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34240042033040 = 2454334928520059
BaseRepresentation
bin1111100100100001000011…
…00010101101111110010000
311111020022112101211011220102
413302100201202231332100
513441442101230024130
6200453354055031532
710132522106123414
oct762204142557620
9144208471734812
1034240042033040
11aa01136100a08
123a0bb4896b5a8
131614a8c23540c
1486532679ad44
153e59de744645
hex1f24218adf90

34240042033040 has 80 divisors (see below), whose sum is σ = 81692859864000. Its totient is φ = 13339173367296.

The previous prime is 34240042033027. The next prime is 34240042033049. The reversal of 34240042033040 is 4033024004243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34240042032994 and 34240042033012.

It is not an unprimeable number, because it can be changed into a prime (34240042033049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13059470 + ... + 15460589.

It is an arithmetic number, because the mean of its divisors is an integer number (1021160748300).

Almost surely, 234240042033040 is an apocalyptic number.

It is an amenable number.

34240042033040 is an abundant number, since it is smaller than the sum of its proper divisors (47452817830960).

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

34240042033040 is a wasteful number, since it uses less digits than its factorization.

34240042033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28520464 (or 28520458 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 34240042033040 its reverse (4033024004243), we get a palindrome (38273066037283).

The spelling of 34240042033040 in words is "thirty-four trillion, two hundred forty billion, forty-two million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 349 430 688 698 860 1396 1720 1745 2792 3440 3490 5584 6980 13960 15007 27920 30014 60028 75035 120056 150070 240112 300140 600280 1200560 28520059 57040118 114080236 142600295 228160472 285200590 456320944 570401180 1140802360 1226362537 2281604720 2452725074 4905450148 6131812685 9810900296 9953500591 12263625370 19621800592 19907001182 24527250740 39814002364 49054501480 49767502955 79628004728 98109002960 99535005910 159256009456 199070011820 398140023640 428000525413 796280047280 856001050826 1712002101652 2140002627065 3424004203304 4280005254130 6848008406608 8560010508260 17120021016520 34240042033040