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4163065140 = 22351344911887
BaseRepresentation
bin1111100000100011…
…0101010100110100
3101202010112121202210
43320020311110310
532011221041030
61525032533420
7205110320103
oct37010652464
911663477683
104163065140
111846a3a503
12982251270
13514646370
142b6c8003a
15195735bb0
hexf8235534

4163065140 has 96 divisors (see below), whose sum is σ = 12582259200. Its totient is φ = 1022386176.

The previous prime is 4163065117. The next prime is 4163065199. The reversal of 4163065140 is 415603614.

It is a super-2 number, since 2×41630651402 = 34662222719766439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4163065098 and 4163065107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344277 + ... + 356163.

It is an arithmetic number, because the mean of its divisors is an integer number (131065200).

Almost surely, 24163065140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4163065140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291129600).

4163065140 is an abundant number, since it is smaller than the sum of its proper divisors (8419194060).

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

4163065140 is a wasteful number, since it uses less digits than its factorization.

4163065140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4163065140 is about 64521.8191002083. The cubic root of 4163065140 is about 1608.6852092607.

Adding to 4163065140 its reverse (415603614), we get a palindrome (4578668754).

The spelling of 4163065140 in words is "four billion, one hundred sixty-three million, sixty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 449 780 898 1347 1796 2245 2694 4490 5388 5837 6735 8980 11674 11887 13470 17511 23348 23774 26940 29185 35022 35661 47548 58370 59435 70044 71322 87555 116740 118870 142644 154531 175110 178305 237740 309062 350220 356610 463593 618124 713220 772655 927186 1545310 1854372 2317965 3090620 4635930 5337263 9271860 10674526 16011789 21349052 26686315 32023578 53372630 64047156 69384419 80058945 106745260 138768838 160117890 208153257 277537676 320235780 346922095 416306514 693844190 832613028 1040766285 1387688380 2081532570 4163065140