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114000424335 = 32572940131121
BaseRepresentation
bin110101000101011110…
…1000110110110001111
3101220020212220120220100
41222022331012312033
53331433102034320
6124212052422143
711144015422110
oct1521275066617
9356225816810
10114000424335
11443902a4126
121a116617953
13a99a2397b5
145736608207
152e73403790
hex1a8af46d8f

114000424335 has 96 divisors (see below), whose sum is σ = 234206743680. Its totient is φ = 50190336000.

The previous prime is 114000424283. The next prime is 114000424427. The reversal of 114000424335 is 533424000411.

It is a happy number.

114000424335 is a `hidden beast` number, since 11 + 400 + 0 + 4 + 243 + 3 + 5 = 666.

It is not a de Polignac number, because 114000424335 - 212 = 114000420239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114000424299 and 114000424308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3647575 + ... + 3678695.

It is an arithmetic number, because the mean of its divisors is an integer number (2439653580).

Almost surely, 2114000424335 is an apocalyptic number.

114000424335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114000424335 is an abundant number, since it is smaller than the sum of its proper divisors (120206319345).

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

114000424335 is a wasteful number, since it uses less digits than its factorization.

114000424335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31569 (or 31566 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 114000424335 its reverse (533424000411), we get a palindrome (647424424746).

The spelling of 114000424335 in words is "one hundred fourteen billion, four hundred twenty-four thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 401 435 609 1015 1203 1305 1827 2005 2807 3045 3609 6015 8421 9135 11629 14035 18045 25263 31121 34887 42105 58145 81403 93363 104661 126315 155605 174435 217847 244209 280089 407015 466815 523305 653541 732627 902509 1089235 1221045 1400445 1960623 2707527 3267705 3663135 4512545 6317563 8122581 9803115 12479521 13537635 18952689 31587815 37438563 40612905 56858067 62397605 87356647 94763445 112315689 187192815 262069941 284290335 361906109 436783235 561578445 786209823 1085718327 1310349705 1809530545 2533342763 3257154981 3931049115 5428591635 7600028289 12666713815 16285774905 22800084867 38000141445 114000424335