Search a number
-
+
320214451632 = 243162717532339
BaseRepresentation
bin1001010100011100100…
…01001100010110110000
31010121112021222120022220
410222032101030112300
520221244344423012
6403034323001040
732064132633555
oct4521621142660
91117467876286
10320214451632
11113890789a79
1252087209180
1324271a806aa
14116d9acca2c
1584e218b08c
hex4a8e44c5b0

320214451632 has 80 divisors (see below), whose sum is σ = 828555361920. Its totient is φ = 106566114816.

The previous prime is 320214451577. The next prime is 320214451663. The reversal of 320214451632 is 236154412023.

It is a junction number, because it is equal to n+sod(n) for n = 320214451593 and 320214451602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136901119 + ... + 136903457.

It is an arithmetic number, because the mean of its divisors is an integer number (10356942024).

Almost surely, 2320214451632 is an apocalyptic number.

It is an amenable number.

320214451632 is an abundant number, since it is smaller than the sum of its proper divisors (508340910288).

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

320214451632 is a wasteful number, since it uses less digits than its factorization.

320214451632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 320214451632 its reverse (236154412023), we get a palindrome (556368863655).

The spelling of 320214451632 in words is "three hundred twenty billion, two hundred fourteen million, four hundred fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1627 1753 2339 3254 3506 4678 4881 5259 6508 7012 7017 9356 9762 10518 13016 14024 14034 18712 19524 21036 26032 28048 28068 37424 39048 42072 56136 78096 84144 112272 2852131 3805553 4100267 5704262 7611106 8200534 8556393 11408524 11416659 12300801 15222212 16401068 17112786 22817048 22833318 24601602 30444424 32802136 34225572 45634096 45666636 49203204 60888848 65604272 68451144 91333272 98406408 136902288 182666544 196812816 6671134409 13342268818 20013403227 26684537636 40026806454 53369075272 80053612908 106738150544 160107225816 320214451632