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114318228792560 = 2451317311094194567
BaseRepresentation
bin11001111111100011001001…
…011010110010010011110000
3112222202201022220212010012112
4121333203021122302103300
5104440442213032330220
61043045022545144452
733036135164604212
oct3177431132622360
9488681286763175
10114318228792560
11334750a7979781
12109a377b62b128
134ba3216654880
1420330633685b2
15d33a2d37a5c5
hex67f8c96b24f0

114318228792560 has 640 divisors, whose sum is σ = 316542140006400. Its totient is φ = 37993421537280.

The previous prime is 114318228792541. The next prime is 114318228792563. The reversal of 114318228792560 is 65297822813411.

It is a super-2 number, since 2×1143182287925602 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114318228792560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114318228792563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25031359397 + ... + 25031363963.

It is an arithmetic number, because the mean of its divisors is an integer number (494597093760).

It is a 1-persistent number, because it is pandigital, but 2⋅114318228792560 = 228636457585120 is not.

Almost surely, 2114318228792560 is an apocalyptic number.

114318228792560 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 114318228792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158271070003200).

114318228792560 is an abundant number, since it is smaller than the sum of its proper divisors (202223911213840).

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

114318228792560 is a wasteful number, since it uses less digits than its factorization.

114318228792560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 114318228792560 in words is "one hundred fourteen trillion, three hundred eighteen billion, two hundred twenty-eight million, seven hundred ninety-two thousand, five hundred sixty".