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7444974420 = 223251323433217
BaseRepresentation
bin1101110111100000…
…10100101101010100
3201012212000212221100
412323300110231110
5110221403140140
63230431350100
7352331144532
oct67360245524
921185025840
107444974420
113180548524
121539382330
13918563310
14508aab152
152d8913530
hex1bbc14b54

7444974420 has 288 divisors, whose sum is σ = 25975901952. Its totient is φ = 1711632384.

The previous prime is 7444974419. The next prime is 7444974431. The reversal of 7444974420 is 244794447.

It is a happy number.

It is a super-2 number, since 2×74449744202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2312652 + ... + 2315868.

It is an arithmetic number, because the mean of its divisors is an integer number (90194104).

Almost surely, 27444974420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7444974420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987950976).

7444974420 is an abundant number, since it is smaller than the sum of its proper divisors (18530927532).

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

7444974420 is a wasteful number, since it uses less digits than its factorization.

7444974420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 7444974420 is about 86284.2651936029. The cubic root of 7444974420 is about 1952.6350018655.

The spelling of 7444974420 in words is "seven billion, four hundred forty-four million, nine hundred seventy-four thousand, four hundred twenty".