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42121000044 = 2232231032771783
BaseRepresentation
bin100111001110100110…
…110111010001101100
311000201111002111120200
4213032212313101230
51142230434000134
631203343113500
73020540410254
oct471646672154
9130644074520
1042121000044
111695522a842
1281b62a2890
133c83613a86
142078162964
151167ceb499
hex9ce9b746c

42121000044 has 144 divisors (see below), whose sum is σ = 112648553472. Its totient is φ = 13244052096.

The previous prime is 42121000027. The next prime is 42121000049. The reversal of 42121000044 is 44000012124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42120999990 and 42121000026.

It is not an unprimeable number, because it can be changed into a prime (42121000049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23622777 + ... + 23624559.

Almost surely, 242121000044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56324276736).

42121000044 is an abundant number, since it is smaller than the sum of its proper divisors (70527553428).

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

42121000044 is a wasteful number, since it uses less digits than its factorization.

42121000044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42121000044 its reverse (44000012124), we get a palindrome (86121012168).

The spelling of 42121000044 in words is "forty-two billion, one hundred twenty-one million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 103 138 206 207 276 277 309 412 414 554 618 828 831 927 1108 1236 1662 1783 1854 2369 2493 3324 3566 3708 4738 4986 5349 6371 7107 7132 9476 9972 10698 12742 14214 16047 19113 21321 21396 25484 28428 28531 32094 38226 41009 42642 57062 57339 64188 76452 82018 85284 85593 114124 114678 123027 164036 171186 183649 229356 246054 256779 342372 367298 369081 492108 493891 513558 550947 656213 734596 738162 987782 1027116 1101894 1312426 1476324 1481673 1652841 1968639 1975564 2203788 2624852 2963346 3305682 3937278 4223927 4445019 5905917 5926692 6611364 7874556 8447854 8890038 11359493 11811834 12671781 16895708 17780076 22718986 23623668 25343562 34078479 38015343 45437972 50687124 50870773 68156958 76030686 101741546 102235437 136313916 152061372 152612319 203483092 204470874 305224638 408941748 457836957 610449276 915673914 1170027779 1831347828 2340055558 3510083337 4680111116 7020166674 10530250011 14040333348 21060500022 42121000044