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43441212144 = 243113117914827
BaseRepresentation
bin101000011101010011…
…000100101011110000
311011010111022020010010
4220131103010223300
51202431422242034
631542343534520
73065341132161
oct503523045360
9134114266103
1043441212144
1117472482720
12850445a440
134133ca7875
142161625768
1511e3b803e9
hexa1d4c4af0

43441212144 has 160 divisors (see below), whose sum is σ = 127089008640. Its totient is φ = 12667334400.

The previous prime is 43441212137. The next prime is 43441212169. The reversal of 43441212144 is 44121214434.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922459 + ... + 2937285.

It is an arithmetic number, because the mean of its divisors is an integer number (794306304).

Almost surely, 243441212144 is an apocalyptic number.

43441212144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43441212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63544504320).

43441212144 is an abundant number, since it is smaller than the sum of its proper divisors (83647796496).

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

43441212144 is a wasteful number, since it uses less digits than its factorization.

43441212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15059 (or 15053 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 43441212144 its reverse (44121214434), we get a palindrome (87562426578).

The spelling of 43441212144 in words is "forty-three billion, four hundred forty-one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 179 186 248 264 341 358 372 496 528 537 682 716 744 1023 1074 1364 1432 1488 1969 2046 2148 2728 2864 3938 4092 4296 5456 5549 5907 7876 8184 8592 11098 11814 14827 15752 16368 16647 22196 23628 29654 31504 33294 44392 44481 47256 59308 61039 66588 88784 88962 94512 118616 122078 133176 163097 177924 183117 237232 244156 266352 326194 355848 366234 459637 488312 489291 652388 711696 732468 919274 976624 978582 1304776 1378911 1464936 1838548 1957164 2609552 2654033 2757822 2929872 3677096 3914328 5056007 5308066 5515644 7354192 7828656 7962099 10112014 10616132 11031288 15168021 15924198 20224028 21232264 22062576 29194363 30336042 31848396 40448056 42464528 58388726 60672084 63696792 80896112 82275023 87583089 116777452 121344168 127393584 164550046 175166178 233554904 242688336 246825069 329100092 350332356 467109808 493650138 658200184 700664712 905025253 987300276 1316400368 1401329424 1810050506 1974600552 2715075759 3620101012 3949201104 5430151518 7240202024 10860303036 14480404048 21720606072 43441212144