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314424202112 = 2710126639133
BaseRepresentation
bin1001001001101010010…
…01001001001110000000
31010001120202121102012222
410210311021021032000
520122420043431422
6400240001510212
731500503422616
oct4446511111600
91101522542188
10314424202112
1111138a2a0899
1250b30042368
132385b2a4047
141130aabd6b6
1582a3b86842
hex4935249380

314424202112 has 64 divisors (see below), whose sum is σ = 632900705760. Its totient is φ = 155580057600.

The previous prime is 314424202097. The next prime is 314424202181. The reversal of 314424202112 is 211202424413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34422698 + ... + 34431830.

Almost surely, 2314424202112 is an apocalyptic number.

314424202112 is a gapful number since it is divisible by the number (32) 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 314424202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316450352880).

314424202112 is an abundant number, since it is smaller than the sum of its proper divisors (318476503648).

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

314424202112 is a wasteful number, since it uses less digits than its factorization.

314424202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11911 (or 11899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 314424202112 its reverse (211202424413), we get a palindrome (525626626525).

The spelling of 314424202112 in words is "three hundred fourteen billion, four hundred twenty-four million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 2663 3232 5326 6464 9133 10652 12928 18266 21304 36532 42608 73064 85216 146128 170432 268963 292256 340864 537926 584512 922433 1075852 1169024 1844866 2151704 3689732 4303408 7379464 8606816 14758928 17213632 24321179 29517856 34427264 48642358 59035712 97284716 118071424 194569432 389138864 778277728 1556555456 2456439079 3113110912 4912878158 9825756316 19651512632 39303025264 78606050528 157212101056 314424202112