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133030553040 = 243357111515297
BaseRepresentation
bin111101111100100111…
…1010010010111010000
3110201101010110021212000
41323321033102113100
54134421310144130
6141040254234000
712416423020650
oct1737117222720
9421333407760
10133030553040
1151466308520
12219477b5900
13c7109c5998
14661db86360
1536d8e40260
hex1ef93d25d0

133030553040 has 640 divisors, whose sum is σ = 575174615040. Its totient is φ = 27454464000.

The previous prime is 133030552997. The next prime is 133030553059. The reversal of 133030553040 is 40355030331.

It is a happy number.

133030553040 is a `hidden beast` number, since 1 + 3 + 303 + 0 + 55 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133030552995 and 133030553013.

It is a congruent number.

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, 25111672 + ... + 25116968.

It is an arithmetic number, because the mean of its divisors is an integer number (898710336).

Almost surely, 2133030553040 is an apocalyptic number.

133030553040 is a gapful number since it is divisible by the number (10) 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 133030553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287587307520).

133030553040 is an abundant number, since it is smaller than the sum of its proper divisors (442144062000).

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

133030553040 is a wasteful number, since it uses less digits than its factorization.

133030553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 133030553040 its reverse (40355030331), we get a palindrome (173385583371).

The spelling of 133030553040 in words is "one hundred thirty-three billion, thirty million, five hundred fifty-three thousand, forty".