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144409998480 = 243511291886233
BaseRepresentation
bin1000011001111110000…
…0011011010010010000
3111210202011220000101020
42012133200123102100
54331222424422410
6150201355235440
713301420506506
oct2063740332220
9453664800336
10144409998480
1156275752290
1223ba2748b80
1310805415c57
146dbd1ca676
153b52e82a70
hex219f81b490

144409998480 has 160 divisors (see below), whose sum is σ = 505208914560. Its totient is φ = 33801277440.

The previous prime is 144409998479. The next prime is 144409998527. The reversal of 144409998480 is 84899904441.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866557 + ... + 1019676.

It is an arithmetic number, because the mean of its divisors is an integer number (3157555716).

Almost surely, 2144409998480 is an apocalyptic number.

144409998480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144409998480 is an abundant number, since it is smaller than the sum of its proper divisors (360798916080).

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

144409998480 is a wasteful number, since it uses less digits than its factorization.

144409998480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886289 (or 1886283 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 144409998480 in words is "one hundred forty-four billion, four hundred nine million, nine hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 1886233 3772466 5658699 7544932 9431165 11317398 15089864 18862330 20748563 22634796 28293495 30179728 37724660 41497126 45269592 54700757 56586990 62245689 75449320 82994252 90539184 103742815 109401514 113173980 124491378 150898640 164102271 165988504 207485630 218803028 226347960 248982756 273503785 311228445 328204542 331977008 414971260 437606056 452695920 497965512 547007570 601708327 622456890 656409084 820511355 829942520 875212112 995931024 1094015140 1203416654 1244913780 1312818168 1641022710 1659885040 1805124981 2188030280 2406833308 2489827560 2625636336 3008541635 3282045420 3610249962 4376060560 4813666616 4979655120 6017083270 6564090840 7220499924 9025624905 9627333232 12034166540 13128181680 14440999848 18051249810 24068333080 28881999696 36102499620 48136666160 72204999240 144409998480