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34043211345 = 351113103154087
BaseRepresentation
bin11111101101001000…
…100010111001010001
310020212112022022122110
4133231020202321101
51024210030230340
623350024055533
72313423344013
oct375510427121
9106775268573
1034043211345
111348a561610
1267210045a9
133296c35c50
14190d40a1b3
15d43a87680
hex7ed222e51

34043211345 has 64 divisors (see below), whose sum is σ = 64613412864. Its totient is φ = 15088101120.

The previous prime is 34043211343. The next prime is 34043211383. The reversal of 34043211345 is 54311234043.

It is not a de Polignac number, because 34043211345 - 21 = 34043211343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34043211343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143892 + ... + 297978.

It is an arithmetic number, because the mean of its divisors is an integer number (1009584576).

Almost surely, 234043211345 is an apocalyptic number.

It is an amenable number.

34043211345 is a deficient number, since it is larger than the sum of its proper divisors (30570201519).

34043211345 is a wasteful number, since it uses less digits than its factorization.

34043211345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154222.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34043211345 its reverse (54311234043), we get a palindrome (88354445388).

The spelling of 34043211345 in words is "thirty-four billion, forty-three million, two hundred eleven thousand, three hundred forty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 103 143 165 195 309 429 515 715 1133 1339 1545 2145 3399 4017 5665 6695 14729 16995 20085 44187 73645 154087 220935 462261 770435 1694957 2003131 2311305 5084871 6009393 8474785 10015655 15870961 22034441 25424355 30046965 47612883 66103323 79354805 110172205 174580571 206322493 238064415 330516615 523741713 618967479 872902855 1031612465 2269547423 2618708565 3094837395 6808642269 11347737115 34043211345