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42110286000 = 2435323305147
BaseRepresentation
bin100111001101111101…
…111111100010110000
311000200201221011200020
4213031331333202300
51142220213123000
631202321323440
73020350345056
oct471575774260
9130621834606
1042110286000
111694a182162
1281b2796580
133c813321c3
1420769741d6
151166dd1ba0
hex9cdf7f8b0

42110286000 has 160 divisors (see below), whose sum is σ = 141666789888. Its totient is φ = 10741139200.

The previous prime is 42110285993. The next prime is 42110286007. The reversal of 42110286000 is 68201124.

It is an interprime number because it is at equal distance from previous prime (42110285993) and next prime (42110286007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42110286007) 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, 14574 + ... + 290573.

Almost surely, 242110286000 is an apocalyptic number.

42110286000 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 42110286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70833394944).

42110286000 is an abundant number, since it is smaller than the sum of its proper divisors (99556503888).

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

42110286000 is a wasteful number, since it uses less digits than its factorization.

42110286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305196 (or 305180 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 42110286000 its reverse (68201124), we get a palindrome (42178487124).

The spelling of 42110286000 in words is "forty-two billion, one hundred ten million, two hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 305147 610294 915441 1220588 1525735 1830882 2441176 3051470 3661764 4577205 4882352 6102940 7018381 7323528 7628675 9154410 12205880 14036762 14647056 15257350 18308820 21055143 22886025 24411760 28073524 30514700 35091905 36617640 38143375 42110286 45772050 56147048 61029400 70183810 73235280 76286750 84220572 91544100 105275715 112294096 114430125 122058800 140367620 152573500 168441144 175459525 183088200 210551430 228860250 280735240 305147000 336882288 350919050 366176400 421102860 457720500 526378575 561470480 610294000 701838100 842205720 877297625 915441000 1052757150 1403676200 1684411440 1754595250 1830882000 2105514300 2631892875 2807352400 3509190500 4211028600 5263785750 7018381000 8422057200 10527571500 14036762000 21055143000 42110286000