Search a number
-
+
121465794240 = 2633573172411
BaseRepresentation
bin111000100011111101…
…1001110111011000000
3102121112011022200012000
41301013323032323000
53442230220403430
6131444533304000
711530015134000
oct1610773167300
9377464280160
10121465794240
114757130201a
121b65a795000
13b5b9a9123b
145c43ca4000
15325d9e4e60
hex1c47eceec0

121465794240 has 896 divisors, whose sum is σ = 529327872000. Its totient is φ = 26119618560.

The previous prime is 121465794239. The next prime is 121465794319. The reversal of 121465794240 is 42497564121.

121465794240 is a `hidden beast` number, since 1 + 214 + 6 + 5 + 7 + 9 + 424 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50378635 + ... + 50381045.

Almost surely, 2121465794240 is an apocalyptic number.

121465794240 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 121465794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264663936000).

121465794240 is an abundant number, since it is smaller than the sum of its proper divisors (407862077760).

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

121465794240 is a wasteful number, since it uses less digits than its factorization.

121465794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 121465794240 in words is "one hundred twenty-one billion, four hundred sixty-five million, seven hundred ninety-four thousand, two hundred forty".