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4091143968 = 253237692
BaseRepresentation
bin1111001111011001…
…1110011100100000
3101120010012122110200
43303312132130200
531334313101333
61513543225200
7203245102302
oct36366363440
911503178420
104091143968
11180a38701a
12962148200
13502784262
142ab4bb972
1518e27ac13
hexf3d9e720

4091143968 has 54 divisors (see below), whose sum is σ = 11637278289. Its totient is φ = 1363352832.

The previous prime is 4091143967. The next prime is 4091144003. The reversal of 4091143968 is 8693411904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3587051664 + 504092304 = 59892^2 + 22452^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45228.

It is not an unprimeable number, because it can be changed into a prime (4091143967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1083588 + ... + 1087356.

Almost surely, 24091143968 is an apocalyptic number.

4091143968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4091143968 is an abundant number, since it is smaller than the sum of its proper divisors (7546134321).

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

4091143968 is an frugal number, since it uses more digits than its factorization.

4091143968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4091143968 is about 63962.0509990103. The cubic root of 4091143968 is about 1599.3674541282.

The spelling of 4091143968 in words is "four billion, ninety-one million, one hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3769 7538 11307 15076 22614 30152 33921 45228 60304 67842 90456 120608 135684 180912 271368 361824 542736 1085472 14205361 28410722 42616083 56821444 85232166 113642888 127848249 170464332 227285776 255696498 340928664 454571552 511392996 681857328 1022785992 1363714656 2045571984 4091143968