Search a number
-
+
840248939952 = 243253717432087
BaseRepresentation
bin11000011101000101011…
…11010101010110110000
32222022211101121201220100
430032202233111112300
5102231312212034302
61442001030512400
7114464103101202
oct14164257252660
92868741551810
10840248939952
112a4390692034
12116a19805700
136130978cc86
142c94da14772
1516ccba9dd1c
hexc3a2bd55b0

840248939952 has 240 divisors, whose sum is σ = 2434079351808. Its totient is φ = 270433712640.

The previous prime is 840248939921. The next prime is 840248940073. The reversal of 840248939952 is 259939842048.

840248939952 is a `hidden beast` number, since 8 + 402 + 4 + 8 + 93 + 99 + 52 = 666.

840248939952 is digitally balanced in base 2 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 3×8402489399523 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 840248939952.

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, 402609853 + ... + 402611939.

Almost surely, 2840248939952 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 840248939952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217039675904).

840248939952 is an abundant number, since it is smaller than the sum of its proper divisors (1593830411856).

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

840248939952 is a wasteful number, since it uses less digits than its factorization.

840248939952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 840248939952 in words is "eight hundred forty billion, two hundred forty-eight million, nine hundred thirty-nine thousand, nine hundred fifty-two".