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1442203300032 = 263111514522261
BaseRepresentation
bin10100111111001010000…
…000111111000011000000
312002212120121221120102020
4110333022000333003000
5142112113021100112
63022312233521440
7206124066533055
oct24771200770300
95085517846366
101442203300032
115066a918a250
121b3612b73280
13a5ccb2a4b61
144db3567302c
15277ad2b648c
hex14fca03f0c0

1442203300032 has 112 divisors (see below), whose sum is σ = 4190291791104. Its totient is φ = 434136960000.

The previous prime is 1442203300003. The next prime is 1442203300039. The reversal of 1442203300032 is 2300033022441.

It is a super-2 number, since 2×14422033000322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1442203299975 and 1442203300011.

It is not an unprimeable number, because it can be changed into a prime (1442203300039) 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, 1942219 + ... + 2580042.

Almost surely, 21442203300032 is an apocalyptic number.

1442203300032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1442203300032 is an abundant number, since it is smaller than the sum of its proper divisors (2748088491072).

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

1442203300032 is a wasteful number, since it uses less digits than its factorization.

1442203300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522438 (or 4522428 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1442203300032 its reverse (2300033022441), we get a palindrome (3742236322473).

The spelling of 1442203300032 in words is "one trillion, four hundred forty-two billion, two hundred three million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 151 176 192 264 302 352 453 528 604 704 906 1056 1208 1661 1812 2112 2416 3322 3624 4832 4983 6644 7248 9664 9966 13288 14496 19932 26576 28992 39864 53152 79728 106304 159456 318912 4522261 9044522 13566783 18089044 27133566 36178088 49744871 54267132 72356176 99489742 108534264 144712352 149234613 198979484 217068528 289424704 298469226 397958968 434137056 596938452 682861411 795917936 868274112 1193876904 1365722822 1591835872 2048584233 2387753808 2731445644 3183671744 4097168466 4775507616 5462891288 7511475521 8194336932 9551015232 10925782576 15022951042 16388673864 21851565152 22534426563 30045902084 32777347728 43703130304 45068853126 60091804168 65554695456 90137706252 120183608336 131109390912 180275412504 240367216672 360550825008 480734433344 721101650016 1442203300032