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2214440120432 = 243113937386111
BaseRepresentation
bin100000001110010110111…
…010101011000001110000
321211200212010202122202202
4200032112322223001300
5242240133132323212
64413144425002332
7315662614311401
oct40162672530160
97750763678682
102214440120432
11784158799211
122b920b6233a8
13130a894102b7
14792726939a8
153c9090210c2
hex20396eab070

2214440120432 has 80 divisors (see below), whose sum is σ = 4472753725440. Its totient is φ = 1060930310400.

The previous prime is 2214440120413. The next prime is 2214440120449. The reversal of 2214440120432 is 2340210444122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2214440120395 and 2214440120404.

It is a congruent number.

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, 25673057 + ... + 25759167.

It is an arithmetic number, because the mean of its divisors is an integer number (55909421568).

Almost surely, 22214440120432 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 2214440120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236376862720).

2214440120432 is an abundant number, since it is smaller than the sum of its proper divisors (2258313605008).

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

2214440120432 is a wasteful number, since it uses less digits than its factorization.

2214440120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86662 (or 86656 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2214440120432 its reverse (2340210444122), we get a palindrome (4554650564554).

The spelling of 2214440120432 in words is "two trillion, two hundred fourteen billion, four hundred forty million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 139 248 278 373 496 556 746 1112 1492 2224 2984 4309 5968 8618 11563 17236 23126 34472 46252 51847 68944 86111 92504 103694 172222 185008 207388 344444 414776 688888 829552 1377776 1607257 2669441 3214514 5338882 6429028 10677764 11969429 12858056 21355528 23938858 25716112 32119403 42711056 47877716 64238806 95755432 128477612 191510864 256955224 371052299 513910448 742104598 995701493 1484209196 1991402986 2968418392 3982805972 4464597017 5936836784 7965611944 8929194034 15931223888 17858388068 35716776136 71433552272 138402507527 276805015054 553610030108 1107220060216 2214440120432