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114242020511445 = 325193729312325099
BaseRepresentation
bin11001111110011100001011…
…000011010000111011010101
3112222111102121211112022200100
4121332130023003100323111
5104433220124222331240
61042550020521204313
733030466524111501
oct3176341303207325
9488442554468610
10114242020511445
1133445850328172
1210990a51630699
134b98c8cc47ac8
14202d4b4007301
15d31a6cbdde30
hex67e70b0d0ed5

114242020511445 has 96 divisors (see below), whose sum is σ = 214805786832000. Its totient is φ = 55970537836032.

The previous prime is 114242020511431. The next prime is 114242020511447. The reversal of 114242020511445 is 544115020242411.

It is a happy number.

114242020511445 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 2 + 0 + 205 + 1 + 1 + 445 = 666.

It is not a de Polignac number, because 114242020511445 - 25 = 114242020511413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114242020511447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3106506 + ... + 15431604.

It is an arithmetic number, because the mean of its divisors is an integer number (2237560279500).

Almost surely, 2114242020511445 is an apocalyptic number.

114242020511445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114242020511445 is a deficient number, since it is larger than the sum of its proper divisors (100563766320555).

114242020511445 is a wasteful number, since it uses less digits than its factorization.

114242020511445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325459 (or 12325456 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 114242020511445 its reverse (544115020242411), we get a palindrome (658357040753856).

The spelling of 114242020511445 in words is "one hundred fourteen trillion, two hundred forty-two billion, twenty million, five hundred eleven thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 19 37 45 57 95 111 171 185 285 293 333 555 703 855 879 1465 1665 2109 2637 3515 4395 5567 6327 10545 10841 13185 16701 27835 31635 32523 50103 54205 83505 97569 162615 205979 250515 487845 617937 1029895 1853811 3089685 9269055 12325099 36975297 61625495 110925891 184876485 234176881 456028663 554629455 702530643 1170884405 1368085989 2107591929 2280143315 3512653215 3611254007 4104257967 6840429945 8664544597 10537959645 10833762021 18056270035 20521289835 25993633791 32501286063 43322722985 54168810105 68613826133 77980901373 129968168955 133616398259 162506430315 205841478399 343069130665 389904506865 400849194777 617524435197 668081991295 1029207391995 1202547584331 2004245973885 2538711566921 3087622175985 6012737921655 7616134700763 12693557834605 22848404102289 38080673503815 114242020511445