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1414000056 = 233723173793
BaseRepresentation
bin101010001000111…
…1110110110111000
310122112200122102110
41110101332312320
510343441000211
6352150532320
750016542100
oct12421766670
93575618373
101414000056
11666191197
123356670a0
13196c40c31
14d5b18200
158420cea6
hex5447edb8

1414000056 has 96 divisors (see below), whose sum is σ = 4126202640. Its totient is φ = 402619392.

The previous prime is 1414000043. The next prime is 1414000057. The reversal of 1414000056 is 6500004141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1413999996 and 1414000041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414000057) 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 23 ways as a sum of consecutive naturals, for example, 370896 + ... + 374688.

Almost surely, 21414000056 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 1414000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063101320).

1414000056 is an abundant number, since it is smaller than the sum of its proper divisors (2712202584).

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

1414000056 is a wasteful number, since it uses less digits than its factorization.

1414000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1414000056 is about 37603.1920985440. The cubic root of 1414000056 is about 1122.4055587596.

Adding to 1414000056 its reverse (6500004141), we get a palindrome (7914004197).

The spelling of 1414000056 in words is "one billion, four hundred fourteen million, fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 317 392 588 634 951 1176 1268 1902 2219 2536 3793 3804 4438 6657 7586 7608 8876 11379 13314 15172 15533 17752 22758 26551 26628 30344 31066 45516 46599 53102 53256 62132 79653 91032 93198 106204 124264 159306 185857 186396 212408 318612 371714 372792 557571 637224 743428 1115142 1202381 1486856 2230284 2404762 3607143 4460568 4809524 7214286 8416667 9619048 14428572 16833334 25250001 28857144 33666668 50500002 58916669 67333336 101000004 117833338 176750007 202000008 235666676 353500014 471333352 707000028 1414000056