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114710743026 = 233115317872039
BaseRepresentation
bin110101011010101001…
…0110000011111110010
3101222002101111111222000
41222311102300133302
53334411422234101
6124410345154430
711200432141065
oct1526522603762
9358071444860
10114710743026
1144715251070
121a29448ba16
13aa8144c809
1457a2aaa8dc
152eb5963486
hex1ab54b07f2

114710743026 has 128 divisors (see below), whose sum is σ = 283631155200. Its totient is φ = 34069164480.

The previous prime is 114710743009. The next prime is 114710743087. The reversal of 114710743026 is 620347017411.

114710743026 is a `hidden beast` number, since 114 + 7 + 107 + 430 + 2 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56257315 + ... + 56259353.

It is an arithmetic number, because the mean of its divisors is an integer number (2215868400).

Almost surely, 2114710743026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114710743026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141815577600).

114710743026 is an abundant number, since it is smaller than the sum of its proper divisors (168920412174).

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

114710743026 is a wasteful number, since it uses less digits than its factorization.

114710743026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 114710743026 in words is "one hundred fourteen billion, seven hundred ten million, seven hundred forty-three thousand, twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 954 1166 1431 1749 1787 2039 2862 3498 3574 4078 5247 5361 6117 10494 10722 12234 15741 16083 18351 19657 22429 31482 32166 36702 39314 44858 48249 55053 58971 67287 94711 96498 108067 110106 117942 134574 176913 189422 201861 216134 284133 324201 353826 403722 530739 568266 605583 648402 852399 972603 1041821 1061478 1188737 1211166 1704798 1945206 2083642 2377474 2557197 2917809 3125463 3566211 3643693 5114394 5835618 6250926 7132422 7287386 9376389 10698633 10931079 18752778 21397266 21862158 28129167 32095899 32793237 40080623 56258334 64191798 65586474 80161246 98379711 120241869 193115729 196759422 240483738 360725607 386231458 579347187 721451214 1082176821 1158694374 1738041561 2124273019 2164353642 3476083122 4248546038 5214124683 6372819057 10428249366 12745638114 19118457171 38236914342 57355371513 114710743026