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1014241440 = 25352113003
BaseRepresentation
bin111100011101000…
…001100010100000
32121200110210200210
4330131001202200
54034121211230
6244350414120
734063624062
oct7435014240
92550423623
101014241440
11480570673
12243801340
13132185484
14989b7732
155e095eb0
hex3c7418a0

1014241440 has 48 divisors (see below), whose sum is σ = 3194862048. Its totient is φ = 270464256.

The previous prime is 1014241411. The next prime is 1014241453. The reversal of 1014241440 is 441424101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10142414402 = 2057371397226547200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056022 + ... + 1056981.

It is an arithmetic number, because the mean of its divisors is an integer number (66559626).

Almost surely, 21014241440 is an apocalyptic number.

1014241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014241440 is an abundant number, since it is smaller than the sum of its proper divisors (2180620608).

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

1014241440 is a wasteful number, since it uses less digits than its factorization.

1014241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113021 (or 2113013 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1014241440 is about 31847.1574869721. The cubic root of 1014241440 is about 1004.7247878880.

Adding to 1014241440 its reverse (441424101), we get a palindrome (1455665541).

The spelling of 1014241440 in words is "one billion, fourteen million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2113003 4226006 6339009 8452012 10565015 12678018 16904024 21130030 25356036 31695045 33808048 42260060 50712072 63390090 67616096 84520120 101424144 126780180 169040240 202848288 253560360 338080480 507120720 1014241440