Search a number
-
+
242499059712 = 21734713251
BaseRepresentation
bin1110000111011000010…
…0100000000000000000
3212011221011202121110000
43201312010200000000
512433114224402322
6303222540240000
723343231666120
oct3416604400000
9764834677400
10242499059712
1193930440848
123abb8540000
1319b38061ba0
14ba46536c80
15649454d3ac
hex3876120000

242499059712 has 720 divisors, whose sum is σ = 895245607872. Its totient is φ = 63700992000.

The previous prime is 242499059659. The next prime is 242499059723. The reversal of 242499059712 is 217950994242.

It is a happy number.

242499059712 is a `hidden beast` number, since 2 + 4 + 2 + 49 + 9 + 0 + 597 + 1 + 2 = 666.

It is a super-2 number, since 2×2424990597122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 966131587 + ... + 966131837.

Almost surely, 2242499059712 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 242499059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447622803936).

242499059712 is an abundant number, since it is smaller than the sum of its proper divisors (652746548160).

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

242499059712 is an frugal number, since it uses more digits than its factorization.

242499059712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 242499059712 in words is "two hundred forty-two billion, four hundred ninety-nine million, fifty-nine thousand, seven hundred twelve".