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42108944240 = 245111729312101
BaseRepresentation
bin100111001101111000…
…110111111101110000
311000200122102000010102
4213031320313331300
51142214342203430
631202232451532
73020333056166
oct471570677560
9130618360112
1042108944240
1116949446070
1281b2249ba8
133c80c8256c
142076705236
151166c19345
hex9cde37f70

42108944240 has 480 divisors, whose sum is σ = 122077990080. Its totient is φ = 13332480000.

The previous prime is 42108944233. The next prime is 42108944323. The reversal of 42108944240 is 4244980124.

It is a junction number, because it is equal to n+sod(n) for n = 42108944194 and 42108944203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416920190 + ... + 416920290.

It is an arithmetic number, because the mean of its divisors is an integer number (254329146).

Almost surely, 242108944240 is an apocalyptic number.

42108944240 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 42108944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61038995040).

42108944240 is an abundant number, since it is smaller than the sum of its proper divisors (79969045840).

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

42108944240 is a wasteful number, since it uses less digits than its factorization.

42108944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 42108944240 in words is "forty-two billion, one hundred eight million, nine hundred forty-four thousand, two hundred forty".