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4221454144 = 261714272719
BaseRepresentation
bin1111101110011110…
…0100011101000000
3101220012102002102111
43323213210131000
532121143013034
61534520225104
7206416524325
oct37347443500
911805362374
104221454144
11187699aa86
1299990b194
1352377ac7b
142c091cb4c
1519a91b364
hexfb9e4740

4221454144 has 56 divisors (see below), whose sum is σ = 8879189760. Its totient is φ = 1984444416.

The previous prime is 4221454121. The next prime is 4221454163. The reversal of 4221454144 is 4414541224.

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 7 ways as a sum of consecutive naturals, for example, 1551217 + ... + 1553935.

It is an arithmetic number, because the mean of its divisors is an integer number (158556960).

Almost surely, 24221454144 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 4221454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439594880).

4221454144 is an abundant number, since it is smaller than the sum of its proper divisors (4657735616).

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

4221454144 is a wasteful number, since it uses less digits than its factorization.

4221454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4165 counting only the distinct ones).

The product of its digits is 20480, while the sum is 31.

The square root of 4221454144 is about 64972.7184593657. The cubic root of 4221454144 is about 1616.1711824020.

Adding to 4221454144 its reverse (4414541224), we get a palindrome (8635995368).

The spelling of 4221454144 in words is "four billion, two hundred twenty-one million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1427 2719 2854 5438 5708 10876 11416 21752 22832 24259 43504 45664 46223 48518 87008 91328 92446 97036 174016 184892 194072 369784 388144 739568 776288 1479136 1552576 2958272 3880013 7760026 15520052 31040104 62080208 65960221 124160416 131920442 248320832 263840884 527681768 1055363536 2110727072 4221454144