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1141074704 = 247118311159
BaseRepresentation
bin100010000000011…
…0110101100010000
32221112010121020002
41010000312230100
54314103342304
6305121105132
740163655260
oct10400665420
92845117202
101141074704
1153611a350
1227a1881a8
13152532743
14ab7917a0
156a29b31e
hex44036b10

1141074704 has 80 divisors (see below), whose sum is σ = 2789821440. Its totient is φ = 439178880.

The previous prime is 1141074677. The next prime is 1141074713. The reversal of 1141074704 is 4074701411.

Together with 1648746735 it forms a betrothed pair.

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, 96677 + ... + 107835.

It is an arithmetic number, because the mean of its divisors is an integer number (34872768).

Almost surely, 21141074704 is an apocalyptic number.

1141074704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141074704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394910720).

1141074704 is an abundant number, since it is smaller than the sum of its proper divisors (1648746736).

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

1141074704 is a wasteful number, since it uses less digits than its factorization.

1141074704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 1141074704 is about 33779.7972758867. The cubic root of 1141074704 is about 1044.9720936055.

It can be divided in two parts, 114107 and 4704, that added together give a palindrome (118811).

The spelling of 1141074704 in words is "one billion, one hundred forty-one million, seventy-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 83 88 112 154 166 176 308 332 581 616 664 913 1162 1232 1328 1826 2324 3652 4648 6391 7304 9296 11159 12782 14608 22318 25564 44636 51128 78113 89272 102256 122749 156226 178544 245498 312452 490996 624904 859243 926197 981992 1249808 1718486 1852394 1963984 3436972 3704788 6483379 6873944 7409576 10188167 12966758 13747888 14819152 20376334 25933516 40752668 51867032 71317169 81505336 103734064 142634338 163010672 285268676 570537352 1141074704