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12384442465230 = 23511971013830623
BaseRepresentation
bin1011010000110111101001…
…0010110011101111001110
31121211221102002101211011210
42310031322102303233032
53110401314232341410
642201200114155250
72415514013031213
oct264157222635716
947757362354153
1012384442465230
113a45237a01050
121480230882b26
136bab03b33c44
1430b5a58a9b0a
15167233ac4220
hexb437a4b3bce

12384442465230 has 128 divisors (see below), whose sum is σ = 33083352723456. Its totient is φ = 2941917696000.

The previous prime is 12384442465229. The next prime is 12384442465259. The reversal of 12384442465230 is 3256424448321.

It is a self number, because there is not a number n which added to its sum of digits gives 12384442465230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317699 + ... + 5148321.

It is an arithmetic number, because the mean of its divisors is an integer number (258463693152).

Almost surely, 212384442465230 is an apocalyptic number.

12384442465230 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 12384442465230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541676361728).

12384442465230 is an abundant number, since it is smaller than the sum of its proper divisors (20698910258226).

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

12384442465230 is a wasteful number, since it uses less digits than its factorization.

12384442465230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830842.

The product of its (nonzero) digits is 4423680, while the sum is 48.

The spelling of 12384442465230 in words is "twelve trillion, three hundred eighty-four billion, four hundred forty-two million, four hundred sixty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 101 110 165 194 202 291 303 330 485 505 582 606 970 1010 1067 1111 1455 1515 2134 2222 2910 3030 3201 3333 5335 5555 6402 6666 9797 10670 11110 16005 16665 19594 29391 32010 33330 48985 58782 97970 107767 146955 215534 293910 323301 538835 646602 1077670 1616505 3233010 3830623 7661246 11491869 19153115 22983738 38306230 42136853 57459345 84273706 114918690 126410559 210684265 252821118 371570431 386892923 421368530 632052795 743140862 773785846 1114711293 1160678769 1264105590 1857852155 1934464615 2229422586 2321357538 3715704310 3868929230 4087274741 4255822153 5573556465 5803393845 8174549482 8511644306 11147112930 11606787690 12261824223 12767466459 20436373705 21279110765 24523648446 25534932918 37528613531 40872747410 42558221530 61309121115 63837332295 75057227062 112585840593 122618242230 127674664590 187643067655 225171681186 375286135310 412814748841 562929202965 825629497682 1125858405930 1238444246523 2064073744205 2476888493046 4128147488410 6192221232615 12384442465230