Search a number
-
+
1414914896 = 24173125413
BaseRepresentation
bin101010001010101…
…1110001101010000
310122121102010100102
41110111132031100
510344204234041
6352222311532
750030402213
oct12425361520
93577363312
101414914896
1166675655a
12335a285a8
131971a1465
14d5cb577a
158433e09b
hex5455e350

1414914896 has 60 divisors (see below), whose sum is σ = 2999864916. Its totient is φ = 644244480.

The previous prime is 1414914869. The next prime is 1414914899. The reversal of 1414914896 is 6984194141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 704159296 + 710755600 = 26536^2 + 26660^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1414914896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414914899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258686 + ... + 264098.

Almost surely, 21414914896 is an apocalyptic number.

1414914896 is a gapful number since it is divisible by the number (16) 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 1414914896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499932458).

1414914896 is an abundant number, since it is smaller than the sum of its proper divisors (1584950020).

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

1414914896 is a wasteful number, since it uses less digits than its factorization.

1414914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5463 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The square root of 1414914896 is about 37615.3545244492. The cubic root of 1414914896 is about 1122.6475672682.

The spelling of 1414914896 in words is "one billion, four hundred fourteen million, nine hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 961 1054 1922 2108 3844 4216 5413 7688 8432 10826 15376 16337 21652 32674 43304 65348 86608 92021 130696 167803 184042 261392 335606 368084 671212 736168 1342424 1472336 2684848 2852651 5201893 5705302 10403786 11410604 20807572 22821208 41615144 45642416 83230288 88432181 176864362 353728724 707457448 1414914896