Search a number
-
+
3722244793344 = 2103672112292
BaseRepresentation
bin110110001010100111000…
…101000010010000000000
3111011211202122021021000000
4312022213011002100000
5441441124131341334
611525550424000000
7532631460464400
oct66124705022000
914154678237000
103722244793344
111205660168900
12501490300000
1321001075a64c
14cc22c6a0800
1566c56681299
hex362a7142400

3722244793344 has 2079 divisors, whose sum is σ = 14773474818921. Its totient is φ = 933478318080.

The previous prime is 3722244793277. The next prime is 3722244793369. The reversal of 3722244793344 is 4433974422273.

The square root of 3722244793344 is 1929312.

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

3722244793344 is a `hidden beast` number, since 3 + 7 + 2 + 224 + 4 + 79 + 3 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1951854879744 + 1770389913600 = 1397088^2 + 1330560^2 .

It is a tau number, because it is divible by the number of its divisors (2079).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 128353268722 + ... + 128353268750.

Almost surely, 23722244793344 is an apocalyptic number.

3722244793344 is the 1929312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3722244793344

3722244793344 is an abundant number, since it is smaller than the sum of its proper divisors (11051230025577).

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

3722244793344 is an equidigital number, since it uses as much as digits as its factorization.

3722244793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 52 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 54.

The spelling of 3722244793344 in words is "three trillion, seven hundred twenty-two billion, two hundred forty-four million, seven hundred ninety-three thousand, three hundred forty-four".