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42321440040 = 233511317101141
BaseRepresentation
bin100111011010100011…
…011110110100101000
311001020110020220120020
4213122203132310220
51143133242040130
631235303200440
73025523206365
oct473243366450
9131213226506
1042321440040
1116a48393330
128251446120
133cb5cc3419
142096a1b46c
15117a6e0e10
hex9da8ded28

42321440040 has 128 divisors (see below), whose sum is σ = 138944833920. Its totient is φ = 10227276800.

The previous prime is 42321440017. The next prime is 42321440069. The reversal of 42321440040 is 4004412324.

It is a happy number.

It is a super-2 number, since 2×423214400402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367870 + ... + 469010.

It is an arithmetic number, because the mean of its divisors is an integer number (1085506515).

Almost surely, 242321440040 is an apocalyptic number.

42321440040 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 42321440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69472416960).

42321440040 is an abundant number, since it is smaller than the sum of its proper divisors (96623393880).

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

42321440040 is a wasteful number, since it uses less digits than its factorization.

42321440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101483 (or 101479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42321440040 its reverse (4004412324), we get a palindrome (46325852364).

The spelling of 42321440040 in words is "forty-two billion, three hundred twenty-one million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 317 330 440 634 660 951 1268 1320 1585 1902 2536 3170 3487 3804 4755 6340 6974 7608 9510 10461 12680 13948 17435 19020 20922 27896 34870 38040 41844 52305 69740 83688 101141 104610 139480 202282 209220 303423 404564 418440 505705 606846 809128 1011410 1112551 1213692 1517115 2022820 2225102 2427384 3034230 3337653 4045640 4450204 5562755 6068460 6675306 8900408 11125510 12136920 13350612 16688265 22251020 26701224 32061697 33376530 44502040 64123394 66753060 96185091 128246788 133506120 160308485 192370182 256493576 320616970 352678667 384740364 480925455 641233940 705357334 769480728 961850910 1058036001 1282467880 1410714668 1763393335 1923701820 2116072002 2821429336 3526786670 3847403640 4232144004 5290180005 7053573340 8464288008 10580360010 14107146680 21160720020 42321440040