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42003212004 = 223213267103043
BaseRepresentation
bin100111000111100101…
…100010011011100100
311000102021110020202200
4213013211202123210
51142010310241004
631143534334500
73014610261015
oct470745423344
9130367406680
1042003212004
11168a4799956
12818295a430
133c650b2900
14206666100c
15115c7d1239
hex9c79626e4

42003212004 has 108 divisors (see below), whose sum is σ = 116687437776. Its totient is φ = 12731045184.

The previous prime is 42003211997. The next prime is 42003212059. The reversal of 42003212004 is 40021230024.

42003212004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 356107 + ... + 459149.

Almost surely, 242003212004 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 42003212004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58343718888).

42003212004 is an abundant number, since it is smaller than the sum of its proper divisors (74684225772).

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

42003212004 is a wasteful number, since it uses less digits than its factorization.

42003212004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103146 (or 103128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42003212004 its reverse (40021230024), we get a palindrome (82024442028).

The spelling of 42003212004 in words is "forty-two billion, three million, two hundred twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 169 201 234 268 338 402 468 507 603 676 804 871 1014 1206 1521 1742 2028 2412 2613 3042 3484 5226 6084 7839 10452 11323 15678 22646 31356 33969 45292 67938 101907 103043 135876 203814 206086 309129 407628 412172 618258 927387 1236516 1339559 1854774 2679118 3709548 4018677 5358236 6903881 8037354 12056031 13807762 16074708 17414267 20711643 24112062 27615524 34828534 41423286 48224124 52242801 62134929 69657068 82846572 89750453 104485602 124269858 156728403 179500906 208971204 248539716 269251359 313456806 359001812 538502718 626913612 807754077 1077005436 1166755889 1615508154 2333511778 3231016308 3500267667 4667023556 7000535334 10500803001 14001070668 21001606002 42003212004