Search a number
-
+
114240024110500 = 22536126934740127
BaseRepresentation
bin11001111110011010010100…
…000011100110010110100100
3112222111020110200221122102121
4121332122110003212112210
5104433202032133014000
61042545050443315324
733030366203016541
oct3176322403462644
9488436420848377
10114240024110500
1133444a16419632
1210990594b1bb44
134b98a32460982
14202d364c07bc8
15d319a27dcb1a
hex67e6940e65a4

114240024110500 has 192 divisors, whose sum is σ = 255272981483520. Its totient is φ = 44649644736000.

The previous prime is 114240024110491. The next prime is 114240024110507. The reversal of 114240024110500 is 5011420042411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114240024110507) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2846941437 + ... + 2846981563.

It is an arithmetic number, because the mean of its divisors is an integer number (1329546778560).

Almost surely, 2114240024110500 is an apocalyptic number.

114240024110500 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 114240024110500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127636490741760).

114240024110500 is an abundant number, since it is smaller than the sum of its proper divisors (141032957373020).

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

114240024110500 is a wasteful number, since it uses less digits than its factorization.

114240024110500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40823 (or 40811 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 114240024110500 its reverse (5011420042411), we get a palindrome (119251444152911).

The spelling of 114240024110500 in words is "one hundred fourteen trillion, two hundred forty billion, twenty-four million, one hundred ten thousand, five hundred".