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34214614005 = 35112131798101
BaseRepresentation
bin11111110111010110…
…011001001111110101
310021022110211110220010
4133313112121033311
51030032420122010
623415025530433
72320604264145
oct376726311765
9107273743803
1034214614005
1113568291a00
12676a4a3a19
1332c35b9840
1419280a6925
15d53b43620
hex7f75993f5

34214614005 has 96 divisors (see below), whose sum is σ = 65171191680. Its totient is φ = 15225408000.

The previous prime is 34214613973. The next prime is 34214614009. The reversal of 34214614005 is 50041641243.

It is not a de Polignac number, because 34214614005 - 25 = 34214613973 is a prime.

It is a super-2 number, since 2×342146140052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214614009) 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, 4219455 + ... + 4227555.

It is an arithmetic number, because the mean of its divisors is an integer number (678866580).

Almost surely, 234214614005 is an apocalyptic number.

It is an amenable number.

34214614005 is a deficient number, since it is larger than the sum of its proper divisors (30956577675).

34214614005 is a wasteful number, since it uses less digits than its factorization.

34214614005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 34214614005 in words is "thirty-four billion, two hundred fourteen million, six hundred fourteen thousand, five".

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 179 195 363 429 537 605 715 895 1573 1815 1969 2145 2327 2685 4719 5907 6981 7865 8101 9845 11635 21659 23595 24303 25597 29535 34905 40505 64977 76791 89111 105313 108295 121515 127985 267333 281567 315939 324885 383955 445555 526565 844701 980221 1158443 1336665 1407835 1450079 1579695 2940663 3475329 4223505 4350237 4901105 5792215 7250395 12742873 14703315 15950869 17376645 18851027 21751185 38228619 47852607 56553081 63714365 79754345 94255135 175459559 191143095 207361297 239263035 282765405 526378677 622083891 877297795 1036806485 2280974267 2631893385 3110419455 6842922801 11404871335 34214614005