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44214324144 = 24316717331883
BaseRepresentation
bin101001001011011000…
…010000101110110000
311020010101001101101220
4221023120100232300
51211022331333034
632151202225040
73123446361054
oct511330205660
9136111041356
1044214324144
1117829919161
12869b355180
1342282050a3
1421d6191c64
15123b995749
hexa4b610bb0

44214324144 has 80 divisors (see below), whose sum is σ = 115572102912. Its totient is φ = 14564717824.

The previous prime is 44214324139. The next prime is 44214324173. The reversal of 44214324144 is 44142341244.

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, 1370827 + ... + 1402709.

Almost surely, 244214324144 is an apocalyptic number.

It is an amenable number.

44214324144 is an abundant number, since it is smaller than the sum of its proper divisors (71357778768).

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

44214324144 is a wasteful number, since it uses less digits than its factorization.

44214324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32234 (or 32228 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 44214324144 its reverse (44142341244), we get a palindrome (88356665388).

The spelling of 44214324144 in words is "forty-four billion, two hundred fourteen million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 173 334 346 501 519 668 692 1002 1038 1336 1384 2004 2076 2672 2768 4008 4152 8016 8304 28891 31883 57782 63766 86673 95649 115564 127532 173346 191298 231128 255064 346692 382596 462256 510128 693384 765192 1386768 1530384 5324461 5515759 10648922 11031518 15973383 16547277 21297844 22063036 31946766 33094554 42595688 44126072 63893532 66189108 85191376 88252144 127787064 132378216 255574128 264756432 921131753 1842263506 2763395259 3684527012 5526790518 7369054024 11053581036 14738108048 22107162072 44214324144