Search a number
-
+
14956090914102 = 231341181187913751
BaseRepresentation
bin1101100110100011110001…
…1111000111010100110110
31221221210021200122200222220
43121220330133013110312
53430020033233222402
651450422221303210
73102353606132652
oct331507437072466
957853250580886
1014956090914102
11484692a464438
121816710704b06
1384647932a850
14399c4309ba62
151ae0978b4dbc
hexd9a3c7c7536

14956090914102 has 128 divisors (see below), whose sum is σ = 33201191761920. Its totient is φ = 4462128000000.

The previous prime is 14956090914101. The next prime is 14956090914131. The reversal of 14956090914102 is 20141909065941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14956090914101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1087629727 + ... + 1087643477.

It is an arithmetic number, because the mean of its divisors is an integer number (259384310640).

Almost surely, 214956090914102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14956090914102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16600595880960).

14956090914102 is an abundant number, since it is smaller than the sum of its proper divisors (18245100847818).

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

14956090914102 is a wasteful number, since it uses less digits than its factorization.

14956090914102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870.

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 14956090914102 in words is "fourteen trillion, nine hundred fifty-six billion, ninety million, nine hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 181 246 362 533 543 1066 1086 1599 1879 2353 3198 3758 4706 5637 7059 7421 11274 13751 14118 14842 22263 24427 27502 41253 44526 48854 73281 77039 82506 96473 146562 154078 178763 192946 231117 289419 340099 357526 462234 536289 563791 578838 680198 1001507 1020297 1072578 1127582 1691373 2003014 2040594 2488931 3004521 3382746 4421287 4977862 6009042 7329283 7466793 8842574 13263861 13944059 14658566 14933586 21987849 25838129 26527722 27888118 32356103 41832177 43975698 51676258 64712206 77514387 83664354 97068309 102046171 155028774 181272767 194136618 204092342 306138513 335895677 362545534 543818301 612277026 671791354 1007687031 1059363289 1087636602 1326600223 2015374062 2118726578 2653200446 3178089867 3979800669 4676701349 6356179734 7959601338 9353402698 13771722757 14030104047 27543445514 28060208094 41315168271 60797117537 82630336542 121594235074 182391352611 191744755309 364782705222 383489510618 575234265927 1150468531854 2492681819017 4985363638034 7478045457051 14956090914102