Search a number
-
+
70331040000 = 283254132172
BaseRepresentation
bin100000110000000001…
…1101000000100000000
320201112111021000101100
41001200003220010000
52123014221240000
652150514134400
75036603655564
oct1014003500400
9221474230340
1070331040000
1127911047351
1211769881400
13682abc2900
1435929896a4
151c69701a00
hex10600e8100

70331040000 has 1215 divisors, whose sum is σ = 291477309123. Its totient is φ = 16293888000.

The previous prime is 70331039959. The next prime is 70331040007. The reversal of 70331040000 is 4013307.

The square root of 70331040000 is 265200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 60705075456 + 9625964544 = 246384^2 + 98112^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (70331040007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4137119992 + ... + 4137120008.

Almost surely, 270331040000 is an apocalyptic number.

70331040000 is the 265200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70331040000

70331040000 is an abundant number, since it is smaller than the sum of its proper divisors (221146269123).

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

70331040000 is a wasteful number, since it uses less digits than its factorization.

70331040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 70331040000 its reverse (4013307), we get a palindrome (70335053307).

The spelling of 70331040000 in words is "seventy billion, three hundred thirty-one million, forty thousand".