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14231210114430 = 234537661718379
BaseRepresentation
bin1100111100010111011000…
…1110010011110101111110
31212101111020111112201120000
43033011312032103311332
53331131004242130210
650133421102135130
72666112440035611
oct317056616236576
955344214481500
1014231210114430
114597471114791
12171a12b5814a6
137c2cc726134a
14372b1959c178
1519a2be333ac0
hexcf176393d7e

14231210114430 has 160 divisors (see below), whose sum is σ = 39359873535840. Its totient is φ = 3686830836480.

The previous prime is 14231210114423. The next prime is 14231210114491. The reversal of 14231210114430 is 3441101213241.

It is a happy number.

14231210114430 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 1 + 210 + 1 + 1 + 443 + 0 = 666.

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 = 14231210114394 and 14231210114403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19450981 + ... + 20169359.

It is an arithmetic number, because the mean of its divisors is an integer number (245999209599).

Almost surely, 214231210114430 is an apocalyptic number.

14231210114430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14231210114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679936767920).

14231210114430 is an abundant number, since it is smaller than the sum of its proper divisors (25128663421410).

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

14231210114430 is a wasteful number, since it uses less digits than its factorization.

14231210114430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719096 (or 719087 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14231210114430 its reverse (3441101213241), we get a palindrome (17672311327671).

The spelling of 14231210114430 in words is "fourteen trillion, two hundred thirty-one billion, two hundred ten million, one hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 661 666 810 999 1110 1322 1665 1983 1998 2997 3305 3330 3966 4995 5949 5994 6610 9915 9990 11898 14985 17847 19830 24457 29745 29970 35694 48914 53541 59490 73371 89235 107082 122285 146742 178470 220113 244570 267705 366855 440226 535410 660339 718379 733710 1100565 1320678 1436758 1981017 2155137 2201130 3301695 3591895 3962034 4310274 6465411 6603390 7183790 9905085 10775685 12930822 19396233 19810170 21551370 26580023 32327055 38792466 53160046 58188699 64654110 79740069 96981165 116377398 132900115 159480138 193962330 239220207 265800230 290943495 398700345 474848519 478440414 581886990 717660621 797400690 949697038 1196101035 1424545557 1435321242 2152981863 2374242595 2392202070 2849091114 3588303105 4273636671 4305963726 4748485190 7122727785 7176606210 8547273342 10764909315 12820910013 14245455570 17569395203 21368183355 21529818630 25641820026 35138790406 38462730039 42736366710 52708185609 64104550065 76925460078 87846976015 105416371218 128209100130 158124556827 175693952030 192313650195 263540928045 316249113654 384627300390 474373670481 527081856090 790622784135 948747340962 1423121011443 1581245568270 2371868352405 2846242022886 4743736704810 7115605057215 14231210114430