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2014141440 = 21035131129
BaseRepresentation
bin111100000001101…
…0101110000000000
312012100221222122010
41320003111300000
513111110011230
6531510012520
7100624630323
oct17003256000
95170858563
102014141440
11943a26303
12482647140
13261388c8c
141516da7ba
15bbc579b0
hex780d5c00

2014141440 has 88 divisors (see below), whose sum is σ = 6442154640. Its totient is φ = 537100288.

The previous prime is 2014141421. The next prime is 2014141447. The reversal of 2014141440 is 441414102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014141447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50205 + ... + 80924.

Almost surely, 22014141440 is an apocalyptic number.

2014141440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014141440 is an abundant number, since it is smaller than the sum of its proper divisors (4428013200).

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

2014141440 is a wasteful number, since it uses less digits than its factorization.

2014141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131157 (or 131139 counting only the distinct ones).

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

The square root of 2014141440 is about 44879.1871584145. The cubic root of 2014141440 is about 1262.8835947079.

Adding to 2014141440 its reverse (441414102), we get a palindrome (2455555542).

The spelling of 2014141440 in words is "two billion, fourteen million, one 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 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 131129 262258 393387 524516 655645 786774 1049032 1311290 1573548 1966935 2098064 2622580 3147096 3933870 4196128 5245160 6294192 7867740 8392256 10490320 12588384 15735480 16784512 20980640 25176768 31470960 33569024 41961280 50353536 62941920 67138048 83922560 100707072 125883840 134276096 167845120 201414144 251767680 335690240 402828288 503535360 671380480 1007070720 2014141440