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42010001280 = 27325133759257
BaseRepresentation
bin100111000111111111…
…011011111110000000
311000102202020011220100
4213013333123332000
51142014030020110
631144340042400
73015022055562
oct470777337600
9130382204810
1042010001280
11168a8606825
128185093400
133c6661bc30
14206750b332
15115d1c2bc0
hex9c7fdbf80

42010001280 has 768 divisors, whose sum is σ = 163801310400. Its totient is φ = 9852420096.

The previous prime is 42010001213. The next prime is 42010001287. The reversal of 42010001280 is 8210001024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010001287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163462912 + ... + 163463168.

Almost surely, 242010001280 is an apocalyptic number.

42010001280 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 42010001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900655200).

42010001280 is an abundant number, since it is smaller than the sum of its proper divisors (121791309120).

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

42010001280 is a wasteful number, since it uses less digits than its factorization.

42010001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 42010001280 in words is "forty-two billion, ten million, one thousand, two hundred eighty".