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34462041614 = 27111322335683
BaseRepresentation
bin100000000110000110…
…010000011000001110
310021221201102002202122
4200012012100120032
51031034240312424
623455345052542
72330000343350
oct400606203016
9107851362678
1034462041614
1113684a18a30
126819327152
13333293b400
14194ccb30d0
15d6a71a45e
hex80619060e

34462041614 has 96 divisors (see below), whose sum is σ = 70099271424. Its totient is φ = 12338576640.

The previous prime is 34462041611. The next prime is 34462041661. The reversal of 34462041614 is 41614026443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34462041611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6061217 + ... + 6066899.

It is an arithmetic number, because the mean of its divisors is an integer number (730200744).

Almost surely, 234462041614 is an apocalyptic number.

34462041614 is an abundant number, since it is smaller than the sum of its proper divisors (35637229810).

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

34462041614 is a wasteful number, since it uses less digits than its factorization.

34462041614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 34462041614 in words is "thirty-four billion, four hundred sixty-two million, forty-one thousand, six hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 233 286 338 466 1001 1183 1631 1859 2002 2366 2563 3029 3262 3718 5126 5683 6058 11366 13013 17941 21203 26026 33319 35882 39377 39781 42406 62513 66638 73879 78754 79562 125026 147758 233233 275639 433147 437591 466466 517153 551278 812669 866294 875182 960427 1034306 1324139 1625338 1920854 2648278 3032029 5688683 6064058 6722989 9268973 10564697 11377366 13445978 14565529 17213807 18537946 21129394 29131058 34427614 73952879 101958703 120496649 147905758 189351877 203917406 223779491 240993298 378703754 447558982 1325463139 1566456437 2461574401 2650926278 3132912874 4923148802 17231020807 34462041614