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44315302144 = 285922232
BaseRepresentation
bin101001010001011001…
…011101100100000000
311020101102001121011211
4221101121131210000
51211224204132034
632205210415504
73126113565421
oct512131354400
9136342047154
1044315302144
1117880918453
128709131594
1342430cba99
142205759648
15124578ed64
hexa5165d900

44315302144 has 81 divisors (see below), whose sum is σ = 90387505803. Its totient is φ = 21684420096.

The previous prime is 44315302123. The next prime is 44315302151. The reversal of 44315302144 is 44120351344.

The square root of 44315302144 is 210512.

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

It is a super-2 number, since 2×443153021442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198723217 + ... + 198723439.

Almost surely, 244315302144 is an apocalyptic number.

44315302144 is the 210512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44315302144

44315302144 is an abundant number, since it is smaller than the sum of its proper divisors (46072203659).

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

44315302144 is an frugal number, since it uses more digits than its factorization.

44315302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 44315302144 its reverse (44120351344), we get a palindrome (88435653488).

The spelling of 44315302144 in words is "forty-four billion, three hundred fifteen million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 223 236 256 446 472 892 944 1784 1888 3481 3568 3776 6962 7136 7552 13157 13924 14272 15104 26314 27848 28544 49729 52628 55696 57088 99458 105256 111392 198916 210512 222784 397832 421024 445568 776263 795664 842048 891136 1552526 1591328 1684096 2934011 3105052 3182656 3368192 5868022 6210104 6365312 11736044 12420208 12730624 23472088 24840416 46944176 49680832 93888352 99361664 173106649 187776704 198723328 346213298 375553408 692426596 751106816 1384853192 2769706384 5539412768 11078825536 22157651072 44315302144