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14011230013020 = 22325196196618499
BaseRepresentation
bin1100101111100011111001…
…1000110100011001011100
31211121110102201011201112200
43023320332120310121130
53314024444340404040
645444400433131500
72644164225032232
oct313707630643134
954543381151480
1014011230013020
114512147085689
1216a35786b9b90
137a833a713776
1436620bad4952
151946e6c74630
hexcbe3e63465c

14011230013020 has 144 divisors (see below), whose sum is σ = 44809892400000. Its totient is φ = 3533960244096.

The previous prime is 14011230013013. The next prime is 14011230013037. The reversal of 14011230013020 is 2031003211041.

14011230013020 is a `hidden beast` number, since 1 + 401 + 1 + 230 + 0 + 1 + 30 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14011230012984 and 14011230013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192270 + ... + 5426229.

Almost surely, 214011230013020 is an apocalyptic number.

14011230013020 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 14011230013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404946200000).

14011230013020 is an abundant number, since it is smaller than the sum of its proper divisors (30798662386980).

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

14011230013020 is a wasteful number, since it uses less digits than its factorization.

14011230013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619152 (or 6619147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14011230013020 its reverse (2031003211041), we get a palindrome (16042233224061).

The spelling of 14011230013020 in words is "fourteen trillion, eleven billion, two hundred thirty million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 619 684 855 1140 1238 1710 1857 2476 3095 3420 3714 5571 6190 7428 9285 11142 11761 12380 18570 22284 23522 27855 35283 37140 47044 55710 58805 70566 105849 111420 117610 141132 176415 211698 235220 352830 423396 529245 705660 1058490 2116980 6618499 13236998 19855497 26473996 33092495 39710994 59566491 66184990 79421988 99277485 119132982 125751481 132369980 198554970 238265964 251502962 297832455 377254443 397109940 503005924 595664910 628757405 754508886 1131763329 1191329820 1257514810 1509017772 1886272215 2263526658 2515029620 3772544430 4096850881 4527053316 5658816645 7545088860 8193701762 11317633290 12290552643 16387403524 20484254405 22635266580 24581105286 36871657929 40968508810 49162210572 61452763215 73743315858 77840166739 81937017620 122905526430 147486631716 155680333478 184358289645 233520500217 245811052860 311360666956 368716579290 389200833695 467041000434 700561500651 737433158580 778401667390 934082000868 1167602501085 1401123001302 1556803334780 2335205002170 2802246002604 3502807503255 4670410004340 7005615006510 14011230013020