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114221010144 = 2534937240997
BaseRepresentation
bin110101001100000011…
…0100100110011100000
3101220211020222111202010
41222120012210303200
53332411034311034
6124250012352520
711152334365323
oct1523006446340
9356736874663
10114221010144
114449386754a
121a178475740
13aa03b50a47
145757a287ba
152e879773e9
hex1a981a4ce0

114221010144 has 48 divisors (see below), whose sum is σ = 299892127248. Its totient is φ = 38065800192.

The previous prime is 114221010089. The next prime is 114221010151. The reversal of 114221010144 is 441010122411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 114221010144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353454 + ... + 594450.

It is an arithmetic number, because the mean of its divisors is an integer number (6247752651).

Almost surely, 2114221010144 is an apocalyptic number.

It is an amenable number.

114221010144 is an abundant number, since it is smaller than the sum of its proper divisors (185671117104).

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

114221010144 is a wasteful number, since it uses less digits than its factorization.

114221010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245947 (or 245939 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 114221010144 its reverse (441010122411), we get a palindrome (555231132555).

The spelling of 114221010144 in words is "one hundred fourteen billion, two hundred twenty-one million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4937 9874 14811 19748 29622 39496 59244 78992 118488 157984 236976 240997 473952 481994 722991 963988 1445982 1927976 2891964 3855952 5783928 7711904 11567856 23135712 1189802189 2379604378 3569406567 4759208756 7138813134 9518417512 14277626268 19036835024 28555252536 38073670048 57110505072 114221010144