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2014030212432 = 2437194097271061
BaseRepresentation
bin11101010011101101100…
…011100010110101010000
321010112120020011111012120
4131103231203202311100
5230444213213244212
64141122133054240
7265336355225340
oct35235543426520
97115506144176
102014030212432
11707166605077
122863ba787380
13117bcb1c0b14
146d69dd8cd20
15375c9acc88c
hex1d4ed8e2d50

2014030212432 has 320 divisors, whose sum is σ = 6288997478400. Its totient is φ = 542558269440.

The previous prime is 2014030212427. The next prime is 2014030212487. The reversal of 2014030212432 is 2342120304102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1898237182 + ... + 1898238242.

It is an arithmetic number, because the mean of its divisors is an integer number (19653117120).

Almost surely, 22014030212432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014030212432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144498739200).

2014030212432 is an abundant number, since it is smaller than the sum of its proper divisors (4274967265968).

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

2014030212432 is a wasteful number, since it uses less digits than its factorization.

2014030212432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2014030212432 its reverse (2342120304102), we get a palindrome (4356150516534).

The spelling of 2014030212432 in words is "two trillion, fourteen billion, thirty million, two hundred twelve thousand, four hundred thirty-two".