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2014211199792 = 2431123144325253
BaseRepresentation
bin11101010011111000010…
…101111101001100110000
321010120000211201121012010
4131103320111331030300
5231000101031343132
64141152120202520
7265344013465311
oct35237025751460
97116024647163
102014211199792
11707249791600
1228644b309440
13117c2984c22c
146d6ba022608
15375da92d6cc
hex1d4f857d330

2014211199792 has 240 divisors, whose sum is σ = 5917475257344. Its totient is φ = 589321075200.

The previous prime is 2014211199751. The next prime is 2014211199799. The reversal of 2014211199792 is 2979911124102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2014211199799) 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, 79748638 + ... + 79773890.

Almost surely, 22014211199792 is an apocalyptic number.

2014211199792 is a gapful number since it is divisible by the number (22) 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 2014211199792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958737628672).

2014211199792 is an abundant number, since it is smaller than the sum of its proper divisors (3903264057552).

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

2014211199792 is a wasteful number, since it uses less digits than its factorization.

2014211199792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25760 (or 25743 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 48.

The spelling of 2014211199792 in words is "two trillion, fourteen billion, two hundred eleven million, one hundred ninety-nine thousand, seven hundred ninety-two".