Search a number
-
+
12345041430152 = 23171493071984399
BaseRepresentation
bin1011001110100100110111…
…0011110010011010001000
31121201011201011101212002022
42303221031303302122020
53104230121101231102
642131122253224012
72412620430535634
oct263511563623210
947634634355068
1012345041430152
113a2a559064242
121474675492008
136b7194ba70c2
14309708a95dc4
151661c99a35a2
hexb3a4dcf2688

12345041430152 has 64 divisors (see below), whose sum is σ = 24753405600000. Its totient is φ = 5751642663936.

The previous prime is 12345041430131. The next prime is 12345041430209. The reversal of 12345041430152 is 25103414054321.

12345041430152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5228849 + ... + 7213247.

It is an arithmetic number, because the mean of its divisors is an integer number (386771962500).

Almost surely, 212345041430152 is an apocalyptic number.

It is an amenable number.

12345041430152 is an abundant number, since it is smaller than the sum of its proper divisors (12408364169848).

12345041430152 is a wasteful number, since it uses less digits than its factorization.

12345041430152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984878 (or 1984874 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 12345041430152 its reverse (25103414054321), we get a palindrome (37448455484473).

The spelling of 12345041430152 in words is "twelve trillion, three hundred forty-five billion, forty-one million, four hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 17 34 68 136 149 298 307 596 614 1192 1228 2456 2533 5066 5219 10132 10438 20264 20876 41752 45743 91486 182972 365944 777631 1555262 1984399 3110524 3968798 6221048 7937596 15875192 33734783 67469566 134939132 269878264 295675451 591350902 609210493 1182701804 1218420986 2365403608 2436841972 4873683944 5026482667 10052965334 10356578381 20105930668 20713156762 40211861336 41426313524 82852627048 90772363457 181544726914 363089453828 726178907656 1543130178769 3086260357538 6172520715076 12345041430152