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1104433500114 = 2327219910216163
BaseRepresentation
bin10000000100100101010…
…111011100111111010010
310220120201212110220112200
4100010211113130333102
5121043334434000424
62203211510504030
7142535614566600
oct20044527347722
93816655426480
101104433500114
11396429a1127a
1215a068665016
13801bc46a419
143b652222870
151daded058c9
hex101255dcfd2

1104433500114 has 144 divisors (see below), whose sum is σ = 2800805716800. Its totient is φ = 313608335040.

The previous prime is 1104433500103. The next prime is 1104433500127. The reversal of 1104433500114 is 4110053344011.

1104433500114 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 43 + 3 + 500 + 114 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 179200797 + ... + 179206959.

It is an arithmetic number, because the mean of its divisors is an integer number (19450039700).

Almost surely, 21104433500114 is an apocalyptic number.

1104433500114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104433500114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400402858400).

1104433500114 is an abundant number, since it is smaller than the sum of its proper divisors (1696372216686).

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

1104433500114 is a wasteful number, since it uses less digits than its factorization.

1104433500114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7405 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1104433500114 its reverse (4110053344011), we get a palindrome (5214486844125).

The spelling of 1104433500114 in words is "one trillion, one hundred four billion, four hundred thirty-three million, five hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 199 294 398 441 597 882 1021 1194 1393 1791 2042 2786 3063 3582 4179 6126 6163 7147 8358 9189 9751 12326 12537 14294 18378 18489 19502 21441 25074 29253 36978 42882 43141 50029 55467 58506 64323 86282 87759 100058 110934 128646 129423 150087 175518 203179 258846 300174 301987 388269 406358 450261 603974 609537 776538 900522 905961 1219074 1226437 1422253 1811922 1828611 2452874 2717883 2844506 3657222 3679311 4266759 5435766 6292423 7358622 8533518 8585059 9955771 11037933 12584846 12800277 17170118 18877269 19911542 22075866 25600554 25755177 29867313 37754538 44046961 51510354 56631807 59734626 60095413 77265531 88093922 89601939 113263614 120190826 132140883 154531062 179203878 180286239 264281766 308328727 360572478 396422649 540858717 616657454 792845298 924986181 1081717434 1252192177 1849972362 2504384354 2774958543 3756576531 5549917086 7513153062 8765345239 11269729593 17530690478 22539459186 26296035717 52592071434 61357416673 78888107151 122714833346 157776214302 184072250019 368144500038 552216750057 1104433500114