Search a number
-
+
940069540080 = 24325111717214057
BaseRepresentation
bin11011010111000001000…
…00101101000011110000
310022212111001200121210100
431223200200231003300
5110400230300240310
61555510104432400
7124626541151046
oct15534040550360
93285431617710
10940069540080
11332754825380
12132237478700
136a857078a38
14336dccd6396
15196c019cec0
hexdae082d0f0

940069540080 has 480 divisors, whose sum is σ = 3649683780288. Its totient is φ = 214312550400.

The previous prime is 940069539991. The next prime is 940069540139. The reversal of 940069540080 is 80045960049.

It is a happy number.

940069540080 is a `hidden beast` number, since 9 + 40 + 0 + 69 + 540 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231713412 + ... + 231717468.

Almost surely, 2940069540080 is an apocalyptic number.

940069540080 is a gapful number since it is divisible by the number (90) 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 940069540080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824841890144).

940069540080 is an abundant number, since it is smaller than the sum of its proper divisors (2709614240208).

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

940069540080 is a wasteful number, since it uses less digits than its factorization.

940069540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5825 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 940069540080 in words is "nine hundred forty billion, sixty-nine million, five hundred forty thousand, eighty".