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42424686815880 = 23351733659955837
BaseRepresentation
bin10011010010101110001000…
…11000110010101010001000
312120012202112100221102020110
421221113010120302222020
521030041224311102010
6230121344305354320
711636040200653665
oct1151270430625210
9176182470842213
1042424686815880
1112577232775426
1249122319389a0
131a89827b3a915
14a69519a6ca6c
154d886ba50120
hex2695c4632a88

42424686815880 has 128 divisors (see below), whose sum is σ = 128015538912000. Its totient is φ = 11247346547712.

The previous prime is 42424686815867. The next prime is 42424686815897. The reversal of 42424686815880 is 8851868642424.

It is a super-3 number, since 3×424246868158803 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759767322 + ... + 759823158.

It is an arithmetic number, because the mean of its divisors is an integer number (1000121397750).

Almost surely, 242424686815880 is an apocalyptic number.

42424686815880 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 42424686815880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64007769456000).

42424686815880 is an abundant number, since it is smaller than the sum of its proper divisors (85590852096120).

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

42424686815880 is a wasteful number, since it uses less digits than its factorization.

42424686815880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92623 (or 92619 counting only the distinct ones).

The product of its (nonzero) digits is 188743680, while the sum is 66.

The spelling of 42424686815880 in words is "forty-two trillion, four hundred twenty-four billion, six hundred eighty-six million, eight hundred fifteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 10380 20760 36599 55837 73198 109797 111674 146396 167511 182995 219594 223348 279185 292792 335022 365990 439188 446696 548985 558370 670044 731980 837555 878376 1097970 1116740 1340088 1463960 1675110 2195940 2233480 3350220 4391880 6331627 6700440 9659801 12663254 18994881 19319602 25326508 28979403 31658135 37989762 38639204 48299005 50653016 57958806 63316270 75979524 77278408 94974405 96598010 115917612 126632540 144897015 151959048 189948810 193196020 231835224 253265080 289794030 379897620 386392040 579588060 759795240 1159176120 2043578363 4087156726 6130735089 8174313452 10217891815 12261470178 16348626904 20435783630 24522940356 30653675445 40871567260 49045880712 61307350890 81743134520 122614701780 245229403560 353539056799 707078113598 1060617170397 1414156227196 1767695283995 2121234340794 2828312454392 3535390567990 4242468681588 5303085851985 7070781135980 8484937363176 10606171703970 14141562271960 21212343407940 42424686815880