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20130140022444 = 2233688212708333
BaseRepresentation
bin1001001001110111010011…
…10110000110011010101100
32122021102102001212121222000
410210323221312012122230
510114303011321204234
6110451354134252300
74145232430661634
oct444735166063254
978242361777860
1020130140022444
1164611652840a1
1223114331b7090
13b303581a2b8a
144d84381756c4
1524d970157899
hex124ee9d866ac

20130140022444 has 48 divisors (see below), whose sum is σ = 52190029513440. Its totient is φ = 6709946696640.

The previous prime is 20130140022431. The next prime is 20130140022449. The reversal of 20130140022444 is 44422004103102.

20130140022444 is a `hidden beast` number, since 2 + 0 + 1 + 30 + 1 + 400 + 224 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20130140022449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6078502 + ... + 8786834.

It is an arithmetic number, because the mean of its divisors is an integer number (1087292281530).

Almost surely, 220130140022444 is an apocalyptic number.

It is an amenable number.

20130140022444 is an abundant number, since it is smaller than the sum of its proper divisors (32059889490996).

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

20130140022444 is a wasteful number, since it uses less digits than its factorization.

20130140022444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777167 (or 2777159 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20130140022444 its reverse (44422004103102), we get a palindrome (64552144125546).

The spelling of 20130140022444 in words is "twenty trillion, one hundred thirty billion, one hundred forty million, twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 68821 137642 206463 275284 412926 619389 825852 1238778 1858167 2477556 2708333 3716334 5416666 7432668 8124999 10833332 16249998 24374997 32499996 48749994 73124991 97499988 146249982 292499964 186390185393 372780370786 559170556179 745560741572 1118341112358 1677511668537 2236682224716 3355023337074 5032535005611 6710046674148 10065070011222 20130140022444