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42943380480 = 21032573111319
BaseRepresentation
bin100111111111100111…
…111111110000000000
311002211210112202110100
4213333213333300000
51200422001133410
631421121402400
73050114466000
oct477747776000
9132753482410
1042943380480
11172374673a0
1283a5799400
134084b01710
142115476000
1511b50e48c0
hex9ff9ffc00

42943380480 has 2112 divisors, whose sum is σ = 214591104000. Its totient is φ = 7803371520.

The previous prime is 42943380479. The next prime is 42943380503. The reversal of 42943380480 is 8408334924.

42943380480 is a `hidden beast` number, since 4 + 2 + 94 + 3 + 3 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2260177911 + ... + 2260177929.

Almost surely, 242943380480 is an apocalyptic number.

42943380480 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 42943380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107295552000).

42943380480 is an abundant number, since it is smaller than the sum of its proper divisors (171647723520).

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

42943380480 is a wasteful number, since it uses less digits than its factorization.

42943380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42943380480 in words is "forty-two billion, nine hundred forty-three million, three hundred eighty thousand, four hundred eighty".