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42340365342 = 232111729214957
BaseRepresentation
bin100111011011101011…
…101011010000011110
311001021202212102012100
4213123223223100132
51143203113142332
631241220545530
73026143111242
oct473353532036
9131252772170
1042340365342
1116a5803a180
1282578522a6
133cb9bbb622
142099346422
15117c1cd67c
hex9dbaeb41e

42340365342 has 144 divisors (see below), whose sum is σ = 109751393232. Its totient is φ = 11658501120.

The previous prime is 42340365341. The next prime is 42340365367. The reversal of 42340365342 is 24356304324.

It is a junction number, because it is equal to n+sod(n) for n = 42340365297 and 42340365306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42340365341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2823328 + ... + 2838284.

It is an arithmetic number, because the mean of its divisors is an integer number (762162453).

Almost surely, 242340365342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42340365342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54875696616).

42340365342 is an abundant number, since it is smaller than the sum of its proper divisors (67411027890).

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

42340365342 is a wasteful number, since it uses less digits than its factorization.

42340365342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15051 (or 15019 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 42340365342 its reverse (24356304324), we get a palindrome (66696669666).

The spelling of 42340365342 in words is "forty-two billion, three hundred forty million, three hundred sixty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 153 174 187 198 261 306 319 374 493 522 561 638 841 957 986 1122 1479 1682 1683 1914 2523 2871 2958 3366 4437 5046 5423 5742 7569 8874 9251 10846 14297 14957 15138 16269 18502 27753 28594 29914 32538 42891 44871 48807 55506 83259 85782 89742 97614 128673 134613 157267 164527 166518 254269 257346 269226 314534 329054 433753 471801 493581 508538 762807 867506 943602 987162 1301259 1415403 1480743 1525614 2288421 2602518 2796959 2830806 2961486 3903777 4576842 4771283 5593918 7373801 7807554 8390877 9542566 12578837 14313849 14747602 16781754 22121403 25157674 25172631 28627698 37736511 42941547 44242806 50345262 66364209 75473022 81111811 85883094 113209533 132728418 138367207 162223622 213840229 226419066 243335433 276734414 415101621 427680458 486670866 641520687 730006299 830203242 1245304863 1283041374 1460012598 1924562061 2352242519 2490609726 3849124122 4704485038 7056727557 14113455114 21170182671 42340365342