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114573623322039 = 3731734177757709
BaseRepresentation
bin11010000011010001000000…
…000111100110010110110111
3120000200010112210201110120220
4122003101000013212112313
5110004133240032301124
61043402221304225423
733063446123360160
oct3203210007462667
9500603483643526
10114573623322039
1133563445489852
1210a2517676b273
134bc132821992b
1420415703ba767
15d3a4c9a7d879
hex6834401e65b7

114573623322039 has 64 divisors (see below), whose sum is σ = 182696571002880. Its totient is φ = 62488179855360.

The previous prime is 114573623322017. The next prime is 114573623322149. The reversal of 114573623322039 is 930223326375411.

It is not a de Polignac number, because 114573623322039 - 28 = 114573623321783 is a prime.

It is a super-3 number, since 3×1145736233220393 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 114573623321982 and 114573623322000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114573623327039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985339517 + ... + 1985397225.

It is an arithmetic number, because the mean of its divisors is an integer number (2854633921920).

Almost surely, 2114573623322039 is an apocalyptic number.

114573623322039 is a deficient number, since it is larger than the sum of its proper divisors (68122947680841).

114573623322039 is a wasteful number, since it uses less digits than its factorization.

114573623322039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99600.

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 114573623322039 in words is "one hundred fourteen trillion, five hundred seventy-three billion, six hundred twenty-three million, three hundred twenty-two thousand, thirty-nine".

Divisors: 1 3 7 21 31 73 93 217 219 511 651 1533 2263 6789 15841 41777 47523 57709 125331 173127 292439 403963 877317 1211889 1295087 1788979 3049721 3885261 4212757 5366937 9065609 9149163 12522853 12638271 21348047 27196827 29489299 37568559 64044141 88467897 94541351 130595467 283624053 391786401 661789457 914168269 1985368371 2410908893 2742504807 7232726679 16876362251 50629086753 74738175683 175996349189 224214527049 523167229781 527989047567 1231974444323 1569501689343 3695923332969 5455886824859 16367660474577 38191207774013 114573623322039