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42004244004 = 223611011314337
BaseRepresentation
bin100111000111101001…
…011110011000100100
311000102100101200101220
4213013221132120210
51142011041302004
631144012420340
73014622116532
oct470751363044
9130370350356
1042004244004
11168a5334248
1281831776b0
133c65384568
14206684d152
15115c936dd9
hex9c7a5e624

42004244004 has 96 divisors (see below), whose sum is σ = 101394260352. Its totient is φ = 13528320000.

The previous prime is 42004243991. The next prime is 42004244021. The reversal of 42004244004 is 40044240024.

42004244004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9682924 + ... + 9687260.

It is an arithmetic number, because the mean of its divisors is an integer number (1056190212).

Almost surely, 242004244004 is an apocalyptic number.

It is an amenable number.

42004244004 is an abundant number, since it is smaller than the sum of its proper divisors (59390016348).

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

42004244004 is a wasteful number, since it uses less digits than its factorization.

42004244004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42004244004 its reverse (40044240024), we get a palindrome (82048484028).

The spelling of 42004244004 in words is "forty-two billion, four million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 61 101 122 131 183 202 244 262 303 366 393 404 524 606 732 786 1212 1572 4337 6161 7991 8674 12322 13011 13231 15982 17348 18483 23973 24644 26022 26462 31964 36966 39693 47946 52044 52924 73932 79386 95892 158772 264557 438037 529114 568147 793671 807091 876074 1058228 1136294 1314111 1587342 1614182 1704441 1752148 2272588 2421273 2628222 3174684 3228364 3408882 4842546 5256444 6817764 9685092 26720257 34656967 53440514 57382847 69313934 80160771 103970901 106881028 114765694 138627868 160321542 172148541 207941802 229531388 320643084 344297082 415883604 688594164 3500353667 7000707334 10501061001 14001414668 21002122002 42004244004