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5342110583040 = 283357211229231
BaseRepresentation
bin100110110111100111010…
…0110101000100100000000
3200220200220212112102022000
41031233032212220210000
51200011120302124130
615210044241344000
71060645323510600
oct115571646504400
920820825472260
105342110583040
11177a638179100
12723406038000
132c99b32ca31a
141467b94d8c00
1593e61d20260
hex4dbce9a8900

5342110583040 has 3888 divisors, whose sum is σ = 25913541588480. Its totient is φ = 1037198131200.

The previous prime is 5342110583027. The next prime is 5342110583057. The reversal of 5342110583040 is 403850112435.

5342110583040 is a `hidden beast` number, since 5 + 3 + 4 + 21 + 10 + 583 + 0 + 40 = 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 = 5342110582986 and 5342110583004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 172326147825 + ... + 172326147855.

Almost surely, 25342110583040 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 5342110583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956770794240).

5342110583040 is an abundant number, since it is smaller than the sum of its proper divisors (20571431005440).

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

5342110583040 is a wasteful number, since it uses less digits than its factorization.

5342110583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 5342110583040 its reverse (403850112435), we get a palindrome (5745960695475).

The spelling of 5342110583040 in words is "five trillion, three hundred forty-two billion, one hundred ten million, five hundred eighty-three thousand, forty".