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2014143400 = 235210339749
BaseRepresentation
bin111100000001101…
…0110001110101000
312012100222002022201
41320003112032220
513111110042100
6531510025544
7100624636123
oct17003261650
95170862281
102014143400
11943a27825
124826482b4
13261389b39
141516db3ba
15bbc5836a
hex780d63a8

2014143400 has 48 divisors (see below), whose sum is σ = 4687897500. Its totient is φ = 804794880.

The previous prime is 2014143389. The next prime is 2014143401. The reversal of 2014143400 is 43414102.

It can be written as a sum of positive squares in 6 ways, for example, as 925011396 + 1089132004 = 30414^2 + 33002^2 .

It is not an unprimeable number, because it can be changed into a prime (2014143401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201726 + ... + 211474.

Almost surely, 22014143400 is an apocalyptic number.

2014143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014143400 is an abundant number, since it is smaller than the sum of its proper divisors (2673754100).

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

2014143400 is a wasteful number, since it uses less digits than its factorization.

2014143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2014143400 is about 44879.2089948118. The cubic root of 2014143400 is about 1262.8840043533.

Adding to 2014143400 its reverse (43414102), we get a palindrome (2057557502).

The spelling of 2014143400 in words is "two billion, fourteen million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1033 2066 4132 5165 8264 9749 10330 19498 20660 25825 38996 41320 48745 51650 77992 97490 103300 194980 206600 243725 389960 487450 974900 1949800 10070717 20141434 40282868 50353585 80565736 100707170 201414340 251767925 402828680 503535850 1007071700 2014143400