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42771000231312 = 24343202710223179
BaseRepresentation
bin10011011100110011001100…
…10001101000010110010000
312121102212102112201201022020
421232121212101220112100
521101230002024400222
6230544420512011440
712003050154301203
oct1156314621502620
9177385375651266
1042771000231312
11126a0096658171
124969381530b80
131ab3398a01952
14a7c1ada5393a
154e288a0dc65c
hex26e666468590

42771000231312 has 80 divisors (see below), whose sum is σ = 113117114922240. Its totient is φ = 13918570598016.

The previous prime is 42771000231287. The next prime is 42771000231329. The reversal of 42771000231312 is 21313200017724.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927862 + ... + 9295317.

It is an arithmetic number, because the mean of its divisors is an integer number (1413963936528).

Almost surely, 242771000231312 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 42771000231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56558557461120).

42771000231312 is an abundant number, since it is smaller than the sum of its proper divisors (70346114690928).

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

42771000231312 is a wasteful number, since it uses less digits than its factorization.

42771000231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225260 (or 10225254 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 42771000231312 in words is "forty-two trillion, seven hundred seventy-one billion, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2027 2064 4054 6081 8108 12162 16216 24324 32432 48648 87161 97296 174322 261483 348644 522966 697288 1045932 1394576 2091864 4183728 10223179 20446358 30669537 40892716 61339074 81785432 122678148 163570864 245356296 439596697 490712592 879193394 1318790091 1758386788 2637580182 3516773576 5275160364 7033547152 10550320728 20722383833 21100641456 41444767666 62167151499 82889535332 124334302998 165779070664 248668605996 331558141328 497337211992 891062504819 994674423984 1782125009638 2673187514457 3564250019276 5346375028914 7128500038552 10692750057828 14257000077104 21385500115656 42771000231312