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1314054441 = 33797229313
BaseRepresentation
bin100111001010010…
…1110000100101001
310101120121212211000
41032110232010221
510142344220231
6334220425213
744364164340
oct11624560451
93346555730
101314054441
11614827607
123080a8209
1317c31910b
14c673cb57
157a5696e6
hex4e52e129

1314054441 has 64 divisors (see below), whose sum is σ = 2264819200. Its totient is φ = 737538048.

The previous prime is 1314054437. The next prime is 1314054449. The reversal of 1314054441 is 1444504131.

1314054441 is a `hidden beast` number, since 131 + 40 + 54 + 441 = 666.

It is not a de Polignac number, because 1314054441 - 22 = 1314054437 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1314054449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4198101 + ... + 4198413.

It is an arithmetic number, because the mean of its divisors is an integer number (35387800).

Almost surely, 21314054441 is an apocalyptic number.

It is an amenable number.

1314054441 is a deficient number, since it is larger than the sum of its proper divisors (950764759).

1314054441 is a wasteful number, since it uses less digits than its factorization.

1314054441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1314054441 is about 36249.8888412089. Note that the first 4 decimals coincide. The cubic root of 1314054441 is about 1095.3118496286.

Adding to 1314054441 its reverse (1444504131), we get a palindrome (2758558572).

The spelling of 1314054441 in words is "one billion, three hundred fourteen million, fifty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 97 189 229 291 313 679 687 873 939 1603 2037 2061 2191 2619 2817 4809 6111 6183 6573 8451 14427 18333 19719 22213 30361 43281 59157 66639 71677 91083 155491 199917 212527 215031 273249 466473 501739 599751 637581 645093 819747 1399419 1505217 1912743 1935279 4198257 4515651 5738229 6952669 13546953 20858007 48668683 62574021 146006049 187722063 438018147 1314054441