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1234442000142 = 2321331226920407
BaseRepresentation
bin10001111101101010011…
…110100001011100001110
311101000022101102000000100
4101331222132201130032
5130211114123001032
62343032252111530
7155120423605431
oct21755236413416
94330271360010
101234442000142
1143658436661a
1217b2b01655a6
138c53b029b50
1443a668a1818
152219d79797c
hex11f6a7a170e

1234442000142 has 144 divisors (see below), whose sum is σ = 2987487528480. Its totient is φ = 366191383680.

The previous prime is 1234442000131. The next prime is 1234442000159. The reversal of 1234442000142 is 2410002444321.

1234442000142 is a `hidden beast` number, since 1 + 2 + 3 + 444 + 200 + 0 + 14 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60480903 + ... + 60501309.

It is an arithmetic number, because the mean of its divisors is an integer number (20746441170).

Almost surely, 21234442000142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234442000142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493743764240).

1234442000142 is an abundant number, since it is smaller than the sum of its proper divisors (1753045528338).

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

1234442000142 is a wasteful number, since it uses less digits than its factorization.

1234442000142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20759 (or 20725 counting only the distinct ones).

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

Adding to 1234442000142 its reverse (2410002444321), we get a palindrome (3644444444463).

The spelling of 1234442000142 in words is "one trillion, two hundred thirty-four billion, four hundred forty-two million, one hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 269 279 403 538 558 806 807 961 1209 1614 1922 2418 2421 2883 3497 3627 4842 5766 6994 7254 8339 8649 10491 12493 16678 17298 20407 20982 24986 25017 31473 37479 40814 50034 61221 62946 74958 75051 108407 112437 122442 150102 183663 216814 224874 258509 265291 325221 367326 517018 530582 632617 650442 775527 795873 975663 1265234 1551054 1591746 1897851 1951326 2326581 2387619 3360617 3795702 4653162 4775238 5489483 5693553 6721234 8224021 10081851 10978966 11387106 16448042 16468449 19611127 20163702 24672063 30245553 32936898 39222254 49344126 49405347 58833381 60491106 71363279 74016189 98810694 117666762 142726558 148032378 170173973 176500143 214089837 254944651 340347946 353000286 428179674 509889302 510521919 642269511 764833953 1021043838 1284539022 1529667906 1531565757 2212261649 2294501859 3063131514 4424523298 4589003718 5275393163 6636784947 10550786326 13273569894 15826179489 19910354841 31652358978 39820709682 47478538467 68580111119 94957076934 137160222238 205740333357 411480666714 617221000071 1234442000142