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114242101154415 = 33513117155589423
BaseRepresentation
bin11001111110011100001111…
…110110111001001001101111
3112222111102211110021102001000
4121332130033312321021233
5104433220310343420130
61042550032521451343
733030501523423263
oct3176341766711157
9488442743242030
10114242101154415
11334458918a8453
1210990a74640b53
134b98ca3871a40
14202d4c09da0a3
15d31a74d1d260
hex67e70fdb926f

114242101154415 has 64 divisors (see below), whose sum is σ = 218906704558080. Its totient is φ = 56194234911360.

The previous prime is 114242101154329. The next prime is 114242101154443. The reversal of 114242101154415 is 514451101242411.

114242101154415 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 2 + 101 + 1 + 544 + 1 + 5 = 666.

It is not a de Polignac number, because 114242101154415 - 224 = 114242084377199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114242101154415.

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, 25739607 + ... + 29849816.

It is an arithmetic number, because the mean of its divisors is an integer number (3420417258720).

Almost surely, 2114242101154415 is an apocalyptic number.

114242101154415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114242101154415 is a deficient number, since it is larger than the sum of its proper divisors (104664603403665).

114242101154415 is a wasteful number, since it uses less digits than its factorization.

114242101154415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55590621 (or 55590615 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 114242101154415 its reverse (514451101242411), we get a palindrome (628693202396826).

The spelling of 114242101154415 in words is "one hundred fourteen trillion, two hundred forty-two billion, one hundred one million, one hundred fifty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1171 1755 3513 5855 10539 15223 17565 31617 45669 52695 76115 137007 158085 228345 411021 685035 2055105 55589423 166768269 277947115 500304807 722662499 833841345 1500914421 2167987497 2501524035 3613312495 6503962491 7504572105 10839937485 19511887473 32519812455 65095214333 97559437365 195285642999 325476071665 585856928997 846237786329 976428214995 1757570786991 2538713358987 2929284644985 4231188931645 7616140076961 8787853934955 12693566794935 22848420230883 38080700384805 114242101154415