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4444231344 = 243714988771
BaseRepresentation
bin1000010001110010…
…11001011010110000
3102110201121100021220
410020321121122300
533100210400334
62012555145040
7215063225460
oct41071313260
912421540256
104444231344
11198071a873
12a40445180
1355a97b7b7
1430234dba0
151b0274449
hex108e596b0

4444231344 has 80 divisors (see below), whose sum is σ = 13209273600. Its totient is φ = 1261244160.

The previous prime is 4444231339. The next prime is 4444231381. The reversal of 4444231344 is 4431324444.

It is a super-3 number, since 3×44442313443 (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5679 + ... + 94449.

It is an arithmetic number, because the mean of its divisors is an integer number (165115920).

Almost surely, 24444231344 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 4444231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604636800).

4444231344 is an abundant number, since it is smaller than the sum of its proper divisors (8765042256).

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

4444231344 is a wasteful number, since it uses less digits than its factorization.

4444231344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88938 (or 88932 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 4444231344 is about 66665.0683941748. The cubic root of 4444231344 is about 1644.1151049225.

Adding to 4444231344 its reverse (4431324444), we get a palindrome (8875555788).

The spelling of 4444231344 in words is "four billion, four hundred forty-four million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 298 336 447 596 894 1043 1192 1788 2086 2384 3129 3576 4172 6258 7152 8344 12516 16688 25032 50064 88771 177542 266313 355084 532626 621397 710168 1065252 1242794 1420336 1864191 2130504 2485588 3728382 4261008 4971176 7456764 9942352 13226879 14913528 26453758 29827056 39680637 52907516 79361274 92588153 105815032 158722548 185176306 211630064 277764459 317445096 370352612 555528918 634890192 740705224 1111057836 1481410448 2222115672 4444231344