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34440122420406 = 23279727132125219
BaseRepresentation
bin1111101010010101101110…
…10000110100110010110110
311111221102222100100222010200
413311022313100310302312
514003231332314423111
6201125323540101330
710153134224266053
oct765126720646266
9144842870328120
1034440122420406
11aa78a7928834a
123a42887394846
13162a8c70bc081
14870ca740602a
153eaceec97256
hex1f52b7434cb6

34440122420406 has 96 divisors (see below), whose sum is σ = 75729050342400. Its totient is φ = 11310115639680.

The previous prime is 34440122420371. The next prime is 34440122420513. The reversal of 34440122420406 is 60402422104443.

34440122420406 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 0 + 1 + 2 + 242 + 0 + 406 = 666.

It is a super-2 number, since 2×344401224204062 (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 47 ways as a sum of consecutive naturals, for example, 1365629265 + ... + 1365654483.

It is an arithmetic number, because the mean of its divisors is an integer number (788844274400).

Almost surely, 234440122420406 is an apocalyptic number.

34440122420406 is an abundant number, since it is smaller than the sum of its proper divisors (41288927921994).

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

34440122420406 is a wasteful number, since it uses less digits than its factorization.

34440122420406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27354 (or 27351 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34440122420406 its reverse (60402422104443), we get a palindrome (94842544524849).

The spelling of 34440122420406 in words is "thirty-four trillion, four hundred forty billion, one hundred twenty-two million, four hundred twenty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 727 1321 1422 1454 2181 2642 3963 4362 6543 7926 11889 13086 23778 25219 50438 57433 75657 104359 114866 151314 172299 208718 226971 313077 344598 453942 516897 626154 939231 960367 1033794 1878462 1920734 1992301 2881101 3984602 5762202 5976903 8643303 11953806 17286606 17930709 18334213 33314299 35861418 36668426 55002639 66628598 75868993 99942897 110005278 151737986 165007917 199885794 227606979 299828691 330015834 455213958 599657382 682820937 1365641874 1448402827 2631829621 2896805654 4345208481 5263659242 7895488863 8690416962 13035625443 15790977726 23686466589 24219495373 26071250886 47372933178 48438990746 72658486119 145316972238 217975458357 435950916714 1913340134467 3826680268934 5740020403401 11480040806802 17220061210203 34440122420406