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14007099194712 = 2334132287727049
BaseRepresentation
bin1100101111010100100000…
…1010111111110101011000
31211121001202211022102010000
43023311020022333311120
53313443014343212322
645442434511253000
72643656655456201
oct313651012776530
954531684272100
1014007099194712
114510417370758
1216a280521a160
137a7b2c97ac90
14365d3924a5a8
151945542ad3ac
hexcbd482bfd58

14007099194712 has 160 divisors (see below), whose sum is σ = 42269291064000. Its totient is φ = 4307986238976.

The previous prime is 14007099194591. The next prime is 14007099194741. The reversal of 14007099194712 is 21749199070041.

14007099194712 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 70 + 99 + 19 + 471 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18902164 + ... + 19629212.

It is an arithmetic number, because the mean of its divisors is an integer number (264183069150).

Almost surely, 214007099194712 is an apocalyptic number.

14007099194712 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 14007099194712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134645532000).

14007099194712 is an abundant number, since it is smaller than the sum of its proper divisors (28262191869288).

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

14007099194712 is a wasteful number, since it uses less digits than its factorization.

14007099194712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729367 (or 729354 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 14007099194712 in words is "fourteen trillion, seven billion, ninety-nine million, one hundred ninety-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2287 2808 4212 4574 6861 8424 9148 13722 18296 20583 27444 29731 41166 54888 59462 61749 82332 89193 118924 123498 164664 178386 185247 237848 246996 267579 356772 370494 493992 535158 713544 727049 740988 802737 1070316 1454098 1481976 1605474 2140632 2181147 2408211 2908196 3210948 4362294 4816422 5816392 6421896 6543441 8724588 9451637 9632844 13086882 17449176 18903274 19265688 19630323 26173764 28354911 37806548 39260646 52347528 56709822 58890969 75613096 78521292 85064733 113419644 117781938 157042584 170129466 226839288 235563876 255194199 340258932 471127752 510388398 680517864 765582597 1020776796 1531165194 1662761063 2041553592 3062330388 3325522126 4988283189 6124660776 6651044252 9976566378 13302088504 14964849567 19953132756 21615893819 29929699134 39906265512 43231787638 44894548701 59859398268 64847681457 86463575276 89789097402 119718796536 129695362914 134683646103 172927150552 179578194804 194543044371 259390725828 269367292206 359156389608 389086088742 518781451656 538734584412 583629133113 778172177484 1077469168824 1167258266226 1556344354968 1750887399339 2334516532452 3501774798678 4669033064904 7003549597356 14007099194712