Search a number
-
+
1034116312545 = 325471074569569
BaseRepresentation
bin11110000110001100010…
…00101010110111100001
310122212020100021200010100
433003012020222313201
5113420332234000140
62111022205253013
7134466236424051
oct17030610526741
93585210250110
101034116312545
11369625776518
12148503564169
13766943b7a24
14380a1441561
151bd7693d530
hexf0c622ade1

1034116312545 has 48 divisors (see below), whose sum is σ = 1847714768640. Its totient is φ = 534749125632.

The previous prime is 1034116312529. The next prime is 1034116312571. The reversal of 1034116312545 is 5452136114301.

1034116312545 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 11 + 631 + 2 + 5 + 4 + 5 = 666.

It is not a de Polignac number, because 1034116312545 - 24 = 1034116312529 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058480 + ... + 2511089.

It is an arithmetic number, because the mean of its divisors is an integer number (38494057680).

Almost surely, 21034116312545 is an apocalyptic number.

1034116312545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1034116312545 is a deficient number, since it is larger than the sum of its proper divisors (813598456095).

1034116312545 is a wasteful number, since it uses less digits than its factorization.

1034116312545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569734 (or 4569731 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1034116312545 in words is "one trillion, thirty-four billion, one hundred sixteen million, three hundred twelve thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 47 107 141 235 321 423 535 705 963 1605 2115 4815 5029 15087 25145 45261 75435 226305 4569569 13708707 22847845 41126121 68543535 205630605 214769743 488943883 644309229 1073848715 1466831649 1932927687 2444719415 3221546145 4400494947 7334158245 9664638435 22002474735 22980362501 68941087503 114901812505 206823262509 344705437515 1034116312545