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22142130422144 = 271912377360141
BaseRepresentation
bin1010000100011010111011…
…10100011000000110000000
32220101202201010202220010212
411002031131310120012000
510400234040342002034
6115031542043213252
74443500430130355
oct502153564300600
986352633686125
1022142130422144
117067474419717
122597362817228
13c47cbc8ba0c5
1456798326462c
15285e7ab0b2ce
hex14235dd18180

22142130422144 has 64 divisors (see below), whose sum is σ = 46470464559600. Its totient is φ = 10479897262080.

The previous prime is 22142130422117. The next prime is 22142130422147. The reversal of 22142130422144 is 44122403124122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22142130422144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142130422147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671687 + ... + 6688454.

Almost surely, 222142130422144 is an apocalyptic number.

It is an amenable number.

22142130422144 is an abundant number, since it is smaller than the sum of its proper divisors (24328334137456).

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

22142130422144 is a wasteful number, since it uses less digits than its factorization.

22142130422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361411 (or 7361399 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22142130422144 its reverse (44122403124122), we get a palindrome (66264533546266).

The spelling of 22142130422144 in words is "twenty-two trillion, one hundred forty-two billion, one hundred thirty million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 1237 2432 2474 4948 9896 19792 23503 39584 47006 79168 94012 158336 188024 376048 752096 1504192 3008384 7360141 14720282 29440564 58881128 117762256 139842679 235524512 279685358 471049024 559370716 942098048 1118741432 2237482864 4474965728 8949931456 9104494417 17899862912 18208988834 36417977668 72835955336 145671910672 172985393923 291343821344 345970787846 582687642688 691941575692 1165375285376 1383883151384 2767766302768 5535532605536 11071065211072 22142130422144