Search a number
-
+
4234302334440 = 2332547512475679
BaseRepresentation
bin111101100111100000000…
…101100010010111101000
3112222210110210212112010200
4331213200011202113220
51023333322344200230
613001113414112200
7614626646664063
oct75474005422750
915883423775120
104234302334440
1113928373093a2
1258477734b660
132493a6938909
14108d26ddd8da
1575225aee160
hex3d9e01625e8

4234302334440 has 96 divisors (see below), whose sum is σ = 13764384691200. Its totient is φ = 1128909168000.

The previous prime is 4234302334399. The next prime is 4234302334441. The reversal of 4234302334440 is 444332034324.

4234302334440 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 302 + 3 + 344 + 4 + 0 = 666.

It is a super-2 number, since 2×42343023344402 (a number of 26 digits) contains 22 as substring.

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 = 4234302334395 and 4234302334404.

It is not an unprimeable number, because it can be changed into a prime (4234302334441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472521 + ... + 2948199.

It is an arithmetic number, because the mean of its divisors is an integer number (143379007200).

Almost surely, 24234302334440 is an apocalyptic number.

4234302334440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234302334440 is an abundant number, since it is smaller than the sum of its proper divisors (9530082356760).

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

4234302334440 is a wasteful number, since it uses less digits than its factorization.

4234302334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480447 (or 2480440 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 4234302334440 its reverse (444332034324), we get a palindrome (4678634368764).

The spelling of 4234302334440 in words is "four trillion, two hundred thirty-four billion, three hundred two million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4751 9502 14253 19004 23755 28506 38008 42759 47510 57012 71265 85518 95020 114024 142530 171036 190040 213795 285060 342072 427590 570120 855180 1710360 2475679 4951358 7427037 9902716 12378395 14854074 19805432 22281111 24756790 29708148 37135185 44562222 49513580 59416296 74270370 89124444 99027160 111405555 148540740 178248888 222811110 297081480 445622220 891244440 11761950929 23523901858 35285852787 47047803716 58809754645 70571705574 94095607432 105857558361 117619509290 141143411148 176429263935 211715116722 235239018580 282286822296 352858527870 423430233444 470478037160 529287791805 705717055740 846860466888 1058575583610 1411434111480 2117151167220 4234302334440