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4244122442142 = 23211127427339499
BaseRepresentation
bin111101110000101001011…
…010010001100110011110
3120000201211012010200102100
4331300221122101212132
51024013430321122032
613005420053105530
7615425211346512
oct75605132214636
916021735120370
104244122442142
111396a16524690
125866580282a6
1324a2b028c22b
141095b92d6142
15755eccc597c
hex3dc2969199e

4244122442142 has 96 divisors (see below), whose sum is σ = 10113172992000. Its totient is φ = 1275640047360.

The previous prime is 4244122442111. The next prime is 4244122442167. The reversal of 4244122442142 is 2412442214424.

4244122442142 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 1 + 224 + 421 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4244122442097 and 4244122442106.

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, 107429109 + ... + 107468607.

It is an arithmetic number, because the mean of its divisors is an integer number (105345552000).

Almost surely, 24244122442142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244122442142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056586496000).

4244122442142 is an abundant number, since it is smaller than the sum of its proper divisors (5869050549858).

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

4244122442142 is a wasteful number, since it uses less digits than its factorization.

4244122442142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43918 (or 43915 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 4244122442142 its reverse (2412442214424), we get a palindrome (6656564656566).

The spelling of 4244122442142 in words is "four trillion, two hundred forty-four billion, one hundred twenty-two million, four hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 127 198 254 381 762 1143 1397 2286 2794 4191 4273 8382 8546 12573 12819 25146 25638 38457 39499 47003 76914 78998 94006 118497 141009 236994 282018 355491 423027 434489 542671 710982 846054 868978 1085342 1303467 1628013 2606934 3256026 3910401 4884039 5016373 5969381 7820802 9768078 10032746 11938762 15049119 17908143 30098238 35816286 45147357 53724429 55180103 90294714 107448858 110360206 165540309 168779227 331080618 337558454 496620927 506337681 993241854 1012675362 1519013043 1856571497 3038026086 3713142994 5569714491 11139428982 16709143473 21434961829 33418286946 42869923658 64304885487 128609770974 192914656461 235784580119 385829312922 471569160238 707353740357 1414707480714 2122061221071 4244122442142