Search a number
-
+
111440442420342 = 23374717336258269
BaseRepresentation
bin11001010101101010111111…
…111110111110110001110110
3112121120121021001002101201000
4121111222333332332301312
5104101320011224422332
61033003011003544130
732321210023210620
oct3125527776766166
9477517231071630
10111440442420342
1132565698555472
12105b9aa282b046
134a24a33802569
141d73a637a1c10
15cd3c4d0ebb7c
hex655abffbec76

111440442420342 has 128 divisors (see below), whose sum is σ = 290715908198400. Its totient is φ = 30982544972928.

The previous prime is 111440442420323. The next prime is 111440442420397. The reversal of 111440442420342 is 243024244044111.

111440442420342 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 0 + 442 + 4 + 203 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 111440442420297 and 111440442420306.

It is a congruent 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, 15055617 + ... + 21202652.

It is an arithmetic number, because the mean of its divisors is an integer number (2271218032800).

Almost surely, 2111440442420342 is an apocalyptic number.

111440442420342 is an abundant number, since it is smaller than the sum of its proper divisors (179275465778058).

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

111440442420342 is a wasteful number, since it uses less digits than its factorization.

111440442420342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36258507 (or 36258501 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 111440442420342 its reverse (243024244044111), we get a palindrome (354464686464453).

The spelling of 111440442420342 in words is "one hundred eleven trillion, four hundred forty billion, four hundred forty-two million, four hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 173 189 282 329 346 378 423 519 658 846 987 1038 1211 1269 1557 1974 2422 2538 2961 3114 3633 4671 5922 7266 8131 8883 9342 10899 16262 17766 21798 24393 32697 48786 56917 65394 73179 113834 146358 170751 219537 341502 439074 512253 1024506 1536759 3073518 36258269 72516538 108774807 217549614 253807883 326324421 507615766 652648842 761423649 978973263 1522847298 1704138643 1957946526 2284270947 3408277286 4568541894 5112415929 6272680537 6852812841 10224831858 11928970501 12545361074 13705625682 15337247787 18818041611 23857941002 30674495574 35786911503 37636083222 43908763759 46011743361 56454124833 71573823006 87817527518 92023486722 107360734509 112908249666 131726291277 169362374499 214721469018 263452582554 294815985239 322082203527 338724748998 395178873831 589631970478 644164407054 790357747662 884447955717 1185536621493 1768895911434 2063711896673 2371073242986 2653343867151 4127423793346 5306687734302 6191135690019 7960031601453 12382271380038 15920063202906 18573407070057 37146814140114 55720221210171 111440442420342