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14108830206192 = 2433919136725997
BaseRepresentation
bin1100110101001111011111…
…0100000000100011110000
31211221210100122011020201000
43031103313310000203300
53322124341013044232
650001301312042000
72654220652010331
oct315236764004360
954853318136630
1014108830206192
11454a580920357
1216ba476833300
137b45c2ca4467
1436ac2a146288
1519700a47527c
hexcd4f7d008f0

14108830206192 has 160 divisors (see below), whose sum is σ = 40572853171200. Its totient is φ = 4694208774912.

The previous prime is 14108830206173. The next prime is 14108830206199. The reversal of 14108830206192 is 29160203880141.

14108830206192 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 8 + 8 + 3 + 0 + 20 + 619 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14108830206199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542696938 + ... + 542722934.

It is an arithmetic number, because the mean of its divisors is an integer number (253580332320).

Almost surely, 214108830206192 is an apocalyptic number.

14108830206192 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 14108830206192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286426585600).

14108830206192 is an abundant number, since it is smaller than the sum of its proper divisors (26464022965008).

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

14108830206192 is a wasteful number, since it uses less digits than its factorization.

14108830206192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28300 (or 28288 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 14108830206192 in words is "fourteen trillion, one hundred eight billion, eight hundred thirty million, two hundred six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 919 1367 1838 2734 2757 3676 4101 5468 5514 7352 8202 8271 10936 11028 12303 14704 16404 16542 21872 22056 24606 24813 25997 32808 33084 36909 44112 49212 49626 51994 65616 66168 73818 77991 98424 99252 103988 132336 147636 155982 196848 198504 207976 233973 295272 311964 397008 415952 467946 590544 623928 701919 935892 1247856 1256273 1403838 1871784 2512546 2807676 3743568 3768819 5025092 5615352 7537638 10050184 11230704 11306457 15075276 20100368 22612914 23891243 30150552 33919371 35537899 45225828 47782486 60301104 67838742 71075798 71673729 90451656 95564972 106613697 135677484 142151596 143347458 180903312 191129944 213227394 215021187 271354968 284303192 286694916 319841091 382259888 426454788 430042374 542709936 568606384 573389832 639682182 645063561 852909576 860084748 959523273 1146779664 1279364364 1290127122 1705819152 1720169496 1919046546 2558728728 2580254244 3440338992 3838093092 5117457456 5160508488 7676186184 10321016976 15352372368 32659329181 65318658362 97977987543 130637316724 195955975086 261274633448 293933962629 391911950172 522549266896 587867925258 783823900344 881801887887 1175735850516 1567647800688 1763603775774 2351471701032 3527207551548 4702943402064 7054415103096 14108830206192