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34440344233212 = 22341487345741579
BaseRepresentation
bin1111101010010110001000…
…11110111110010011111100
311111221110112210202020002210
413311023010132332103330
514003232311110430322
6201125401542220420
710153142556542451
oct765130436762374
9144843483666083
1034440344233212
11aa79082509615
123a42929724710
13162a931042958
14870cc8a65828
153ead144ae70c
hex1f52c47be4fc

34440344233212 has 96 divisors (see below), whose sum is σ = 82515705592320. Its totient is φ = 11173611847680.

The previous prime is 34440344233199. The next prime is 34440344233219. The reversal of 34440344233212 is 21233244304443.

It is a happy number.

It is a super-2 number, since 2×344403442332122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440344233219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828290239 + ... + 828331817.

It is an arithmetic number, because the mean of its divisors is an integer number (859538599920).

Almost surely, 234440344233212 is an apocalyptic number.

It is an amenable number.

34440344233212 is an abundant number, since it is smaller than the sum of its proper divisors (48075361359108).

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

34440344233212 is a wasteful number, since it uses less digits than its factorization.

34440344233212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45571 (or 45569 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 34440344233212 its reverse (21233244304443), we get a palindrome (55673588537655).

The spelling of 34440344233212 in words is "thirty-four trillion, four hundred forty billion, three hundred forty-four million, two hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 487 492 974 1461 1948 2922 3457 5844 6914 10371 13828 19967 20742 39934 41484 41579 59901 79868 83158 119802 124737 141737 166316 239604 249474 283474 425211 498948 566948 850422 1683559 1700844 1704739 3367118 3409478 5050677 5114217 6734236 6818956 10101354 10228434 20202708 20248973 20456868 40497946 60746919 69025919 80995892 121493838 138051838 143738603 207077757 242987676 276103676 287477206 414155514 431215809 574954412 828311028 830207893 862431618 1660415786 1724863236 2490623679 3320831572 4981247358 5893282723 9962494716 11786565446 17679848169 23573130892 35359696338 70000699661 70719392676 140001399322 210002098983 280002798644 420004197966 840008395932 2870028686101 5740057372202 8610086058303 11480114744404 17220172116606 34440344233212