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70141924944 = 2433731322801
BaseRepresentation
bin100000101010011001…
…0001101011001010000
320201001022101222022000
41001110302031121100
52122122313044234
652120040514000
75032116345000
oct1012462153120
9221038358260
1070141924944
1127824319413
121171647b900
1367ca979c00
1435757dc000
151c57ce7899
hex1054c8d650

70141924944 has 480 divisors, whose sum is σ = 254331936000. Its totient is φ = 18492364800.

The previous prime is 70141924903. The next prime is 70141924967. The reversal of 70141924944 is 44942914107.

70141924944 is a `hidden beast` number, since 70 + 1 + 4 + 1 + 92 + 494 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 70141924944.

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, 25040344 + ... + 25043144.

It is an arithmetic number, because the mean of its divisors is an integer number (529858200).

Almost surely, 270141924944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70141924944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127165968000).

70141924944 is an abundant number, since it is smaller than the sum of its proper divisors (184190011056).

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

70141924944 is a wasteful number, since it uses less digits than its factorization.

70141924944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 70141924944 in words is "seventy billion, one hundred forty-one million, nine hundred twenty-four thousand, nine hundred forty-four".