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14141015056 = 24723121372
BaseRepresentation
bin11010010101101111…
…01100010000010000
31100111111210222212101
431022313230100100
5212430044440211
610255111010144
71010266434100
oct151267542020
940444728771
1014141015056
115aa7263a03
1228a7969954
1314448b323c
14982103200
1557b6da5c1
hex34adec410

14141015056 has 135 divisors (see below), whose sum is σ = 33174808317. Its totient is φ = 5822127360.

The previous prime is 14141015029. The next prime is 14141015099. The reversal of 14141015056 is 65051014141.

The square root of 14141015056 is 118916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8306499600 + 5834515456 = 91140^2 + 76384^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103219020 + ... + 103219156.

Almost surely, 214141015056 is an apocalyptic number.

14141015056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14141015056 is the 118916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141015056

14141015056 is an abundant number, since it is smaller than the sum of its proper divisors (19033793261).

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

14141015056 is an equidigital number, since it uses as much as digits as its factorization.

14141015056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

Adding to 14141015056 its reverse (65051014141), we get a palindrome (79192029197).

The spelling of 14141015056 in words is "fourteen billion, one hundred forty-one million, fifteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 137 196 217 248 274 392 434 496 548 784 868 959 961 1096 1519 1736 1918 1922 2192 3038 3472 3836 3844 4247 6076 6713 6727 7672 7688 8494 12152 13426 13454 15344 15376 16988 18769 24304 26852 26908 29729 33976 37538 47089 53704 53816 59458 67952 75076 94178 107408 107632 118916 131383 131657 150152 188356 208103 237832 262766 263314 300304 376712 416206 475664 525532 526628 581839 753424 832412 919681 921599 1051064 1053256 1163678 1664824 1839362 1843198 2102128 2106512 2327356 3329648 3678724 3686396 4072873 4654712 6451193 7357448 7372792 8145746 9309424 12902386 14714896 14745584 16291492 18037009 25804772 28510111 32582984 36074018 51609544 57020222 65165968 72148036 103219088 114040444 126259063 144296072 228080888 252518126 288592144 456161776 505036252 883813441 1010072504 1767626882 2020145008 3535253764 7070507528 14141015056