Search a number
-
+
80489943392040 = 2334572133110931151
BaseRepresentation
bin10010010011010010000110…
…011110111101111100101000
3101112222202121112210010020000
4102103102012132331330220
541022221401002021130
6443104323003503000
722645130555206200
oct2223220636757450
9345882545703200
1080489943392040
1123712658749196
12903b5a7227a60
1335bb2276627a0
1415c3a3c31b400
15948adc72b260
hex4934867bdf28

80489943392040 has 1920 divisors, whose sum is σ = 350469759467520. Its totient is φ = 16405369344000.

The previous prime is 80489943392011. The next prime is 80489943392063. The reversal of 80489943392040 is 4029334998408.

80489943392040 is a `hidden beast` number, since 8 + 0 + 4 + 8 + 9 + 94 + 339 + 204 + 0 = 666.

80489943392040 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×804899433920403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 69930445465 + ... + 69930446615.

It is an arithmetic number, because the mean of its divisors is an integer number (182536333056).

Almost surely, 280489943392040 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 80489943392040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175234879733760).

80489943392040 is an abundant number, since it is smaller than the sum of its proper divisors (269979816075480).

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

80489943392040 is a wasteful number, since it uses less digits than its factorization.

80489943392040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 80489943392040 in words is "eighty trillion, four hundred eighty-nine billion, nine hundred forty-three million, three hundred ninety-two thousand, forty".