Search a number
-
+
114945645108 = 22372712939397
BaseRepresentation
bin110101100001101001…
…0110101101000110100
3101222200202111210001010
41223003102311220310
53340402041120413
6124445540032220
711206313601600
oct1530322655064
9358622453033
10114945645108
1144825902518
121a33b092670
13aabb007128
1457c5d76500
152ecb3b3dc3
hex1ac34b5a34

114945645108 has 144 divisors (see below), whose sum is σ = 317503234944. Its totient is φ = 32265112320.

The previous prime is 114945645071. The next prime is 114945645137. The reversal of 114945645108 is 801546549411.

It is a super-3 number, since 3×1149456451083 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12227466 + ... + 12236862.

It is an arithmetic number, because the mean of its divisors is an integer number (2204883576).

Almost surely, 2114945645108 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 114945645108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158751617472).

114945645108 is an abundant number, since it is smaller than the sum of its proper divisors (202557589836).

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

114945645108 is a wasteful number, since it uses less digits than its factorization.

114945645108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 114945645108 in words is "one hundred fourteen billion, nine hundred forty-five million, six hundred forty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 293 294 426 497 586 588 852 879 994 1172 1491 1758 1988 2051 2982 3479 3516 4102 5964 6153 6958 8204 9397 10437 12306 13916 14357 18794 20803 20874 24612 28191 28714 37588 41606 41748 43071 56382 57428 62409 65779 83212 86142 112764 124818 131558 145621 172284 197337 249636 263116 291242 394674 436863 460453 582484 667187 789348 873726 920906 1019347 1334374 1381359 1747452 1841812 2001561 2038694 2668748 2753321 2762718 3058041 4003122 4077388 4670309 5506642 5525436 6116082 8006244 8259963 9340618 11013284 12232164 14010927 16519926 18681236 19273247 28021854 32692163 33039852 38546494 56043708 57819741 65384326 77092988 98076489 115639482 130768652 134912729 195485791 196152978 231278964 269825458 390971582 392305956 404738187 539650916 586457373 781943164 809476374 1172914746 1368400537 1618952748 2345829492 2736801074 4105201611 5473602148 8210403222 9578803759 16420806444 19157607518 28736411277 38315215036 57472822554 114945645108