Search a number
-
+
77443440431 = 7197313160889
BaseRepresentation
bin100100000011111111…
…1010001111100101111
321101220011111101120112
41020013333101330233
52232101010043211
655324345410235
75411056245110
oct1100777217457
9241804441515
1077443440431
112a930892035
121301379997b
1373c2591686
143a69404207
152033d1e88b
hex1207fd1f2f

77443440431 has 32 divisors (see below), whose sum is σ = 95163763200. Its totient is φ = 61550461440.

The previous prime is 77443440413. The next prime is 77443440433. The reversal of 77443440431 is 13404434477.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77443440431 is a prime.

It is a super-2 number, since 2×774434404312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77443440433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241435 + ... + 1302323.

It is an arithmetic number, because the mean of its divisors is an integer number (2973867600).

Almost surely, 277443440431 is an apocalyptic number.

77443440431 is a deficient number, since it is larger than the sum of its proper divisors (17720322769).

77443440431 is a wasteful number, since it uses less digits than its factorization.

77443440431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61119.

The product of its (nonzero) digits is 451584, while the sum is 41.

The spelling of 77443440431 in words is "seventy-seven billion, four hundred forty-three million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 7 19 73 131 133 511 917 1387 2489 9563 9709 17423 60889 66941 181697 426223 1156891 1271879 4444897 7976459 8098237 31114279 55835213 84453043 151552721 582281507 591171301 1060869047 4075970549 11063348633 77443440431