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4143044220040 = 23511197439108877
BaseRepresentation
bin111100010010100000101…
…011011101010010001000
3112200001220212121222111201
4330102200223131102020
51020334423310020130
612451142132033544
7605216332550365
oct74224053352210
915601825558451
104143044220040
1113580674a9340
1256ab491628b4
132408c228555b
1410474ada546c
1572b840a7bca
hex3c4a0add488

4143044220040 has 128 divisors (see below), whose sum is σ = 10244287468800. Its totient is φ = 1495485895680.

The previous prime is 4143044220037. The next prime is 4143044220071. The reversal of 4143044220040 is 400224403414.

It is a junction number, because it is equal to n+sod(n) for n = 4143044219990 and 4143044220008.

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, 37998082 + ... + 38106958.

It is an arithmetic number, because the mean of its divisors is an integer number (80033495850).

Almost surely, 24143044220040 is an apocalyptic number.

4143044220040 is a gapful number since it is divisible by the number (40) 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 4143044220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122143734400).

4143044220040 is an abundant number, since it is smaller than the sum of its proper divisors (6101243248760).

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

4143044220040 is a wasteful number, since it uses less digits than its factorization.

4143044220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109535 (or 109531 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4143044220040 its reverse (400224403414), we get a palindrome (4543268623454).

The spelling of 4143044220040 in words is "four trillion, one hundred forty-three billion, forty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 439 440 788 878 985 1576 1756 1970 2167 2195 3512 3940 4334 4390 4829 7880 8668 8780 9658 10835 17336 17560 19316 21670 24145 38632 43340 48290 86483 86680 96580 108877 172966 193160 217754 345932 432415 435508 544385 691864 864830 871016 951313 1088770 1197647 1729660 1902626 2177540 2395294 3459320 3805252 4355080 4756565 4790588 5988235 7610504 9513130 9581176 11976470 19026260 21448769 23952940 38052520 42897538 47797003 47905880 85795076 95594006 107243845 171590152 191188012 214487690 235936459 238985015 382376024 428975380 471872918 477970030 525767033 857950760 943745836 955940060 1051534066 1179682295 1887491672 1911880120 2103068132 2359364590 2628835165 4206136264 4718729180 5257670330 9416009591 9437458360 10515340660 18832019182 21030681320 37664038364 47080047955 75328076728 94160095910 103576105501 188320191820 207152211002 376640383640 414304422004 517880527505 828608844008 1035761055010 2071522110020 4143044220040