Search a number
-
+
14538389429776 = 24372257632
BaseRepresentation
bin1101001110001111101110…
…0010011001111000010000
31220110212010100121202111111
43103203323202121320100
53401144110143223101
650530502141023104
73030235562114632
oct323437342317020
956425110552444
1014538389429776
1146a57728aa953
121769779254a94
13815c6c58a234
14383939db6a52
151a329be2c251
hexd38fb899e10

14538389429776 has 45 divisors (see below), whose sum is σ = 28951129763661. Its totient is φ = 7072455462336.

The previous prime is 14538389429771. The next prime is 14538389429833. The reversal of 14538389429776 is 67792498383541.

The square root of 14538389429776 is 3812924.

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

14538389429776 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., 13009150512400 + 1529238917376 = 3606820^2 + 1236624^2 .

It is a super-2 number, since 2×145383894297762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14538389429771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 564299871 + ... + 564325633.

Almost surely, 214538389429776 is an apocalyptic number.

14538389429776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14538389429776 is the 3812924-th square number.

It is an amenable number.

14538389429776 is a deficient number, since it is larger than the sum of its proper divisors (14412740333885).

14538389429776 is an frugal number, since it uses more digits than its factorization.

14538389429776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51608 (or 25802 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 76.

The spelling of 14538389429776 in words is "fourteen trillion, five hundred thirty-eight billion, three hundred eighty-nine million, four hundred twenty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 37 74 148 296 592 1369 2738 5476 10952 21904 25763 51526 103052 206104 412208 953231 1906462 3812924 7625848 15251696 35269547 70539094 141078188 282156376 564312752 663732169 1327464338 2654928676 5309857352 10619714704 24558090253 49116180506 98232361012 196464722024 392929444048 908649339361 1817298678722 3634597357444 7269194714888 14538389429776