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1444870144 = 211897927
BaseRepresentation
bin101011000011110…
…1111100000000000
310201200210000020001
41112013233200000
510424341321034
6355212325344
750543123254
oct12607574000
93650700201
101444870144
11681656363
12343a73854
131a045bc63
14d9c72264
1586ca9a14
hex561ef800

1444870144 has 48 divisors (see below), whose sum is σ = 2921864400. Its totient is φ = 714227712.

The previous prime is 1444870129. The next prime is 1444870151. The reversal of 1444870144 is 4410784441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178309 + ... + 186235.

It is an arithmetic number, because the mean of its divisors is an integer number (60872175).

Almost surely, 21444870144 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 1444870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460932200).

1444870144 is an abundant number, since it is smaller than the sum of its proper divisors (1476994256).

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

1444870144 is an frugal number, since it uses more digits than its factorization.

1444870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 1444870144 is about 38011.4475388665. The cubic root of 1444870144 is about 1130.5148524463.

The spelling of 1444870144 in words is "one billion, four hundred forty-four million, eight hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2048 2848 5696 7927 11392 15854 22784 31708 45568 63416 91136 126832 182272 253664 507328 705503 1014656 1411006 2029312 2822012 4058624 5644024 8117248 11288048 16234496 22576096 45152192 90304384 180608768 361217536 722435072 1444870144