Search a number
-
+
9142483253220 = 2234531419834517
BaseRepresentation
bin1000010100001010011001…
…1101110111011111100100
31012101000100101012001010000
42011002212131313133210
52144242301203100340
631235555425101300
71632344154304002
oct205024635673744
935330311161100
109142483253220
112a0533a4a8159
121037a5b187830
13514195069695
142386da045a72
1510cc3c41bd30
hex850a67777e4

9142483253220 has 480 divisors, whose sum is σ = 30365137668096. Its totient is φ = 2298954700800.

The previous prime is 9142483253201. The next prime is 9142483253287. The reversal of 9142483253220 is 223523842419.

9142483253220 is a `hidden beast` number, since 9 + 1 + 42 + 48 + 32 + 532 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2024014402 + ... + 2024018918.

Almost surely, 29142483253220 is an apocalyptic number.

9142483253220 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 9142483253220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182568834048).

9142483253220 is an abundant number, since it is smaller than the sum of its proper divisors (21222654414876).

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

9142483253220 is a wasteful number, since it uses less digits than its factorization.

9142483253220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 9142483253220 in words is "nine trillion, one hundred forty-two billion, four hundred eighty-three million, two hundred fifty-three thousand, two hundred twenty".