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1442241768 = 2331131176227
BaseRepresentation
bin101010111110110…
…1101110011101000
310201111211110202210
41111331231303220
510423203214033
6355040125120
750511565332
oct12575556350
93644743683
101442241768
11680120650
123430067a0
1319ca4b7c6
14d978a452
158693ad63
hex55f6dce8

1442241768 has 64 divisors (see below), whose sum is σ = 4060293120. Its totient is φ = 422942400.

The previous prime is 1442241751. The next prime is 1442241769. The reversal of 1442241768 is 8671422441.

It is a super-2 number, since 2×14422417682 = 4160122634727531648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442241769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79930 + ... + 96297.

It is an arithmetic number, because the mean of its divisors is an integer number (63442080).

Almost surely, 21442241768 is an apocalyptic number.

It is an amenable number.

1442241768 is an abundant number, since it is smaller than the sum of its proper divisors (2618051352).

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

1442241768 is a wasteful number, since it uses less digits than its factorization.

1442241768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176278 (or 176274 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 1442241768 is about 37976.8583218781. The cubic root of 1442241768 is about 1129.8289265129.

The spelling of 1442241768 in words is "one billion, four hundred forty-two million, two hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 176227 352454 528681 704908 1057362 1409816 1938497 2114724 3876994 4229448 5463037 5815491 7753988 10926074 11630982 15507976 16389111 21852148 23261964 32778222 43704296 46523928 60093407 65556444 120186814 131112888 180280221 240373628 360560442 480747256 721120884 1442241768