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1314001040 = 245112364921
BaseRepresentation
bin100111001010010…
…0001000010010000
310101120112011120012
41032110201002100
510142341013130
6334215334052
744363552552
oct11624410220
93346464505
101314001040
116147a0480
12308081328
1317c2caa11
14c67274d2
157a558995
hex4e521090

1314001040 has 80 divisors (see below), whose sum is σ = 3477741696. Its totient is φ = 457036800.

The previous prime is 1314001033. The next prime is 1314001057. The reversal of 1314001040 is 401004131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12221 + ... + 52700.

Almost surely, 21314001040 is an apocalyptic number.

1314001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314001040 is an abundant number, since it is smaller than the sum of its proper divisors (2163740656).

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

1314001040 is a wasteful number, since it uses less digits than its factorization.

1314001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64968 (or 64962 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1314001040 is about 36249.1522659496. The cubic root of 1314001040 is about 1095.2970122067.

Adding to 1314001040 its reverse (401004131), we get a palindrome (1715005171).

The spelling of 1314001040 in words is "one billion, three hundred fourteen million, one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 10120 20240 64921 129842 259684 324605 519368 649210 714131 1038736 1298420 1428262 1493183 2596840 2856524 2986366 3570655 5193680 5713048 5972732 7141310 7465915 11426096 11945464 14282620 14931830 16425013 23890928 28565240 29863660 32850026 57130480 59727320 65700052 82125065 119454640 131400104 164250130 262800208 328500260 657000520 1314001040