Search a number
-
+
13913495694720 = 27335805179149
BaseRepresentation
bin1100101001110111110011…
…1101111110110110000000
31211021010011102210221022000
43022131330331332312000
53310424314344212340
645331434403344000
72634134252032566
oct312357475766600
954233142727260
1013913495694720
1144847536607a6
121688641682000
1379c0634217ab
143615b992ba36
15191dc68ccd30
hexca77cf7ed80

13913495694720 has 128 divisors (see below), whose sum is σ = 49276963980000. Its totient is φ = 3710265513984.

The previous prime is 13913495694671. The next prime is 13913495694727. The reversal of 13913495694720 is 2749659431931.

It is a happy number.

13913495694720 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 3 + 4 + 9 + 569 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13913495694727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402572295 + ... + 402606854.

Almost surely, 213913495694720 is an apocalyptic number.

13913495694720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13913495694720 is an abundant number, since it is smaller than the sum of its proper divisors (35363468285280).

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

13913495694720 is an equidigital number, since it uses as much as digits as its factorization.

13913495694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805179177 (or 805179159 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 13913495694720 in words is "thirteen trillion, nine hundred thirteen billion, four hundred ninety-five million, six hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 805179149 1610358298 2415537447 3220716596 4025895745 4831074894 6441433192 7246612341 8051791490 9662149788 12077687235 12882866384 14493224682 16103582980 19324299576 21739837023 24155374470 25765732768 28986449364 32207165960 36233061705 38648599152 43479674046 48310748940 51531465536 57972898728 64414331920 72466123410 77297198304 86959348092 96621497880 103062931072 108699185115 115945797456 128828663840 144932246820 154594396608 173918696184 193242995760 217398370230 231891594912 257657327680 289864493640 309188793216 347837392368 386485991520 434796740460 463783189824 515314655360 579728987280 695674784736 772971983040 869593480920 927566379648 1159457974560 1391349569472 1545943966080 1739186961840 2318915949120 2782699138944 3478373923680 4637831898240 6956747847360 13913495694720