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32344043130216 = 23322323383825867
BaseRepresentation
bin1110101101010101011110…
…01100111000110101101000
311020112001121222101110200100
413112222233030320311220
513214411100020131331
6152442352010305400
76545531353300236
oct726525714706550
9136461558343610
1032344043130216
11a340039159804
1237645aa728260
1315080513c76cc
147db6624c9956
153b1521d91ae6
hex1d6aaf338d68

32344043130216 has 96 divisors (see below), whose sum is σ = 91799384564160. Its totient is φ = 10268333281536.

The previous prime is 32344043130173. The next prime is 32344043130241. The reversal of 32344043130216 is 61203134044323.

It is a happy number.

32344043130216 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 4 + 0 + 431 + 3 + 0 + 216 = 666.

It is a super-2 number, since 2×323440431302162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41527086 + ... + 42298781.

It is an arithmetic number, because the mean of its divisors is an integer number (956243589210).

Almost surely, 232344043130216 is an apocalyptic number.

32344043130216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32344043130216 is an abundant number, since it is smaller than the sum of its proper divisors (59455341433944).

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

32344043130216 is a wasteful number, since it uses less digits than its factorization.

32344043130216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83826135 (or 83826128 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 32344043130216 its reverse (61203134044323), we get a palindrome (93547177174539).

The spelling of 32344043130216 in words is "thirty-two trillion, three hundred forty-four billion, forty-three million, one hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 233 276 414 466 552 699 828 932 1398 1656 1864 2097 2796 4194 5359 5592 8388 10718 16077 16776 21436 32154 42872 48231 64308 96462 128616 192924 385848 83825867 167651734 251477601 335303468 502955202 670606936 754432803 1005910404 1508865606 1927994941 2011820808 3017731212 3855989882 5783984823 6035462424 7711979764 11567969646 15423959528 17351954469 19531427011 23135939292 34703908938 39062854022 46271878584 58594281033 69407817876 78125708044 117188562066 138815635752 156251416088 175782843099 234377124132 351565686198 449222821253 468754248264 703131372396 898445642506 1347668463759 1406262744792 1796891285012 2695336927518 3593782570024 4043005391277 5390673855036 8086010782554 10781347710072 16172021565108 32344043130216