Search a number
-
+
614522065014224 = 241913782340014481
BaseRepresentation
bin1000101110111001111001000…
…1011001000100110111010000
32222120211201212022020200221022
42023232132101121010313100
51121021312142120423344
610014551312300415012
7243303516433215623
oct21356362131046720
92876751768220838
10614522065014224
11168895387163874
1258b0a5b0247468
13204b824a044973
14aba7053185dba
154b0a1e0dc10ee
hex22ee791644dd0

614522065014224 has 160 divisors (see below), whose sum is σ = 1264581791228160. Its totient is φ = 288477020160000.

The previous prime is 614522065014173. The next prime is 614522065014227. The reversal of 614522065014224 is 422410560225416.

It is a happy number.

It is a super-2 number, since 2×6145220650142242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614522065014227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137139490064 + ... + 137139494544.

It is an arithmetic number, because the mean of its divisors is an integer number (7903636195176).

Almost surely, 2614522065014224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 614522065014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632290895614080).

614522065014224 is an abundant number, since it is smaller than the sum of its proper divisors (650059726213936).

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

614522065014224 is a wasteful number, since it uses less digits than its factorization.

614522065014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 614522065014224 in words is "six hundred fourteen trillion, five hundred twenty-two billion, sixty-five million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 137 152 274 304 548 823 1096 1646 2192 2603 3292 4001 4481 5206 6584 8002 8962 10412 13168 15637 16004 17924 20824 31274 32008 35848 41648 62548 64016 71696 76019 85139 112751 125096 152038 170278 225502 250192 304076 340556 451004 548137 608152 613897 681112 902008 1096274 1216304 1227794 1362224 1804016 2142269 2192548 2455588 3292823 3687863 4284538 4385096 4911176 6585646 7375726 8569076 8770192 9822352 10414603 11664043 13171292 14751452 17138152 17928481 20829206 23328086 26342584 29502904 34276304 35856962 41658412 46656172 52685168 59005808 62563637 70069397 71713924 83316824 93312344 125127274 140138794 143427848 166633648 186624688 250254548 280277588 286855696 340641139 451116751 500509096 505237231 560555176 681282278 902233502 1001018192 1010474462 1121110352 1362564556 1804467004 2020948924 2456201897 2725129112 3608934008 4041897848 4912403794 5450258224 7217868016 8083795696 8571218269 9599507389 9824807588 14755139863 17142436538 19199014778 19649615176 29510279726 34284873076 38398029556 39299230352 46667836043 59020559452 68569746152 76796059112 93335672086 118041118904 137139492304 153592118224 186671344172 236082237808 280347657397 373342688344 560695314794 746685376688 1121390629588 2021454161231 2242781259176 4042908322462 4485562518352 8085816644924 16171633289848 32343266579696 38407629063389 76815258126778 153630516253556 307261032507112 614522065014224