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114182219580 = 2235111313307951
BaseRepresentation
bin110101001010111001…
…0100110011100111100
3101220201112222202002120
41222111302212130330
53332321122011310
6124242105122540
711151353565312
oct1522562463474
9356645882076
10114182219580
1144473982630
121a167489450
13a9c8abb850
14575280c0b2
152e84363b70
hex1a95ca673c

114182219580 has 96 divisors (see below), whose sum is σ = 375603637248. Its totient is φ = 25551264000.

The previous prime is 114182219573. The next prime is 114182219581. The reversal of 114182219580 is 85912281411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114182219581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6645396 + ... + 6662555.

It is an arithmetic number, because the mean of its divisors is an integer number (3912537888).

Almost surely, 2114182219580 is an apocalyptic number.

114182219580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114182219580 is an abundant number, since it is smaller than the sum of its proper divisors (261421417668).

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

114182219580 is a wasteful number, since it uses less digits than its factorization.

114182219580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13307987 (or 13307985 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 114182219580 in words is "one hundred fourteen billion, one hundred eighty-two million, two hundred nineteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 13307951 26615902 39923853 53231804 66539755 79847706 133079510 146387461 159695412 173003363 199619265 266159020 292774922 346006726 399238530 439162383 519010089 585549844 692013452 731937305 798477060 865016815 878324766 1038020178 1463874610 1730033630 1756649532 1903036993 2076040356 2195811915 2595050445 2927749220 3460067260 3806073986 4391623830 5190100890 5709110979 7612147972 8783247660 9515184965 10380201780 11418221958 19030369930 22836443916 28545554895 38060739860 57091109790 114182219580