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34425652443 = 37131737433463
BaseRepresentation
bin100000000011111011…
…011100010011011011
310021212011221100012120
4200003323130103123
51031000431334233
623452005112323
72326046134440
oct400373342333
9107764840176
1034425652443
1113666424236
1268090b86a3
13332823a260
14194811d9c7
15d6742d4b3
hex803edc4db

34425652443 has 128 divisors (see below), whose sum is σ = 61708050432. Its totient is φ = 16554295296.

The previous prime is 34425652441. The next prime is 34425652447.

It is a happy number.

34425652443 is nontrivially palindromic in base 10.

34425652443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34425652443 - 21 = 34425652441 is a prime.

It is a super-2 number, since 2×344256524432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34425652395 and 34425652404.

It is not an unprimeable number, because it can be changed into a prime (34425652441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74353230 + ... + 74353692.

It is an arithmetic number, because the mean of its divisors is an integer number (482094144).

Almost surely, 234425652443 is an apocalyptic number.

34425652443 is a deficient number, since it is larger than the sum of its proper divisors (27282397989).

34425652443 is a wasteful number, since it uses less digits than its factorization.

34425652443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973.

The product of its digits is 1382400, while the sum is 42.

The spelling of 34425652443 in words is "thirty-four billion, four hundred twenty-five million, six hundred fifty-two thousand, four hundred forty-three".

Divisors: 1 3 7 13 17 21 37 39 51 91 111 119 221 259 273 357 433 463 481 629 663 777 1299 1389 1443 1547 1887 3031 3241 3367 4403 4641 5629 6019 7361 7871 8177 9093 9723 10101 13209 16021 16887 17131 18057 22083 23613 24531 39403 42133 48063 51393 51527 55097 57239 95693 102323 112147 118209 119917 126399 154581 165291 171717 200479 208273 222703 272357 287079 291227 306969 336441 359751 601437 624819 668109 669851 716261 817071 873681 1403353 1457911 1558921 1906499 2009553 2038589 2148783 2606227 3408143 3540641 3785951 4210059 4373733 4676763 5719497 6115767 7417723 7818681 10224429 10621923 11357853 18243589 22253169 23857001 24784487 26501657 44305859 51924061 54730767 71571003 74353461 79504971 96430399 126101291 132917577 155772183 289291197 310141013 378303873 675012793 882709037 930423039 1639316783 2025038379 2648127111 4917950349 11475217481 34425652443