Search a number
-
+
440230324133232 = 243220391499340377
BaseRepresentation
bin110010000011000110001110…
…0000101101101110101110000
32010201201121102012200101112100
41210012030130011231311300
5430200213200434230412
64200143004032500400
7161504406552563643
oct14406143405556560
92121647365611470
10440230324133232
111182a86a5212aa6
124145b7049aa700
1315b847066c7089
147a9d393305a5a
1535d66035c2edc
hex190631c16dd70

440230324133232 has 60 divisors (see below), whose sum is σ = 1232637711561360. Its totient is φ = 146671472941824.

The previous prime is 440230324133209. The next prime is 440230324133273. The reversal of 440230324133232 is 232331423032044.

440230324133232 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 3 + 0 + 3 + 2 + 413 + 3 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749376573 + ... + 749963804.

It is an arithmetic number, because the mean of its divisors is an integer number (20543961859356).

Almost surely, 2440230324133232 is an apocalyptic number.

It is an amenable number.

440230324133232 is an abundant number, since it is smaller than the sum of its proper divisors (792407387428128).

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

440230324133232 is a wasteful number, since it uses less digits than its factorization.

440230324133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499342430 (or 1499342421 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 440230324133232 its reverse (232331423032044), we get a palindrome (672561747165276).

The spelling of 440230324133232 in words is "four hundred forty trillion, two hundred thirty billion, three hundred twenty-four million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2039 4078 6117 8156 12234 16312 18351 24468 32624 36702 48936 73404 97872 146808 293616 1499340377 2998680754 4498021131 5997361508 8996042262 11994723016 13494063393 17992084524 23989446032 26988126786 35984169048 53976253572 71968338096 107952507144 215905014288 3057155028703 6114310057406 9171465086109 12228620114812 18342930172218 24457240229624 27514395258327 36685860344436 48914480459248 55028790516654 73371720688872 110057581033308 146743441377744 220115162066616 440230324133232