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14269244199760 = 2451129559139663
BaseRepresentation
bin1100111110100101000100…
…1110110101001101010000
31212112010102011101110010001
43033221101032311031100
53332241403003343020
650203111132415344
73001630113320014
oct317512116651520
955463364343101
1014269244199760
114601609396a60
121725585017554
137c6778c41b94
143748c6a24544
1519b29843c50a
hexcfa513b5350

14269244199760 has 80 divisors (see below), whose sum is σ = 37439991901440. Its totient is φ = 5009891371520.

The previous prime is 14269244199733. The next prime is 14269244199797. The reversal of 14269244199760 is 6799144296241.

14269244199760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×142692441997602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14269244199692 and 14269244199701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279544312 + ... + 279595351.

It is an arithmetic number, because the mean of its divisors is an integer number (467999898768).

Almost surely, 214269244199760 is an apocalyptic number.

14269244199760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14269244199760 is an abundant number, since it is smaller than the sum of its proper divisors (23170747701680).

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

14269244199760 is a wasteful number, since it uses less digits than its factorization.

14269244199760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559139716 (or 559139710 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

The spelling of 14269244199760 in words is "fourteen trillion, two hundred sixty-nine billion, two hundred forty-four million, one hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 559139663 1118279326 2236558652 2795698315 4473117304 5591396630 6150536293 8946234608 11182793260 12301072586 16215050227 22365586520 24602145172 30752681465 32430100454 44731173040 49204290344 61505362930 64860200908 81075251135 98408580688 123010725860 129720401816 162150502270 178365552497 246021451720 259440803632 324301004540 356731104994 492042903440 648602009080 713462209988 891827762485 1297204018160 1426924419976 1783655524970 2853848839952 3567311049940 7134622099880 14269244199760