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14354051100012 = 223213312093947251
BaseRepresentation
bin1101000011100001000000…
…0111011110110101101100
31212211020022111112100121200
43100320100013132311230
53340134044040200022
650310054322525500
73011021524141041
oct320702007366554
955736274470550
1014354051100012
114634578700378
121739ab2806890
13801772bc5c70
14378a4dd571c8
1519d5ad91cbac
hexd0e101ded6c

14354051100012 has 144 divisors (see below), whose sum is σ = 40338178083840. Its totient is φ = 4273864560000.

The previous prime is 14354051100001. The next prime is 14354051100031. The reversal of 14354051100012 is 21000115045341.

14354051100012 is a `hidden beast` number, since 1 + 4 + 3 + 540 + 5 + 1 + 100 + 0 + 12 = 666.

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, 303759387 + ... + 303806637.

Almost surely, 214354051100012 is an apocalyptic number.

14354051100012 is a gapful number since it is divisible by the number (12) 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 14354051100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169089041920).

14354051100012 is an abundant number, since it is smaller than the sum of its proper divisors (25984126983828).

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

14354051100012 is a wasteful number, since it uses less digits than its factorization.

14354051100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68244 (or 68239 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 14354051100012 its reverse (21000115045341), we get a palindrome (35354166145353).

The spelling of 14354051100012 in words is "fourteen trillion, three hundred fifty-four billion, fifty-one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 20939 41878 47251 62817 83756 94502 125634 141753 188451 189004 251268 272207 283506 376902 425259 544414 567012 614263 649109 753804 816621 850518 1088828 1228526 1298218 1464781 1633242 1701036 1842789 1947327 2449863 2457052 2596436 2929562 3266484 3685578 3894654 4394343 4899726 5528367 5841981 5859124 7371156 7789308 8438417 8788686 9799452 11056734 11683962 13183029 16876834 17577372 19042153 22113468 23367924 25315251 26366058 33753668 38084306 50630502 52732116 57126459 75945753 76168612 101261004 114252918 151891506 171379377 228505836 303783012 342758754 685517508 989388689 1978777378 2968166067 3957554756 5936332134 8904498201 11872664268 12862052957 17808996402 25724105914 30671049359 35617992804 38586158871 51448211828 61342098718 77172317742 92013148077 115758476613 122684197436 154344635484 184026296154 231516953226 276039444231 368052592308 398723641667 463033906452 552078888462 797447283334 1104157776924 1196170925001 1594894566668 2392341850002 3588512775003 4784683700004 7177025550006 14354051100012