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1314715104 = 25334493389
BaseRepresentation
bin100111001011100…
…1111010111100000
310101121212110002000
41032113033113200
510143031340404
6334242524000
744402615433
oct11627172740
93347773060
101314715104
11615138a0a
12308366600
1317c4baa41
14c687181a
157a64a339
hex4e5cf5e0

1314715104 has 96 divisors (see below), whose sum is σ = 3844260000. Its totient is φ = 437133312.

The previous prime is 1314715093. The next prime is 1314715109. The reversal of 1314715104 is 4015174131.

1314715104 is a `hidden beast` number, since 1 + 3 + 147 + 1 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314715109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386242 + ... + 389630.

It is an arithmetic number, because the mean of its divisors is an integer number (40044375).

Almost surely, 21314715104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314715104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922130000).

1314715104 is an abundant number, since it is smaller than the sum of its proper divisors (2529544896).

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

1314715104 is a wasteful number, since it uses less digits than its factorization.

1314715104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1314715104 is about 36259.0003171626. Note that the first 3 decimals coincide. The cubic root of 1314715104 is about 1095.4953810337.

Adding to 1314715104 its reverse (4015174131), we get a palindrome (5329889235).

The spelling of 1314715104 in words is "one billion, three hundred fourteen million, seven hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 449 864 898 1347 1796 2694 3389 3592 4041 5388 6778 7184 8082 10167 10776 12123 13556 14368 16164 20334 21552 24246 27112 30501 32328 40668 43104 48492 54224 61002 64656 81336 91503 96984 108448 122004 129312 162672 183006 193968 244008 325344 366012 387936 488016 732024 976032 1464048 1521661 2928096 3043322 4564983 6086644 9129966 12173288 13694949 18259932 24346576 27389898 36519864 41084847 48693152 54779796 73039728 82169694 109559592 146079456 164339388 219119184 328678776 438238368 657357552 1314715104