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42798119040 = 273453753421
BaseRepresentation
bin100111110110111101…
…110111100010000000
311002110200012201020000
4213312331313202000
51200122304302130
631354452120000
73043402003155
oct476675674200
9132420181200
1042798119040
1117172471316
128365006000
1340609a15c1
14210006222c
1511a749e260
hex9f6f77880

42798119040 has 640 divisors, whose sum is σ = 160312212720. Its totient is φ = 10868981760.

The previous prime is 42798119017. The next prime is 42798119051. The reversal of 42798119040 is 4091189724.

It is a happy number.

42798119040 is a `hidden beast` number, since 427 + 98 + 11 + 90 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17684744256 + 25113374784 = 132984^2 + 158472^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101658030 + ... + 101658450.

Almost surely, 242798119040 is an apocalyptic number.

42798119040 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 42798119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80156106360).

42798119040 is an abundant number, since it is smaller than the sum of its proper divisors (117514093680).

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

42798119040 is a wasteful number, since it uses less digits than its factorization.

42798119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 42798119040 in words is "forty-two billion, seven hundred ninety-eight million, one hundred nineteen thousand, forty".