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1314223040 = 26513615179
BaseRepresentation
bin100111001010101…
…0111001111000000
310101120221110002102
41032111113033000
510142420114130
6334224205532
744365466024
oct11625271700
93346843072
101314223040
11614932249
123081698a8
1317c377a90
14c6784384
157a59e645
hex4e5573c0

1314223040 has 112 divisors (see below), whose sum is σ = 3426134880. Its totient is φ = 477204480.

The previous prime is 1314223037. The next prime is 1314223049. The reversal of 1314223040 is 403224131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314223049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251171 + ... + 256349.

It is an arithmetic number, because the mean of its divisors is an integer number (30590490).

Almost surely, 21314223040 is an apocalyptic number.

1314223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713067440).

1314223040 is an abundant number, since it is smaller than the sum of its proper divisors (2111911840).

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

1314223040 is a wasteful number, since it uses less digits than its factorization.

1314223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1314223040 is about 36252.2142771997. The cubic root of 1314223040 is about 1095.3586920778.

Adding to 1314223040 its reverse (403224131), we get a palindrome (1717447171).

The spelling of 1314223040 in words is "one billion, three hundred fourteen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 64 65 80 104 122 130 160 208 244 260 305 320 416 488 520 610 793 832 976 1040 1220 1586 1952 2080 2440 3172 3904 3965 4160 4880 5179 6344 7930 9760 10358 12688 15860 19520 20716 25376 25895 31720 41432 50752 51790 63440 67327 82864 103580 126880 134654 165728 207160 253760 269308 315919 331456 336635 414320 538616 631838 673270 828640 1077232 1263676 1346540 1579595 1657280 2154464 2527352 2693080 3159190 4106947 4308928 5054704 5386160 6318380 8213894 10109408 10772320 12636760 16427788 20218816 20534735 21544640 25273520 32855576 41069470 50547040 65711152 82138940 101094080 131422304 164277880 262844608 328555760 657111520 1314223040