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114223120143240 = 23352815216501727
BaseRepresentation
bin11001111110001010100100…
…100000000101001110001000
3112222102121211122011010200010
4121332022210200011032020
5104432412422224040430
61042533213232511520
733026230253455263
oct3176124440051610
9488377748133603
10114223120143240
1133438831591859
12109892579ab5a0
134b9726a322394
14202c5ddba5cda
15d31313784cb0
hex67e2a4805388

114223120143240 has 128 divisors (see below), whose sum is σ = 344548932664320. Its totient is φ = 30292841779200.

The previous prime is 114223120143211. The next prime is 114223120143311. The reversal of 114223120143240 is 42341021322411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114223120143198 and 114223120143207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14317257 + ... + 20818983.

It is an arithmetic number, because the mean of its divisors is an integer number (2691788536440).

Almost surely, 2114223120143240 is an apocalyptic number.

114223120143240 is a gapful number since it is divisible by the number (10) 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 114223120143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172274466332160).

114223120143240 is an abundant number, since it is smaller than the sum of its proper divisors (230325812521080).

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

114223120143240 is a wasteful number, since it uses less digits than its factorization.

114223120143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502543 (or 6502539 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 114223120143240 its reverse (42341021322411), we get a palindrome (156564141465651).

The spelling of 114223120143240 in words is "one hundred fourteen trillion, two hundred twenty-three billion, one hundred twenty million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 521 562 843 1042 1124 1405 1563 1686 2084 2248 2605 2810 3126 3372 4168 4215 5210 5620 6252 6744 7815 8430 10420 11240 12504 15630 16860 20840 31260 33720 62520 146401 292802 439203 585604 732005 878406 1171208 1464010 1756812 2196015 2928020 3513624 4392030 5856040 6501727 8784060 13003454 17568120 19505181 26006908 32508635 39010362 52013816 65017270 78020724 97525905 130034540 156041448 195051810 260069080 390103620 780207240 1826985287 3387399767 3653970574 5480955861 6774799534 7307941148 9134926435 10162199301 10961911722 13549599068 14615882296 16936998835 18269852870 20324398602 21923823444 27099198136 27404779305 33873997670 36539705740 40648797204 43847646888 50810996505 54809558610 67747995340 73079411480 81297594408 101621993010 109619117220 135495990680 203243986020 219238234440 406487972040 951859334527 1903718669054 2855578003581 3807437338108 4759296672635 5711156007162 7614874676216 9518593345270 11422312014324 14277890017905 19037186690540 22844624028648 28555780035810 38074373381080 57111560071620 114223120143240