Search a number
-
+
2203427543040 = 2113353128293
BaseRepresentation
bin100000000100000110100…
…001000001100000000000
321210122102122122202121000
4200010012201001200000
5242100104422334130
64404123551132000
7315122663042643
oct40040641014000
97718378582530
102203427543040
1177a51744a889
122b7057514000
1312ca22a00c09
1478909c6ba5a
153c4b22ea260
hex20106841800

2203427543040 has 576 divisors, whose sum is σ = 8094283797600. Its totient is φ = 568557895680.

The previous prime is 2203427543033. The next prime is 2203427543063. The reversal of 2203427543040 is 403457243022.

2203427543040 is a `hidden beast` number, since 2 + 2 + 0 + 342 + 7 + 5 + 4 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2203427542986 and 2203427543004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265693134 + ... + 265701426.

Almost surely, 22203427543040 is an apocalyptic number.

2203427543040 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 2203427543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047141898800).

2203427543040 is an abundant number, since it is smaller than the sum of its proper divisors (5890856254560).

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

2203427543040 is an equidigital number, since it uses as much as digits as its factorization.

2203427543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 2203427543040 in words is "two trillion, two hundred three billion, four hundred twenty-seven million, five hundred forty-three thousand, forty".