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14332140023031 = 3359731393112851
BaseRepresentation
bin1101000010001111011000…
…0111010110110011110111
31212202010202110222022121000
43100203312013112303313
53334304210321214111
650252032204254343
73006314535101115
oct320436607266367
955663673868530
1014332140023031
11462625444a996
1217357b88413b3
137cc69060995c
14377971d22ab5
1519cc2a006c56
hexd08f61d6cf7

14332140023031 has 128 divisors (see below), whose sum is σ = 22124583936000. Its totient is φ = 9164708064000.

The previous prime is 14332140023029. The next prime is 14332140023039. The reversal of 14332140023031 is 13032004123341.

It is a happy number.

14332140023031 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 21 + 400 + 230 + 3 + 1 = 666.

It is not a de Polignac number, because 14332140023031 - 21 = 14332140023029 is a prime.

It is a super-2 number, since 2×143321400230312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14332140022986 and 14332140023004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14332140023039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5027055756 + ... + 5027058606.

It is an arithmetic number, because the mean of its divisors is an integer number (172848312000).

Almost surely, 214332140023031 is an apocalyptic number.

14332140023031 is a deficient number, since it is larger than the sum of its proper divisors (7792443912969).

14332140023031 is a wasteful number, since it uses less digits than its factorization.

14332140023031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14332140023031 its reverse (13032004123341), we get a palindrome (27364144146372).

The spelling of 14332140023031 in words is "fourteen trillion, three hundred thirty-two billion, one hundred forty million, twenty-three thousand, thirty-one".

Divisors: 1 3 9 27 59 73 139 177 219 311 417 531 657 933 1251 1593 1971 2799 2851 3753 4307 8201 8397 8553 10147 12921 18349 22703 24603 25659 30441 38763 43229 55047 68109 73809 76977 91323 116289 129687 165141 168209 204327 208123 221427 273969 389061 396289 495423 504627 598673 612981 624369 886661 1167183 1188867 1339477 1513881 1796019 1873107 2550511 2659983 3155717 3566601 4018431 4541643 5388057 5619321 7651533 7979949 9467151 10699803 12055293 12279257 16164171 22954599 23381051 23939847 28401453 28929097 36165879 36837771 52312999 64726253 68863797 70143153 85204359 86787291 110513313 123245879 156938997 186187303 194178759 210429459 260361873 331539939 369737637 470816991 558561909 582536277 631288377 781085619 1109212911 1412450973 1675685727 1706816723 1747608831 3327638733 3818848927 5027057181 5120450169 7271506861 8996949167 11456546781 15361350507 21814520583 26990847501 34369640343 46084051521 65443561749 80972542503 103108921029 196330685247 242917627509 530820000853 1592460002559 4777380007677 14332140023031