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42440123440 = 245111331119671
BaseRepresentation
bin100111100001101000…
…001110010000110000
311001112201120122120201
4213201220032100300
51143404132422230
631255143044544
73031464045211
oct474150162060
9131481518521
1042440123440
1116aa9385990
128285140754
134004778ca0
1420a86b3408
151185d365ca
hex9e1a0e430

42440123440 has 160 divisors (see below), whose sum is σ = 119664340992. Its totient is φ = 13785984000.

The previous prime is 42440123437. The next prime is 42440123441. The reversal of 42440123440 is 4432104424.

It is a junction number, because it is equal to n+sod(n) for n = 42440123399 and 42440123408.

It is not an unprimeable number, because it can be changed into a prime (42440123441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294805 + ... + 414475.

Almost surely, 242440123440 is an apocalyptic number.

42440123440 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 42440123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59832170496).

42440123440 is an abundant number, since it is smaller than the sum of its proper divisors (77224217552).

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

42440123440 is a wasteful number, since it uses less digits than its factorization.

42440123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119739 (or 119733 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42440123440 its reverse (4432104424), we get a palindrome (46872227864).

The spelling of 42440123440 in words is "forty-two billion, four hundred forty million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 341 403 440 496 520 572 620 682 715 806 880 1040 1144 1240 1364 1430 1612 1705 2015 2288 2480 2728 2860 3224 3410 4030 4433 5456 5720 6448 6820 8060 8866 11440 13640 16120 17732 22165 27280 32240 35464 44330 70928 88660 119671 177320 239342 354640 478684 598355 957368 1196710 1316381 1555723 1914736 2393420 2632762 3111446 3709801 4786840 5265524 6222892 6581905 7419602 7778615 9573680 10531048 12445784 13163810 14839204 15557230 17112953 18549005 21062096 24891568 26327620 29678408 31114460 34225906 37098010 40807811 48227413 52655240 59356816 62228920 68451812 74196020 81615622 85564765 96454826 105310480 124457840 136903624 148392040 163231244 171129530 192909652 204039055 241137065 273807248 296784080 326462488 342259060 385819304 408078110 482274130 530501543 652924976 684518120 771638608 816156220 964548260 1061003086 1369036240 1632312440 1929096520 2122006172 2652507715 3264624880 3858193040 4244012344 5305015430 8488024688 10610030860 21220061720 42440123440