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42200402213142 = 2333725498286121
BaseRepresentation
bin10011001100001100010111…
…11110111011100100010110
312112102022121120220002111000
421212012023332323210112
521012402410431310032
6225430332552124130
711613610210205625
oct1146061376734426
9175368546802430
1042200402213142
11124a00a9983808
124896879396646
131a71633585a34
14a5c7206296bc
154d2ae161ce7c
hex26618bfbb916

42200402213142 has 64 divisors (see below), whose sum is σ = 96351026616000. Its totient is φ = 13681245876480.

The previous prime is 42200402213093. The next prime is 42200402213173. The reversal of 42200402213142 is 24131220400224.

It is a happy number.

42200402213142 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 0 + 402 + 213 + 1 + 42 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949842 + ... + 9235962.

It is an arithmetic number, because the mean of its divisors is an integer number (1505484790875).

Almost surely, 242200402213142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200402213142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48175513308000).

42200402213142 is an abundant number, since it is smaller than the sum of its proper divisors (54150624402858).

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

42200402213142 is a wasteful number, since it uses less digits than its factorization.

42200402213142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288718 (or 8288712 counting only the distinct ones).

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

Adding to 42200402213142 its reverse (24131220400224), we get a palindrome (66331622613366).

The spelling of 42200402213142 in words is "forty-two trillion, two hundred billion, four hundred two million, two hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 2549 5098 7647 15294 22941 45882 68823 94313 137646 188626 282939 565878 848817 1697634 2546451 5092902 8286121 16572242 24858363 49716726 74575089 149150178 223725267 306586477 447450534 613172954 919759431 1839518862 2759278293 5518556586 8277834879 16555669758 21121322429 42242644858 63363967287 126727934574 190091901861 380183803722 570275705583 781488929873 1140551411166 1562977859746 2344466789619 4688933579238 7033400368857 14066800737714 21100201106571 42200402213142