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42231440000 = 2754677879
BaseRepresentation
bin100111010101001100…
…001010001010000000
311001000011220102201102
4213111030022022000
51142442222040000
631222330153532
73023351213531
oct472514121200
9131004812642
1042231440000
1116a01601a32
1282272828a8
133ca0471469
142088ab0688
1511728643d5
hex9d530a280

42231440000 has 160 divisors (see below), whose sum is σ = 106715215200. Its totient is φ = 16638336000.

The previous prime is 42231439997. The next prime is 42231440039. The reversal of 42231440000 is 4413224.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5356061 + ... + 5363939.

It is an arithmetic number, because the mean of its divisors is an integer number (666970095).

Almost surely, 242231440000 is an apocalyptic number.

42231440000 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 42231440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53357607600).

42231440000 is an abundant number, since it is smaller than the sum of its proper divisors (64483775200).

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

42231440000 is an frugal number, since it uses more digits than its factorization.

42231440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42231440000 its reverse (4413224), we get a palindrome (42235853224).

The spelling of 42231440000 in words is "forty-two billion, two hundred thirty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 128 134 160 200 250 268 320 335 400 500 536 625 640 670 800 1000 1072 1250 1340 1600 1675 2000 2144 2500 2680 3200 3350 4000 4288 5000 5360 6700 7879 8000 8375 8576 10000 10720 13400 15758 16000 16750 20000 21440 26800 31516 33500 39395 40000 41875 42880 53600 63032 67000 78790 80000 83750 107200 126064 134000 157580 167500 196975 214400 252128 268000 315160 335000 393950 504256 527893 536000 630320 670000 787900 984875 1008512 1055786 1072000 1260640 1340000 1575800 1969750 2111572 2521280 2639465 2680000 3151600 3939500 4223144 4924375 5042560 5278930 5360000 6303200 7879000 8446288 9848750 10557860 12606400 13197325 15758000 16892576 19697500 21115720 25212800 26394650 31516000 33785152 39395000 42231440 52789300 63032000 65986625 67570304 78790000 84462880 105578600 126064000 131973250 157580000 168925760 211157200 263946500 315160000 329933125 337851520 422314400 527893000 630320000 659866250 844628800 1055786000 1319732500 1689257600 2111572000 2639465000 4223144000 5278930000 8446288000 10557860000 21115720000 42231440000