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13421469312 = 27352373257
BaseRepresentation
bin11000111111111101…
…10101111010000000
31021122100212021200000
430133332311322000
5204441344004222
610055444400000
7653411415066
oct143776657200
937570767600
1013421469312
1157680845a9
1227269a6000
13135b7bc424
1491471c036
155384569ac
hex31ffb5e80

13421469312 has 384 divisors, whose sum is σ = 42530866560. Its totient is φ = 4204265472.

The previous prime is 13421469301. The next prime is 13421469317. The reversal of 13421469312 is 21396412431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (13421469317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52223488 + ... + 52223744.

It is an arithmetic number, because the mean of its divisors is an integer number (110757465).

Almost surely, 213421469312 is an apocalyptic number.

13421469312 is a gapful number since it is divisible by the number (12) 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 13421469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265433280).

13421469312 is an abundant number, since it is smaller than the sum of its proper divisors (29109397248).

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

13421469312 is an equidigital number, since it uses as much as digits as its factorization.

13421469312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 13421469312 in words is "thirteen billion, four hundred twenty-one million, four hundred sixty-nine thousand, three hundred twelve".