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114107062454028 = 223272331635071253
BaseRepresentation
bin11001111100011110011110…
…111011001000011100001100
3112222000112021101010122220100
4121330132132323020130030
5104424012230442012103
61042404021045451100
733014651244415320
oct3174363673103414
9488015241118810
10114107062454028
11333a3595a99126
121096a868410a90
134b89332b0b4b7
142026b50277980
15d2d2be95b5a3
hex67c79eec870c

114107062454028 has 144 divisors (see below), whose sum is σ = 355070878396416. Its totient is φ = 30178585895040.

The previous prime is 114107062453999. The next prime is 114107062454081. The reversal of 114107062454028 is 820454260701411.

114107062454028 is a `hidden beast` number, since 1 + 1 + 4 + 10 + 7 + 0 + 624 + 5 + 4 + 0 + 2 + 8 = 666.

114107062454028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1141070624540282 (a number of 29 digits) contains 22 as substring.

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, 317355951 + ... + 317715302.

It is an arithmetic number, because the mean of its divisors is an integer number (2465769988864).

Almost surely, 2114107062454028 is an apocalyptic number.

114107062454028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114107062454028 is an abundant number, since it is smaller than the sum of its proper divisors (240963815942388).

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

114107062454028 is a wasteful number, since it uses less digits than its factorization.

114107062454028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635071324 (or 635071319 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 114107062454028 in words is "one hundred fourteen trillion, one hundred seven billion, sixty-two million, four hundred fifty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 31 36 42 46 62 63 69 84 92 93 124 126 138 161 186 207 217 252 276 279 322 372 414 434 483 558 644 651 713 828 868 966 1116 1302 1426 1449 1932 1953 2139 2604 2852 2898 3906 4278 4991 5796 6417 7812 8556 9982 12834 14973 19964 25668 29946 44919 59892 89838 179676 635071253 1270142506 1905213759 2540285012 3810427518 4445498771 5715641277 7620855036 8890997542 11431282554 13336496313 14606638819 17781995084 19687208843 22862565108 26672992626 29213277638 39374417686 40009488939 43819916457 53345985252 58426555276 59061626529 78748835372 80018977878 87639832914 102246471733 118123253058 131459749371 137810461901 160037955756 175279665828 177184879587 204492943466 236246506116 262919498742 275620923802 306739415199 354369759174 408985886932 413431385703 452805803389 525838997484 551241847604 613478830398 708739518348 826862771406 905611606778 920218245597 1226957660796 1240294157109 1358417410167 1653725542812 1811223213556 1840436491194 2480588314218 2716834820334 3169640623723 3680872982388 4075252230501 4961176628436 5433669640668 6339281247446 8150504461002 9508921871169 12678562494892 16301008922004 19017843742338 28526765613507 38035687484676 57053531227014 114107062454028