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12434431420 = 2251996075147
BaseRepresentation
bin10111001010010011…
…00101110110111100
31012002120120120020001
423211021211312330
5200431203301140
65413505004044
7620064631435
oct134511456674
935076516201
1012434431420
115300a04404
1224b0323624
131232170138
1485d5c648c
154cb985e9a
hex2e5265dbc

12434431420 has 48 divisors (see below), whose sum is σ = 26291865600. Its totient is φ = 4939665984.

The previous prime is 12434431409. The next prime is 12434431423. The reversal of 12434431420 is 2413443421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434431423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2413287 + ... + 2418433.

It is an arithmetic number, because the mean of its divisors is an integer number (547747200).

Almost surely, 212434431420 is an apocalyptic number.

12434431420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434431420 is an abundant number, since it is smaller than the sum of its proper divisors (13857434180).

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

12434431420 is a wasteful number, since it uses less digits than its factorization.

12434431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12434431420 its reverse (2413443421), we get a palindrome (14847874841).

The spelling of 12434431420 in words is "twelve billion, four hundred thirty-four million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 199 398 607 796 995 1214 1990 2428 3035 3980 5147 6070 10294 12140 20588 25735 51470 102940 120793 241586 483172 603965 1024253 1207930 2048506 2415860 3124229 4097012 5121265 6248458 10242530 12496916 15621145 20485060 31242290 62484580 621721571 1243443142 2486886284 3108607855 6217215710 12434431420