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14002321204144 = 24713107109781931
BaseRepresentation
bin1100101111000010101101…
…1000011010001110110000
31211120121102211200100020101
43023300223120122032300
53313403223212013034
645440324430322144
72643430400304430
oct313605330321660
954517384610211
1014002321204144
114509395309719
1216a18b1059354
137a754ab11620
14365a0485a2c0
15194374aac514
hexcbc2b61a3b0

14002321204144 has 160 divisors (see below), whose sum is σ = 33733341927936. Its totient is φ = 5482540615680.

The previous prime is 14002321204121. The next prime is 14002321204181. The reversal of 14002321204144 is 44140212320041.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 170862859 + ... + 170944789.

Almost surely, 214002321204144 is an apocalyptic number.

14002321204144 is a gapful number since it is divisible by the number (14) 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 14002321204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16866670963968).

14002321204144 is an abundant number, since it is smaller than the sum of its proper divisors (19731020723792).

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

14002321204144 is a wasteful number, since it uses less digits than its factorization.

14002321204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83163 (or 83157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14002321204144 its reverse (44140212320041), we get a palindrome (58142533524185).

The spelling of 14002321204144 in words is "fourteen trillion, two billion, three hundred twenty-one million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 107 112 182 208 214 364 428 728 749 856 1097 1391 1456 1498 1712 2194 2782 2996 4388 5564 5992 7679 8776 9737 11128 11984 14261 15358 17552 19474 22256 28522 30716 38948 57044 61432 77896 81931 99827 114088 117379 122864 155792 163862 199654 228176 234758 327724 399308 469516 573517 655448 798616 821653 939032 1065103 1147034 1310896 1525927 1597232 1643306 1878064 2130206 2294068 3051854 3286612 4260412 4588136 6103708 6573224 7455721 8520824 8766617 9176272 10681489 12207416 13146448 14911442 17041648 17533234 21362978 24414832 29822884 35066468 42725956 59645768 61366319 70132936 85451912 89878307 113966021 119291536 122732638 140265872 170903824 179756614 227932042 245465276 359513228 455864084 490930552 629148149 719026456 797762147 911728168 981861104 1168417991 1258296298 1438052912 1595524294 1823456336 2336835982 2516592596 3191048588 4673671964 5033185192 6382097176 8178925937 9347343928 9616978849 10066370384 12764194352 16357851874 18694687856 19233957698 32715703748 38467915396 65431407496 67318851943 76935830792 125020725037 130862814992 134637703886 153871661584 250041450074 269275407772 500082900148 538550815544 875145075259 1000165800296 1077101631088 1750290150518 2000331600592 3500580301036 7001160602072 14002321204144