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42000321040 = 2451752375897
BaseRepresentation
bin100111000111011010…
…100000101000010000
311000102002000101002221
4213013122200220100
51142004040233130
631143352350424
73014543560366
oct470732405020
9130362011087
1042000321040
11168a30a4927
1281819a5414
133c6460ca92
14206610b636
15115c40e87a
hex9c76a0a10

42000321040 has 80 divisors (see below), whose sum is σ = 103432187952. Its totient is φ = 15806185472.

The previous prime is 42000321029. The next prime is 42000321043. The reversal of 42000321040 is 4012300024.

It can be written as a sum of positive squares in 8 ways, for example, as 10505430016 + 31494891024 = 102496^2 + 177468^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42000321043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7119372 + ... + 7125268.

Almost surely, 242000321040 is an apocalyptic number.

42000321040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000321040 is an abundant number, since it is smaller than the sum of its proper divisors (61431866912).

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

42000321040 is a wasteful number, since it uses less digits than its factorization.

42000321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11164 (or 11158 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42000321040 its reverse (4012300024), we get a palindrome (46012621064).

The spelling of 42000321040 in words is "forty-two billion, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 5237 5897 10474 11794 20948 23588 26185 29485 41896 47176 52370 58970 83792 89029 94352 100249 104740 117940 178058 200498 209480 235880 356116 400996 418960 445145 471760 501245 712232 801992 890290 1002490 1424464 1603984 1780580 2004980 3561160 4009960 7122320 8019920 30882589 61765178 123530356 154412945 247060712 308825890 494121424 525004013 617651780 1050008026 1235303560 2100016052 2470607120 2625020065 4200032104 5250040130 8400064208 10500080260 21000160520 42000321040