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9480091140 = 223251317238313
BaseRepresentation
bin10001101010000111…
…01011011000000100
3220110200110112020200
420311003223120010
5123403400404030
64204411130500
7453632305452
oct106503533004
926420415220
109480091140
11402529a873
121a06a43a30
13b810845b0
1465d0a79d2
153a7410d60
hex2350eb604

9480091140 has 144 divisors (see below), whose sum is σ = 32790099888. Its totient is φ = 2196283392.

The previous prime is 9480091139. The next prime is 9480091147. The reversal of 9480091140 is 411900849.

It can be written as a sum of positive squares in 8 ways, for example, as 569108736 + 8910982404 = 23856^2 + 94398^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9480091095 and 9480091104.

It is not an unprimeable number, because it can be changed into a prime (9480091147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79377 + ... + 158936.

It is an arithmetic number, because the mean of its divisors is an integer number (227709027).

Almost surely, 29480091140 is an apocalyptic number.

9480091140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9480091140 is an abundant number, since it is smaller than the sum of its proper divisors (23310008748).

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

9480091140 is a wasteful number, since it uses less digits than its factorization.

9480091140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238358 (or 238353 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9480091140 is about 97365.7595872389. The cubic root of 9480091140 is about 2116.4312763912.

Adding to 9480091140 its reverse (411900849), we get a palindrome (9891991989).

The spelling of 9480091140 in words is "nine billion, four hundred eighty million, ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 238313 476626 714939 953252 1191565 1429878 2144817 2383130 2859756 3098069 3574695 4051321 4289634 4766260 6196138 7149390 8102642 8579268 9294207 10724085 12153963 12392276 14298780 15490345 16205284 18588414 20256605 21448170 24307926 27882621 30980690 36461889 37176828 40513210 42896340 46471035 48615852 52667173 55765242 60769815 61961380 72923778 81026420 92942070 105334346 111530484 121539630 139413105 145847556 158001519 182309445 185884140 210668692 243079260 263335865 278826210 316003038 364618890 474004557 526671730 557652420 632006076 729237780 790007595 948009114 1053343460 1580015190 1896018228 2370022785 3160030380 4740045570 9480091140