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842060298240 = 21132571776781
BaseRepresentation
bin11000100000011101011…
…01000111100000000000
32222111111122000021100100
430100032231013200000
5102244014414020430
61442500454322400
7114560016303150
oct14201655074000
92874448007310
10842060298240
112a51300a4357
12117244359400
1361537b28c05
142ca82406760
1516d85aec960
hexc40eb47800

842060298240 has 576 divisors, whose sum is σ = 3531591161280. Its totient is φ = 181146746880.

The previous prime is 842060298161. The next prime is 842060298241. The reversal of 842060298240 is 42892060248.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842060298241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10928650 + ... + 11005430.

It is an arithmetic number, because the mean of its divisors is an integer number (6131234655).

Almost surely, 2842060298240 is an apocalyptic number.

842060298240 is a gapful number since it is divisible by the number (80) 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 842060298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765795580640).

842060298240 is an abundant number, since it is smaller than the sum of its proper divisors (2689530863040).

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

842060298240 is a wasteful number, since it uses less digits than its factorization.

842060298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76838 (or 76815 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 842060298240 in words is "eight hundred forty-two billion, sixty million, two hundred ninety-eight thousand, two hundred forty".