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1040067230688 = 25334334780677
BaseRepresentation
bin11110010001010001101…
…01100111101111100000
310200102121001222122011000
433020220311213233200
5114020024202340223
62113444510152000
7135066556410453
oct17105065475740
93612531878130
101040067230688
113710a9923392
121496a44b2600
137710225a275
14384a791549a
151c0c40cd543
hexf228d67be0

1040067230688 has 192 divisors, whose sum is σ = 3113060670720. Its totient is φ = 337646486016.

The previous prime is 1040067230687. The next prime is 1040067230711. The reversal of 1040067230688 is 8860327600401.

1040067230688 is a `hidden beast` number, since 1 + 0 + 400 + 6 + 7 + 230 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040067230687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12851406 + ... + 12932082.

It is an arithmetic number, because the mean of its divisors is an integer number (16213857660).

Almost surely, 21040067230688 is an apocalyptic number.

1040067230688 is a gapful number since it is divisible by the number (18) 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 1040067230688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556530335360).

1040067230688 is an abundant number, since it is smaller than the sum of its proper divisors (2072993440032).

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

1040067230688 is a wasteful number, since it uses less digits than its factorization.

1040067230688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81086 (or 81072 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1040067230688 in words is "one trillion, forty billion, sixty-seven million, two hundred thirty thousand, six hundred eighty-eight".