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42144532605 = 3357192922791
BaseRepresentation
bin100111010000000000…
…101000100001111101
311000210010101002012000
4213100000220201331
51142303000020410
631205543332513
73021244421310
oct472000504175
9130703332160
1042144532605
111696754313a
128202151139
133c88463076
14207b32a977
151169de8dc0
hex9d002887d

42144532605 has 192 divisors, whose sum is σ = 93382348800. Its totient is φ = 17616372480.

The previous prime is 42144532561. The next prime is 42144532613. The reversal of 42144532605 is 50623544124.

42144532605 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 45 + 3 + 2 + 605 = 666.

It is not a de Polignac number, because 42144532605 - 211 = 42144530557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42144532605.

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, 15098760 + ... + 15101550.

It is an arithmetic number, because the mean of its divisors is an integer number (486366400).

Almost surely, 242144532605 is an apocalyptic number.

42144532605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42144532605 is an abundant number, since it is smaller than the sum of its proper divisors (51237816195).

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

42144532605 is a wasteful number, since it uses less digits than its factorization.

42144532605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42144532605 in words is "forty-two billion, one hundred forty-four million, five hundred thirty-two thousand, six hundred five".