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4432140043000 = 235323275369997
BaseRepresentation
bin100000001111111000000…
…1000100000001011111000
3120200201010110102102101221
41000133300020200023320
51040104010322334000
613232032542521424
7635132363524315
oct100376010401370
916621113372357
104432140043000
111459729565a7a
125b6b8a896274
13261c44c99ca7
14114733c5bd0c
157a45430461a
hex407f02202f8

4432140043000 has 128 divisors (see below), whose sum is σ = 10826215470720. Its totient is φ = 1695135129600.

The previous prime is 4432140042991. The next prime is 4432140043081. The reversal of 4432140043000 is 3400412344.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 63284002 + ... + 63353998.

It is an arithmetic number, because the mean of its divisors is an integer number (84579808365).

Almost surely, 24432140043000 is an apocalyptic number.

4432140043000 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 4432140043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413107735360).

4432140043000 is an abundant number, since it is smaller than the sum of its proper divisors (6394075427720).

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

4432140043000 is a wasteful number, since it uses less digits than its factorization.

4432140043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72794 (or 72780 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4432140043000 its reverse (3400412344), we get a palindrome (4435540455344).

The spelling of 4432140043000 in words is "four trillion, four hundred thirty-two billion, one hundred forty million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2753 2875 4600 5506 5750 11012 11500 13765 22024 23000 27530 55060 63319 68825 69997 110120 126638 137650 139994 253276 275300 279988 316595 344125 349985 506552 550600 559976 633190 688250 699970 1266380 1376500 1399940 1582975 1609931 1749925 2532760 2753000 2799880 3165950 3219862 3499850 6331900 6439724 6999700 7914875 8049655 8749625 12663800 12879448 13999400 15829750 16099310 17499250 31659500 32198620 34998500 40248275 63319000 64397240 69997000 80496550 160993100 192701741 201241375 321986200 385403482 402482750 770806964 804965500 963508705 1541613928 1609931000 1927017410 3854034820 4432140043 4817543525 7708069640 8864280086 9635087050 17728560172 19270174100 22160700215 24087717625 35457120344 38540348200 44321400430 48175435250 88642800860 96350870500 110803501075 177285601720 192701741000 221607002150 443214004300 554017505375 886428008600 1108035010750 2216070021500 4432140043000