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1442166201 = 34729229383
BaseRepresentation
bin101010111110101…
…1011010110111001
310201111200122010000
41111331123112321
510423143304301
6355034343213
750511132120
oct12575332671
93644618100
101442166201
116800798a3
12342b8ab09
1319ca232a8
14d976aab7
1586923786
hex55f5b5b9

1442166201 has 80 divisors (see below), whose sum is σ = 2564812800. Its totient is φ = 790134912.

The previous prime is 1442166197. The next prime is 1442166203. The reversal of 1442166201 is 1026612441.

1442166201 is a `hidden beast` number, since 1 + 442 + 16 + 6 + 201 = 666.

It is not a de Polignac number, because 1442166201 - 22 = 1442166197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1442166203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3765256 + ... + 3765638.

It is an arithmetic number, because the mean of its divisors is an integer number (32060160).

Almost surely, 21442166201 is an apocalyptic number.

It is an amenable number.

1442166201 is a deficient number, since it is larger than the sum of its proper divisors (1122646599).

1442166201 is a wasteful number, since it uses less digits than its factorization.

1442166201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1442166201 is about 37975.8634003231. The cubic root of 1442166201 is about 1129.8091935121.

Adding to 1442166201 its reverse (1026612441), we get a palindrome (2468778642).

The spelling of 1442166201 in words is "one billion, four hundred forty-two million, one hundred sixty-six thousand, two hundred one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 229 261 383 567 609 687 783 1149 1603 1827 2061 2349 2681 3447 4809 5481 6183 6641 8043 10341 11107 14427 16443 18549 19923 24129 31023 33321 43281 46487 59769 72387 77749 87707 99963 129843 139461 179307 217161 233247 263121 299889 418383 537921 613949 699741 789363 899667 1255149 1841847 2099223 2368089 2543503 3765447 5525541 6297669 7104267 7630509 16576623 17804521 22891527 49729869 53413563 68674581 160240689 206023743 480722067 1442166201