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385424473040 = 2455801830513
BaseRepresentation
bin1011001101111010001…
…01101011101111010000
31100211211220010212211222
411212331011223233100
522303322131114130
6453021144024212
736563114652215
oct5467505535720
91324756125758
10385424473040
11139504081252
1262845a62068
132a464a21c89
14149244b3b0c
15a05becdce5
hex59bd16bbd0

385424473040 has 40 divisors (see below), whose sum is σ = 896267454408. Its totient is φ = 154143027200.

The previous prime is 385424473019. The next prime is 385424473043. The reversal of 385424473040 is 40374424583.

It can be written as a sum of positive squares in 4 ways, for example, as 41170033216 + 344254439824 = 202904^2 + 586732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 385424472982 and 385424473000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385424473043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48824 + ... + 879336.

Almost surely, 2385424473040 is an apocalyptic number.

It is an amenable number.

385424473040 is an abundant number, since it is smaller than the sum of its proper divisors (510842981368).

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

385424473040 is a wasteful number, since it uses less digits than its factorization.

385424473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836327 (or 836321 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 44.

The spelling of 385424473040 in words is "three hundred eighty-five billion, four hundred twenty-four million, four hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5801 11602 23204 29005 46408 58010 92816 116020 232040 464080 830513 1661026 3322052 4152565 6644104 8305130 13288208 16610260 33220520 66441040 4817805913 9635611826 19271223652 24089029565 38542447304 48178059130 77084894608 96356118260 192712236520 385424473040