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4134020204314 = 2711213394347609
BaseRepresentation
bin111100001010000110110…
…011100100011100011010
3112122012121222100111010001
4330022012303210130122
51020212433133014224
612443050452043214
7604446605643550
oct74120663443432
915565558314101
104134020204314
1113542566a4800
1256924b00350a
1323cab4847090
141041326dbbd0
1572806c35544
hex3c286ce471a

4134020204314 has 96 divisors (see below), whose sum is σ = 8391237361920. Its totient is φ = 1486352229120.

The previous prime is 4134020204233. The next prime is 4134020204339.

4134020204314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86808942 + ... + 86856550.

It is an arithmetic number, because the mean of its divisors is an integer number (87408722520).

Almost surely, 24134020204314 is an apocalyptic number.

4134020204314 is an abundant number, since it is smaller than the sum of its proper divisors (4257217157606).

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

4134020204314 is a wasteful number, since it uses less digits than its factorization.

4134020204314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51596 (or 51585 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4134020 and 204314, that added together give a palindrome (4338334).

The spelling of 4134020204314 in words is "four trillion, one hundred thirty-four billion, twenty million, two hundred four thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 3943 7886 11011 22022 27601 43373 47609 51259 55202 86746 95218 102518 303611 333263 358813 477103 523699 563849 607222 618917 666526 717626 954206 1047398 1127698 1237834 3339721 3665893 3946943 4332419 5760689 6202339 6679442 6808087 7331786 7893886 8664838 11521378 12404678 13616174 40324823 43416373 47656609 74888957 80649646 86832746 95313218 149777914 187722287 375444574 524222699 1048445398 1314056009 2064945157 2440389731 2628112018 4129890314 4880779462 14454616099 17082728117 22714396727 26844287041 28909232198 34165456234 45428793454 53688574082 159000777089 187910009287 295287157451 318001554178 375820018574 590574314902 2067010102157 4134020204314