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1069440060240 = 243351921371499
BaseRepresentation
bin11111000111111111001…
…10000100101101010000
310210020102010010222102000
433203333212010231100
5120010203123411430
62135143255554000
7140156502345156
oct17437746045520
93706363128360
101069440060240
11382602040a32
1215332138b900
1379b03702696
1439a929433d6
151cc42b1de60
hexf8ff984b50

1069440060240 has 240 divisors, whose sum is σ = 3887708760000. Its totient is φ = 270174134016.

The previous prime is 1069440060239. The next prime is 1069440060257. The reversal of 1069440060240 is 420600449601.

1069440060240 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 4 + 4 + 0 + 0 + 602 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10694400602402 (a number of 25 digits) contains 22 as substring.

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 = 1069440060195 and 1069440060204.

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, 94011 + ... + 1465509.

It is an arithmetic number, because the mean of its divisors is an integer number (16198786500).

Almost surely, 21069440060240 is an apocalyptic number.

1069440060240 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 1069440060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943854380000).

1069440060240 is an abundant number, since it is smaller than the sum of its proper divisors (2818268699760).

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

1069440060240 is a wasteful number, since it uses less digits than its factorization.

1069440060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371559 (or 1371528 counting only the distinct ones).

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

The spelling of 1069440060240 in words is "one trillion, sixty-nine billion, four hundred forty million, sixty thousand, two hundred forty".