Search a number
-
+
34515716143460 = 2253737489617809
BaseRepresentation
bin1111101100100010100001…
…11111111111100101100100
311112012200002121021222111012
413312101100333333211210
514011001141313042320
6201224145012001352
710161451423320146
oct766212077774544
9145180077258435
1034515716143460
11aaa803aa38332
123a55463600258
131634a833a3b06
148747d8cb0c96
153ecc764dc4c5
hex1f6450fff964

34515716143460 has 48 divisors (see below), whose sum is σ = 72687150505200. Its totient is φ = 13767411400704.

The previous prime is 34515716143423. The next prime is 34515716143471. The reversal of 34515716143460 is 6434161751543.

It can be written as a sum of positive squares in 8 ways, for example, as 1662918569764 + 32852797573696 = 1289542^2 + 5731736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34515716143399 and 34515716143408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55559036 + ... + 56176844.

It is an arithmetic number, because the mean of its divisors is an integer number (1514315635525).

Almost surely, 234515716143460 is an apocalyptic number.

It is an amenable number.

34515716143460 is an abundant number, since it is smaller than the sum of its proper divisors (38171434361740).

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

34515716143460 is a wasteful number, since it uses less digits than its factorization.

34515716143460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625680 (or 625678 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 34515716143460 in words is "thirty-four trillion, five hundred fifteen billion, seven hundred sixteen million, one hundred forty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 7489 14978 29956 37445 74890 149780 617809 1235618 2471236 2793397 3089045 5586794 6178090 11173588 12356180 13966985 27933970 55867940 230442757 460885514 921771028 1152213785 2304427570 4608855140 4626771601 9253543202 18507086404 23133858005 46267716010 92535432020 1725785807173 3451571614346 6903143228692 8628929035865 17257858071730 34515716143460