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42001222210064 = 24134183563105397
BaseRepresentation
bin10011000110011001010111…
…11011100001001000010000
312111201021111101120120021222
421203030223323201020100
521001122000341210224
6225155032313304212
711563326304132325
oct1143145373411020
9174637441516258
1042001222210064
1112423688a71417
124864150405068
131a589100cb650
14a52c273dab4c
154cc835170b5e
hex26332bee1210

42001222210064 has 160 divisors (see below), whose sum is σ = 91018522191744. Its totient is φ = 18651145973760.

The previous prime is 42001222210063. The next prime is 42001222210099. The reversal of 42001222210064 is 46001222210024.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (42001222210063) 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, 398452214 + ... + 398557610.

Almost surely, 242001222210064 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 42001222210064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45509261095872).

42001222210064 is an abundant number, since it is smaller than the sum of its proper divisors (49017299981680).

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

42001222210064 is a wasteful number, since it uses less digits than its factorization.

42001222210064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106105 (or 106099 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 42001222210064 its reverse (46001222210024), we get a palindrome (88002444420088).

The spelling of 42001222210064 in words is "forty-two trillion, one billion, two hundred twenty-two million, two hundred ten thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 83 104 164 166 208 328 332 533 563 656 664 1066 1079 1126 1328 2132 2158 2252 3403 4264 4316 4504 6806 7319 8528 8632 9008 13612 14638 17264 23083 27224 29276 44239 46166 46729 54448 58552 88478 92332 93458 105397 117104 176956 184664 186916 210794 300079 353912 369328 373832 421588 600158 607477 707824 747664 843176 1200316 1214954 1370161 1686352 1915889 2400632 2429908 2740322 3831778 4321277 4801264 4859816 5480644 7663556 8642554 8747951 9719632 10961288 15327112 17285108 17495902 21922576 24906557 30654224 34570216 34991804 49813114 56176601 59338511 69140432 69983608 99626228 112353202 113723363 118677022 139967216 199252456 224706404 227446726 237354044 358665991 398504912 449412808 454893452 474708088 717331982 771400643 898825616 909786904 949416176 1434663964 1542801286 1819573808 2432878951 2869327928 3085602572 4662657883 4865757902 4925096413 5738655856 6171205144 9325315766 9731515804 9850192826 12342410288 18650631532 19463031608 19700385652 31627426363 37301263064 38926063216 39400771304 63254852726 64026253369 74602526128 78801542608 126509705452 128052506738 201928952933 253019410904 256105013476 403857905866 506038821808 512210026952 807715811732 1024420053904 1615431623464 2625076388129 3230863246928 5250152776258 10500305552516 21000611105032 42001222210064