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10244234142 = 232191072711033
BaseRepresentation
bin10011000101001101…
…01001101110011110
3222102221100000101100
421202212221232132
5131440010443032
64412305253530
7511601360562
oct114246515636
928387300340
1010244234142
11438766a80a
121b9a9342a6
13c7349160c
146d277b6a2
153ee55397c
hex2629a9b9e

10244234142 has 96 divisors (see below), whose sum is σ = 23692331520. Its totient is φ = 3189870720.

The previous prime is 10244234113. The next prime is 10244234159. The reversal of 10244234142 is 24143244201.

10244234142 is a `hidden beast` number, since 1 + 0 + 244 + 2 + 3 + 414 + 2 = 666.

It is a super-2 number, since 2×102442341422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9916458 + ... + 9917490.

It is an arithmetic number, because the mean of its divisors is an integer number (246795120).

Almost surely, 210244234142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244234142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846165760).

10244234142 is an abundant number, since it is smaller than the sum of its proper divisors (13448097378).

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

10244234142 is a wasteful number, since it uses less digits than its factorization.

10244234142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1435 counting only the distinct ones).

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

Adding to 10244234142 its reverse (24143244201), we get a palindrome (34387478343).

The spelling of 10244234142 in words is "ten billion, two hundred forty-four million, two hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 107 114 171 214 271 321 342 542 642 813 963 1033 1626 1926 2033 2066 2439 3099 4066 4878 5149 6099 6198 9297 10298 12198 15447 18297 18594 19627 28997 30894 36594 39254 46341 57994 58881 86991 92682 110531 117762 173982 176643 221062 260973 279943 331593 353286 521946 550943 559886 663186 839829 994779 1101886 1652829 1679658 1989558 2100089 2519487 3305658 4200178 4958487 5038974 5318917 6300267 9916974 10637834 12600534 15956751 18900801 29953901 31913502 37801602 47870253 59907802 89861703 95740506 179723406 269585109 539170218 569124119 1138248238 1707372357 3414744714 5122117071 10244234142