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1414161024 = 27334710613
BaseRepresentation
bin101010001001010…
…0110001010000000
310122112222211020020
41110102212022000
510344011123044
6352154213440
750021112303
oct12422461200
93575884206
101414161024
11666291121
12335724280
13196c99293
14d5b5ab3a
1584240a19
hex544a6280

1414161024 has 64 divisors (see below), whose sum is σ = 3767545440. Its totient is φ = 469984256.

The previous prime is 1414161019. The next prime is 1414161059. The reversal of 1414161024 is 4201614141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1414160985 and 1414161003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127942 + ... + 138554.

Almost surely, 21414161024 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 1414161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883772720).

1414161024 is an abundant number, since it is smaller than the sum of its proper divisors (2353384416).

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

1414161024 is a wasteful number, since it uses less digits than its factorization.

1414161024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10977 (or 10965 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1414161024 is about 37605.3323878410. The cubic root of 1414161024 is about 1122.4481482258.

Adding to 1414161024 its reverse (4201614141), we get a palindrome (5615775165).

The spelling of 1414161024 in words is "one billion, four hundred fourteen million, one hundred sixty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 347 384 694 1041 1388 2082 2776 4164 5552 8328 10613 11104 16656 21226 22208 31839 33312 42452 44416 63678 66624 84904 127356 133248 169808 254712 339616 509424 679232 1018848 1358464 2037696 3682711 4075392 7365422 11048133 14730844 22096266 29461688 44192532 58923376 88385064 117846752 176770128 235693504 353540256 471387008 707080512 1414161024