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42231005520 = 24351189179737
BaseRepresentation
bin100111010101001010…
…100000000101010000
311001000011002100201120
4213111022200011100
51142442114134040
631222313002240
73023344424034
oct472512400520
9131004070646
1042231005520
1116a01335560
1282270b3380
133ca034b782
1420889da1c4
1511727ca7d0
hex9d52a0150

42231005520 has 160 divisors (see below), whose sum is σ = 144423077760. Its totient is φ = 10122731520.

The previous prime is 42231005503. The next prime is 42231005561. The reversal of 42231005520 is 2550013224.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 145092 + ... + 324828.

It is an arithmetic number, because the mean of its divisors is an integer number (902644236).

Almost surely, 242231005520 is an apocalyptic number.

42231005520 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 42231005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72211538880).

42231005520 is an abundant number, since it is smaller than the sum of its proper divisors (102192072240).

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

42231005520 is a wasteful number, since it uses less digits than its factorization.

42231005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179853 (or 179847 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 42231005520 its reverse (2550013224), we get a palindrome (44781018744).

The spelling of 42231005520 in words is "forty-two billion, two hundred thirty-one million, five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 89 110 120 132 165 176 178 220 240 264 267 330 356 440 445 528 534 660 712 880 890 979 1068 1320 1335 1424 1780 1958 2136 2640 2670 2937 3560 3916 4272 4895 5340 5874 7120 7832 9790 10680 11748 14685 15664 19580 21360 23496 29370 39160 46992 58740 78320 117480 179737 234960 359474 539211 718948 898685 1078422 1437896 1797370 1977107 2156844 2696055 2875792 3594740 3954214 4313688 5392110 5931321 7189480 7908428 8627376 9885535 10784220 11862642 14378960 15816856 15996593 19771070 21568440 23725284 29656605 31633712 31993186 39542140 43136880 47450568 47989779 59313210 63986372 79084280 79982965 94901136 95979558 118626420 127972744 158168560 159965930 175962523 191959116 237252840 239948895 255945488 319931860 351925046 383918232 474505680 479897790 527887569 639863720 703850092 767836464 879812615 959795580 1055775138 1279727440 1407700184 1759625230 1919591160 2111550276 2639437845 2815400368 3519250460 3839182320 4223100552 5278875690 7038500920 8446201104 10557751380 14077001840 21115502760 42231005520