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2043138034080 = 25335111317257757
BaseRepresentation
bin11101101110110100100…
…001000100100110100000
321020022200210200000222000
4131232310201010212200
5231433321314042310
64202334334444000
7300416602513203
oct35566441044640
97208623600860
102043138034080
11718543179320
1228bb82963600
1311a88979a720
1470c61b1593a
15382302224c0
hex1dbb48449a0

2043138034080 has 1536 divisors, whose sum is σ = 8941749304320. Its totient is φ = 428070666240.

The previous prime is 2043138034073. The next prime is 2043138034087. The reversal of 2043138034080 is 804308313402.

It is a happy number.

2043138034080 is a `hidden beast` number, since 204 + 3 + 1 + 38 + 0 + 340 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2043138034073) and next prime (2043138034087).

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

It is not an unprimeable number, because it can be changed into a prime (2043138034087) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2698993062 + ... + 2698993818.

It is an arithmetic number, because the mean of its divisors is an integer number (5821451370).

Almost surely, 22043138034080 is an apocalyptic number.

2043138034080 is a gapful number since it is divisible by the number (20) 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 2043138034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470874652160).

2043138034080 is an abundant number, since it is smaller than the sum of its proper divisors (6898611270240).

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

2043138034080 is a wasteful number, since it uses less digits than its factorization.

2043138034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2043138034080 in words is "two trillion, forty-three billion, one hundred thirty-eight million, thirty-four thousand, eighty".