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14141976978724 = 22722686132
BaseRepresentation
bin1100110111001010111110…
…0000111010010100100100
31212001221220200122202110221
43031302233200322110210
53323200232101304344
650024422354254124
72656503241640200
oct315625740722444
955057820582427
1014141976978724
114562640362141
121704987587344
137b777628c92a
1436c692481b00
15197cea486184
hexcdcaf83a524

14141976978724 has 27 divisors (see below), whose sum is σ = 28789131740817. Its totient is φ = 6060824713104.

The previous prime is 14141976978677. The next prime is 14141976978763. The reversal of 14141976978724 is 42787967914141.

It is a happy number.

The square root of 14141976978724 is 3760582.

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

14141976978724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14081181200100 + 60795778624 = 3752490^2 + 246568^2 .

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52513842 + ... + 52782454.

Almost surely, 214141976978724 is an apocalyptic number.

14141976978724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14141976978724 is the 3760582-nd square number.

It is an amenable number.

14141976978724 is an abundant number, since it is smaller than the sum of its proper divisors (14647154762093).

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

14141976978724 is an frugal number, since it uses more digits than its factorization.

14141976978724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537244 (or 268622 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 70.

The spelling of 14141976978724 in words is "fourteen trillion, one hundred forty-one billion, nine hundred seventy-six million, nine hundred seventy-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 268613 537226 1074452 1880291 3760582 7521164 13162037 26324074 52648148 72152943769 144305887538 288611775076 505070606383 1010141212766 2020282425532 3535494244681 7070988489362 14141976978724