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114583343028 = 223721173242677
BaseRepresentation
bin110101010110110110…
…0110000111110110100
3101221202111202221000120
41222231230300332310
53334131313434103
6124345554411540
711164324226400
oct1525554607664
9357674687016
10114583343028
114465a345610
121a259890bb0
13aa60c345bb
14578dbc6100
152ea969a253
hex1aadb30fb4

114583343028 has 144 divisors (see below), whose sum is σ = 343934910144. Its totient is φ = 29354088960.

The previous prime is 114583342963. The next prime is 114583343029. The reversal of 114583343028 is 820343385411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114583343029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350826 + ... + 593502.

It is an arithmetic number, because the mean of its divisors is an integer number (2388436876).

Almost surely, 2114583343028 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 114583343028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171967455072).

114583343028 is an abundant number, since it is smaller than the sum of its proper divisors (229351567116).

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

114583343028 is a wasteful number, since it uses less digits than its factorization.

114583343028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242782 (or 242773 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 114583343028 in words is "one hundred fourteen billion, five hundred eighty-three million, three hundred forty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 73 77 84 98 132 146 147 154 196 219 231 292 294 308 438 462 511 539 588 803 876 924 1022 1078 1533 1606 1617 2044 2156 2409 3066 3212 3234 3577 4818 5621 6132 6468 7154 9636 10731 11242 14308 16863 21462 22484 33726 39347 42924 67452 78694 118041 157388 236082 242677 472164 485354 728031 970708 1456062 1698739 2669447 2912124 3397478 5096217 5338894 6794956 8008341 10192434 10677788 11891173 16016682 17715421 18686129 20384868 23782346 32033364 35430842 35673519 37372258 47564692 53146263 56058387 70861684 71347038 74744516 106292526 112116774 124007947 130802903 142694076 194869631 212585052 224233548 248015894 261605806 372023841 389739262 392408709 496031788 523211612 584608893 744047682 779478524 784817418 868055629 1169217786 1364087417 1488095364 1569634836 1736111258 2338435572 2604166887 2728174834 3472222516 4092262251 5208333774 5456349668 8184524502 9548611919 10416667548 16369049004 19097223838 28645835757 38194447676 57291671514 114583343028