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34210042241344 = 262371327331237
BaseRepresentation
bin1111100011101001001010…
…11010100110000101000000
311111010110002122220212021021
413301310211122212011000
513440444131303210334
6200431513151235224
710130410511113024
oct761644532460500
9144113078825237
1034210042241344
11a99a440a9a432
123a06175b18b14
131611cbac14098
14863abc3a8384
153e4d35b5c3b4
hex1f1d256a6140

34210042241344 has 56 divisors (see below), whose sum is σ = 71834804166528. Its totient is φ = 16130883310080.

The previous prime is 34210042241233. The next prime is 34210042241363. The reversal of 34210042241344 is 44314224001243.

It is a super-2 number, since 2×342100422413442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163561107 + ... + 163770130.

Almost surely, 234210042241344 is an apocalyptic number.

It is an amenable number.

34210042241344 is an abundant number, since it is smaller than the sum of its proper divisors (37624761925184).

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

34210042241344 is a wasteful number, since it uses less digits than its factorization.

34210042241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327331343 (or 327331333 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 34210042241344 its reverse (44314224001243), we get a palindrome (78524266242587).

The spelling of 34210042241344 in words is "thirty-four trillion, two hundred ten billion, forty-two million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 142 184 284 368 568 736 1136 1472 1633 2272 3266 4544 6532 13064 26128 52256 104512 327331237 654662474 1309324948 2618649896 5237299792 7528618451 10474599584 15057236902 20949199168 23240517827 30114473804 46481035654 60228947608 92962071308 120457895216 185924142616 240915790432 371848285232 481831580864 534531910021 743696570464 1069063820042 1487393140928 2138127640084 4276255280168 8552510560336 17105021120672 34210042241344