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2043412961040 = 2433511715412239
BaseRepresentation
bin11101101111000100111…
…001110101011100010000
321020100101221222202212000
4131233010321311130100
5231434402204223130
64202421515234000
7300426451404423
oct35570471653420
97210357882760
102043412961040
11718674387a90
1229003aa48900
1311a901729cb9
1470c8a43d9ba
153824942c260
hex1dbc4e75710

2043412961040 has 640 divisors, whose sum is σ = 7804300492800. Its totient is φ = 487275264000.

The previous prime is 2043412961027. The next prime is 2043412961069. The reversal of 2043412961040 is 401692143402.

2043412961040 is a `hidden beast` number, since 2 + 0 + 4 + 34 + 1 + 2 + 9 + 610 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2043412960986 and 2043412961004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 912644241 + ... + 912646479.

It is an arithmetic number, because the mean of its divisors is an integer number (12194219520).

Almost surely, 22043412961040 is an apocalyptic number.

2043412961040 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 2043412961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902150246400).

2043412961040 is an abundant number, since it is smaller than the sum of its proper divisors (5760887531760).

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

2043412961040 is a wasteful number, since it uses less digits than its factorization.

2043412961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2043412961040 in words is "two trillion, forty-three billion, four hundred twelve million, nine hundred sixty-one thousand, forty".