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12403234140 = 223511142913151
BaseRepresentation
bin10111000110100101…
…00101010101011100
31012000101212120121020
423203102211111130
5200400211443030
65410432204140
7616235515323
oct134322452534
935011776536
1012403234140
115295336430
1224a1999650
1312288691cb
148593c50ba
154c8d72510
hex2e34a555c

12403234140 has 96 divisors (see below), whose sum is σ = 37915637760. Its totient is φ = 3004512000.

The previous prime is 12403234133. The next prime is 12403234157. The reversal of 12403234140 is 4143230421.

12403234140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12403234140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936565 + ... + 949715.

It is an arithmetic number, because the mean of its divisors is an integer number (394954560).

Almost surely, 212403234140 is an apocalyptic number.

12403234140 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 12403234140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957818880).

12403234140 is an abundant number, since it is smaller than the sum of its proper divisors (25512403620).

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

12403234140 is a wasteful number, since it uses less digits than its factorization.

12403234140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603 (or 14601 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12403234140 its reverse (4143230421), we get a palindrome (16546464561).

The spelling of 12403234140 in words is "twelve billion, four hundred three million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1429 2858 4287 5716 7145 8574 13151 14290 15719 17148 21435 26302 28580 31438 39453 42870 47157 52604 62876 65755 78595 78906 85740 94314 131510 144661 157190 157812 188628 197265 235785 263020 289322 314380 394530 433983 471570 578644 723305 789060 867966 943140 1446610 1735932 2169915 2893220 4339830 8679660 18792779 37585558 56378337 75171116 93963895 112756674 187927790 206720569 225513348 281891685 375855580 413441138 563783370 620161707 826882276 1033602845 1127566740 1240323414 2067205690 2480646828 3100808535 4134411380 6201617070 12403234140