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1442213340 = 2235101331719
BaseRepresentation
bin101010111110110…
…0110110111011100
310201111210000202220
41111331212313130
510423201311330
6355035345340
750511416421
oct12575466734
93644700686
101442213340
11680101257
12342bb2250
1319ca3b899
14d977dd48
1586932710
hex55f66ddc

1442213340 has 96 divisors (see below), whose sum is σ = 4096189440. Its totient is φ = 379104000.

The previous prime is 1442213329. The next prime is 1442213347. The reversal of 1442213340 is 433122441.

It is a self number, because there is not a number n which added to its sum of digits gives 1442213340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442213347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2005501 + ... + 2006219.

It is an arithmetic number, because the mean of its divisors is an integer number (42668640).

Almost surely, 21442213340 is an apocalyptic number.

1442213340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048094720).

1442213340 is an abundant number, since it is smaller than the sum of its proper divisors (2653976100).

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

1442213340 is a wasteful number, since it uses less digits than its factorization.

1442213340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1442213340 is about 37976.4840394684. The cubic root of 1442213340 is about 1129.8215031186.

Adding to 1442213340 its reverse (433122441), we get a palindrome (1875335781).

The spelling of 1442213340 in words is "one billion, four hundred forty-two million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 331 404 505 606 662 719 993 1010 1212 1324 1438 1515 1655 1986 2020 2157 2876 3030 3310 3595 3972 4314 4965 6060 6620 7190 8628 9930 10785 14380 19860 21570 33431 43140 66862 72619 100293 133724 145238 167155 200586 217857 237989 290476 334310 363095 401172 435714 475978 501465 668620 713967 726190 871428 951956 1002930 1089285 1189945 1427934 1452380 2005860 2178570 2379890 2855868 3569835 4357140 4759780 7139670 14279340 24036889 48073778 72110667 96147556 120184445 144221334 240368890 288442668 360553335 480737780 721106670 1442213340