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42403441344 = 2631121825217
BaseRepresentation
bin100111011111011100…
…010010101011000000
311001110011120000012120
4213133130102223000
51143320240110334
631251352524240
73030540206265
oct473734225300
9131404500176
1042403441344
1116a8a701100
1282749b0680
133cc9ca46c4
1420a388526c
1511829dc949
hex9df712ac0

42403441344 has 84 divisors (see below), whose sum is σ = 123319028952. Its totient is φ = 12849520640.

The previous prime is 42403441321. The next prime is 42403441351. The reversal of 42403441344 is 44314430424.

42403441344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 889377 + ... + 935840.

It is an arithmetic number, because the mean of its divisors is an integer number (1468083678).

Almost surely, 242403441344 is an apocalyptic number.

42403441344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42403441344 is an abundant number, since it is smaller than the sum of its proper divisors (80915587608).

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

42403441344 is a wasteful number, since it uses less digits than its factorization.

42403441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825254 (or 1825233 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 42403441344 its reverse (44314430424), we get a palindrome (86717871768).

The spelling of 42403441344 in words is "forty-two billion, four hundred three million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 1825217 3650434 5475651 7300868 10951302 14601736 20077387 21902604 29203472 40154774 43805208 58406944 60232161 80309548 87610416 116813888 120464322 160619096 175220832 220851257 240928644 321238192 350441664 441702514 481857288 642476384 662553771 883405028 963714576 1284952768 1325107542 1766810056 1927429152 2650215084 3533620112 3854858304 5300430168 7067240224 10600860336 14134480448 21201720672 42403441344