Search a number
-
+
443023472050614 = 232713643735157221
BaseRepresentation
bin110010010111011010111000…
…0101011011100000110110110
32011002121122000111021010012100
41210232311300223130012312
5431031444032321104424
64210122101242202530
7162213250430261550
oct14456656053340666
92132548014233170
10443023472050614
11119185221413484
1241830b004b3446
1316027c1b451b50
147b586440a64d0
1536340cd045dc9
hex192ed70adc1b6

443023472050614 has 192 divisors, whose sum is σ = 1183414887502848. Its totient is φ = 116641734048000.

The previous prime is 443023472050571. The next prime is 443023472050697. The reversal of 443023472050614 is 416050274320344.

443023472050614 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 2 + 3 + 4 + 7 + 20 + 5 + 0 + 614 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 443023472050614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7742294524 + ... + 7742351744.

It is an arithmetic number, because the mean of its divisors is an integer number (6163619205744).

Almost surely, 2443023472050614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443023472050614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591707443751424).

443023472050614 is an abundant number, since it is smaller than the sum of its proper divisors (740391415452234).

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

443023472050614 is a wasteful number, since it uses less digits than its factorization.

443023472050614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65243 (or 65240 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 443023472050614 in words is "four hundred forty-three trillion, twenty-three billion, four hundred seventy-two million, fifty thousand, six hundred fourteen".