Search a number
-
+
1120978970040 = 2335193759225221
BaseRepresentation
bin10000010011111111100…
…011011010010110111000
310222011102221200212102010
4100103333203122112320
5121331231104020130
62214545353405520
7143662622013336
oct20237743322670
93864387625363
101120978970040
113a244a44a766
121613057098a0
1381928238c07
143c3817c4b56
151e25c6470b0
hex104ff8da5b8

1120978970040 has 256 divisors, whose sum is σ = 3697244352000. Its totient is φ = 270869391360.

The previous prime is 1120978970029. The next prime is 1120978970081. The reversal of 1120978970040 is 400798790211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4864630 + ... + 5089850.

It is an arithmetic number, because the mean of its divisors is an integer number (14442360750).

Almost surely, 21120978970040 is an apocalyptic number.

1120978970040 is a gapful number since it is divisible by the number (10) 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 1120978970040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848622176000).

1120978970040 is an abundant number, since it is smaller than the sum of its proper divisors (2576265381960).

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

1120978970040 is a wasteful number, since it uses less digits than its factorization.

1120978970040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225350 (or 225346 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 1120978970040 in words is "one trillion, one hundred twenty billion, nine hundred seventy-eight million, nine hundred seventy thousand, forty".