Search a number
-
+
2014313040 = 243253190247
BaseRepresentation
bin111100000001111…
…1111101001010000
312012101021201000200
41320003333221100
513111131004130
6531513415200
7100626243525
oct17003775120
95171251020
102014313040
11944033223
1248270a500
1326141910c
1415174314c
15bbc8d760
hex780ffa50

2014313040 has 120 divisors (see below), whose sum is σ = 6983029248. Its totient is φ = 519816960.

The previous prime is 2014313033. The next prime is 2014313053. The reversal of 2014313040 is 403134102.

2014313040 is a `hidden beast` number, since 201 + 431 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20143130402 = 8114914046228083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22804 + ... + 67443.

Almost surely, 22014313040 is an apocalyptic number.

2014313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014313040 is an abundant number, since it is smaller than the sum of its proper divisors (4968716208).

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

2014313040 is a wasteful number, since it uses less digits than its factorization.

2014313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90297 (or 90288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2014313040 is about 44881.0989170274. The cubic root of 2014313040 is about 1262.9194585697.

Adding to 2014313040 its reverse (403134102), we get a palindrome (2417447142).

The spelling of 2014313040 in words is "two billion, fourteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 90247 180494 270741 360988 451235 541482 721976 812223 902470 1082964 1353705 1443952 1624446 1804940 2165928 2707410 2797657 3248892 3609880 4061115 4331856 5414820 5595314 6497784 7219760 8122230 8392971 10829640 11190628 12995568 13988285 16244460 16785942 21659280 22381256 25178913 27976570 32488920 33571884 41964855 44762512 50357826 55953140 64977840 67143768 83929710 100715652 111906280 125894565 134287536 167859420 201431304 223812560 251789130 335718840 402862608 503578260 671437680 1007156520 2014313040