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12430034356152 = 2337211350655449
BaseRepresentation
bin1011010011100001011111…
…0010000100011110111000
31122000022002110120211221110
42310320113302010132320
53112123202243344102
642234140130440320
72422016560513050
oct264702762043670
948008073524843
1012430034356152
113a62603386546
1214890354330a0
136c21bb5619aa
1430d88c9b0560
1516850147c86c
hexb4e17c847b8

12430034356152 has 64 divisors (see below), whose sum is σ = 35682698592000. Its totient is φ = 3534606915840.

The previous prime is 12430034356147. The next prime is 12430034356153. The reversal of 12430034356152 is 25165343003421.

12430034356152 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 12430034356152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430034356153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175292277 + ... + 175363172.

It is an arithmetic number, because the mean of its divisors is an integer number (557542165500).

Almost surely, 212430034356152 is an apocalyptic number.

12430034356152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12430034356152 is an abundant number, since it is smaller than the sum of its proper divisors (23252664235848).

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

12430034356152 is a wasteful number, since it uses less digits than its factorization.

12430034356152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350655676 (or 350655672 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 12430034356152 its reverse (25165343003421), we get a palindrome (37595377359573).

The spelling of 12430034356152 in words is "twelve trillion, four hundred thirty billion, thirty-four million, three hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2532 2954 4431 5064 5908 8862 11816 17724 35448 350655449 701310898 1051966347 1402621796 2103932694 2454588143 2805243592 4207865388 4909176286 7363764429 8415730776 9818352572 14727528858 19636705144 29455057716 58910115432 73988299739 147976599478 221964899217 295953198956 443929798434 517918098173 591906397912 887859596868 1035836196346 1553754294519 1775719193736 2071672392692 3107508589038 4143344785384 6215017178076 12430034356152