Search a number
-
+
1314054522 = 2331112717419
BaseRepresentation
bin100111001010010…
…1110000101111010
310101120121212221000
41032110232011322
510142344221042
6334220425430
744364164514
oct11624560572
93346555830
101314054522
11614827680
123080a8276
1317c319171
14c673cbb4
157a56974c
hex4e52e17a

1314054522 has 64 divisors (see below), whose sum is σ = 3210854400. Its totient is φ = 395040240.

The previous prime is 1314054463. The next prime is 1314054523. The reversal of 1314054522 is 2254504131.

1314054522 is a `hidden beast` number, since 131 + 4 + 0 + 5 + 4 + 522 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1314054523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66729 + ... + 84147.

It is an arithmetic number, because the mean of its divisors is an integer number (50169600).

Almost surely, 21314054522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314054522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605427200).

1314054522 is an abundant number, since it is smaller than the sum of its proper divisors (1896799878).

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

1314054522 is a wasteful number, since it uses less digits than its factorization.

1314054522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17568 (or 17562 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1314054522 is about 36249.8899584537. The cubic root of 1314054522 is about 1095.3118721341.

Adding to 1314054522 its reverse (2254504131), we get a palindrome (3568558653).

The spelling of 1314054522 in words is "one billion, three hundred fourteen million, fifty-four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 198 254 297 381 594 762 1143 1397 2286 2794 3429 4191 6858 8382 12573 17419 25146 34838 37719 52257 75438 104514 156771 191609 313542 383218 470313 574827 940626 1149654 1724481 2212213 3448962 4424426 5173443 6636639 10346886 13273278 19909917 24334343 39819834 48668686 59729751 73003029 119459502 146006058 219009087 438018174 657027261 1314054522