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114032011302 = 233111732514421
BaseRepresentation
bin110101000110011010…
…1100110100000100110
3101220100002100101002000
41222030311212200212
53332014143330202
6124215141430130
711144551050306
oct1521465464046
9356302311060
10114032011302
11443a7108960
121a12510b346
13a9a3948c01
14573a8ab606
152e7609291c
hex1a8cd66826

114032011302 has 128 divisors (see below), whose sum is σ = 279210032640. Its totient is φ = 34210800000.

The previous prime is 114032011279. The next prime is 114032011319. The reversal of 114032011302 is 203110230411.

114032011302 is a `hidden beast` number, since 1 + 1 + 40 + 320 + 1 + 1 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25791052 + ... + 25795472.

It is an arithmetic number, because the mean of its divisors is an integer number (2181328380).

Almost surely, 2114032011302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114032011302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139605016320).

114032011302 is an abundant number, since it is smaller than the sum of its proper divisors (165178021338).

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

114032011302 is a wasteful number, since it uses less digits than its factorization.

114032011302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114032011302 its reverse (203110230411), we get a palindrome (317142241713).

The spelling of 114032011302 in words is "one hundred fourteen billion, thirty-two million, eleven thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 173 198 251 297 346 502 519 594 753 1038 1506 1557 1903 2259 2761 3114 3806 4421 4518 4671 5522 5709 6777 8283 8842 9342 11418 13263 13554 16566 17127 24849 26526 34254 39789 43423 48631 49698 51381 74547 79578 86846 97262 102762 119367 130269 145893 149094 238734 260538 291786 390807 437679 477653 764833 781614 875358 955306 1109671 1172421 1313037 1432959 1529666 2219342 2294499 2344842 2626074 2865918 3329013 4298877 4588998 6658026 6883497 8413163 8597754 9987039 12206381 12896631 13766994 16826326 19974078 20650491 24412762 25239489 25793262 29961117 36619143 41300982 50478978 59922234 73238286 75718467 109857429 151436934 191973083 219714858 227155401 329572287 383946166 454310802 575919249 659144574 1151838498 1727757747 2111703913 3455515494 4223407826 5183273241 6335111739 10366546482 12670223478 19005335217 38010670434 57016005651 114032011302