Search a number
-
+
4240163632056 = 233117123186119
BaseRepresentation
bin111101101100111101011…
…100100111001110111000
3120000100121021221021220120
4331230331130213032320
51023432323342211211
613003523154053240
7615225131125242
oct75547534471670
916010537837816
104240163632056
111395274914010
1258593227a220
13249acc05cb61
14109321625092
157546a489d06
hex3db3d7273b8

4240163632056 has 96 divisors (see below), whose sum is σ = 11729254723200. Its totient is φ = 1266800516800.

The previous prime is 4240163632027. The next prime is 4240163632097. The reversal of 4240163632056 is 6502363610424.

It is a happy number.

It is a super-2 number, since 2×42401636320562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4240163631999 and 4240163632017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262236 + ... + 2923883.

It is an arithmetic number, because the mean of its divisors is an integer number (122179736700).

Almost surely, 24240163632056 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 4240163632056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864627361600).

4240163632056 is an abundant number, since it is smaller than the sum of its proper divisors (7489091091144).

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

4240163632056 is a wasteful number, since it uses less digits than its factorization.

4240163632056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186281 (or 3186206 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 4240163632056 in words is "four trillion, two hundred forty billion, one hundred sixty-three million, six hundred thirty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 5041 6248 9372 10082 15123 18744 20164 30246 40328 55451 60492 110902 120984 166353 221804 332706 443608 665412 1330824 3186119 6372238 9558357 12744476 19116714 25488952 35047309 38233428 70094618 76466856 105141927 140189236 210283854 226214449 280378472 420567708 452428898 678643347 841135416 904857796 1357286694 1809715592 2488358939 2714573388 4976717878 5429146776 7465076817 9953435756 14930153634 16061225879 19906871512 29860307268 32122451758 48183677637 59720614536 64244903516 96367355274 128489807032 176673484669 192734710548 353346969338 385469421096 530020454007 706693938676 1060040908014 1413387877352 2120081816028 4240163632056