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42431223340 = 225113137168151
BaseRepresentation
bin100111100001000110…
…010001011000101100
311001112002211110221101
4213201012101120230
51143344343121330
631254224212444
73031325306332
oct474106213054
9131462743841
1042431223340
1116aa4357130
12828216a124
134002980c5c
1420a7437b52
1511851794ca
hex9e119162c

42431223340 has 96 divisors (see below), whose sum is σ = 103054307328. Its totient is φ = 14528160000.

The previous prime is 42431223311. The next prime is 42431223349. The reversal of 42431223340 is 4332213424.

It is a junction number, because it is equal to n+sod(n) for n = 42431223299 and 42431223308.

It is not an unprimeable number, because it can be changed into a prime (42431223349) 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, 168265 + ... + 336415.

It is an arithmetic number, because the mean of its divisors is an integer number (1073482368).

Almost surely, 242431223340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42431223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51527153664).

42431223340 is an abundant number, since it is smaller than the sum of its proper divisors (60623083988).

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

42431223340 is a wasteful number, since it uses less digits than its factorization.

42431223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168239 (or 168237 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42431223340 its reverse (4332213424), we get a palindrome (46763436764).

The spelling of 42431223340 in words is "forty-two billion, four hundred thirty-one million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 37 44 55 62 74 110 124 148 155 185 220 310 341 370 407 620 682 740 814 1147 1364 1628 1705 2035 2294 3410 4070 4588 5735 6820 8140 11470 12617 22940 25234 50468 63085 126170 168151 252340 336302 672604 840755 1681510 1849661 3363020 3699322 5212681 6221587 7398644 9248305 10425362 12443174 18496610 20850724 24886348 26063405 31107935 36993220 52126810 57339491 62215870 68437457 104253620 114678982 124431740 136874914 192869197 229357964 273749828 286697455 342187285 385738394 573394910 684374570 771476788 964345985 1146789820 1368749140 1928691970 2121561167 3857383940 4243122334 8486244668 10607805835 21215611670 42431223340