 1682 1769 1811 2813 3364 3538 3622 5626 5917 6728 7076 7244 11252 11834 13456 14152 14488 22504 23668 28304 28976 45008 47336 51301 52519 81577 94672 102602 105038 110471 163154 171593 175667 205204 210076 220942 326308 343186 351334 410408 420152 441884 652616 686372 702668 820816 840304 883768 1305232 1372744 1405336 1523051 1767536 2745488 2810672 3046102 3203659 4976197 5094343 6092204 6407318 9952394 10188686 10715687 12184408 12814636 19904788 20377372 21431374 24368816 25629272 39809576 40754744 42862748 51258544 79619152 81509488 85725496 92906111 147735947 171450992 185812222 295471894 310754923 371624444 590943788 621509846 743248888 1181887576 1243019692 1486497776 2363775152 2486039384 4972078768 9011892767 18023785534 36047571068 72095142136 144190284272