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412421213310000 = 2435413747373777
BaseRepresentation
bin101110111000110000100101…
…1111010101100110000110000
32000002021002020110111101121020
41131301201023322230300300
5413024102121101410000
64021051405000055440
7152604310064004606
oct13561411372546060
92002232213441536
10412421213310000
1110a456944129654
123a309bb1a64580
13149181cc4280bb
1473bb4168a7876
1532a304ee7cba0
hex177184beacc30

412421213310000 has 100 divisors (see below), whose sum is σ = 1331350666156632. Its totient is φ = 109978990208000.

The previous prime is 412421213309999. The next prime is 412421213310019. The reversal of 412421213310000 is 13312124214.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×4124212133100002 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6873656889 + ... + 6873716888.

Almost surely, 2412421213310000 is an apocalyptic number.

412421213310000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412421213310000 is an abundant number, since it is smaller than the sum of its proper divisors (918929452846632).

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

412421213310000 is a wasteful number, since it uses less digits than its factorization.

412421213310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13747373808 (or 13747373787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 412421213310000 its reverse (13312124214), we get a palindrome (412434525434214).

The spelling of 412421213310000 in words is "four hundred twelve trillion, four hundred twenty-one billion, two hundred thirteen million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 13747373777 27494747554 41242121331 54989495108 68736868885 82484242662 109978990216 137473737770 164968485324 206210606655 219957980432 274947475540 329936970648 343684344425 412421213310 549894951080 659873941296 687368688850 824842426620 1031053033275 1099789902160 1374737377700 1649684853240 1718421722125 2062106066550 2749474755400 3299369706480 3436843444250 4124212133100 5155265166375 5498949510800 6873686888500 8248424266200 8592108610625 10310530332750 13747373777000 16496848532400 17184217221250 20621060665500 25776325831875 27494747554000 34368434442500 41242121331000 51552651663750 68736868885000 82484242662000 103105303327500 137473737770000 206210606655000 412421213310000