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413531440245 = 325711119345293
BaseRepresentation
bin1100000010010000110…
…01010000010001110101
31110112101201100202102100
412001020121100101311
523233403022041440
6513550153532313
741606460150060
oct6011031202165
91415351322370
10413531440245
1114a417798770
126818aa14099
132ccc3b52811
141602d3498d7
15ab54824230
hex6048650475

413531440245 has 48 divisors (see below), whose sum is σ = 893657561472. Its totient is φ = 171857220480.

The previous prime is 413531440243. The next prime is 413531440261. The reversal of 413531440245 is 542044135314.

413531440245 is a `hidden beast` number, since 41 + 3 + 531 + 4 + 40 + 2 + 45 = 666.

It is not a de Polignac number, because 413531440245 - 21 = 413531440243 is a prime.

It is a super-3 number, since 3×4135314402453 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413531440243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59669182 + ... + 59676111.

It is an arithmetic number, because the mean of its divisors is an integer number (18617865864).

Almost surely, 2413531440245 is an apocalyptic number.

413531440245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413531440245 is an abundant number, since it is smaller than the sum of its proper divisors (480126121227).

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

413531440245 is a wasteful number, since it uses less digits than its factorization.

413531440245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119345322 (or 119345319 counting only the distinct ones).

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

Adding to 413531440245 its reverse (542044135314), we get a palindrome (955575575559).

It can be divided in two parts, 413531 and 440245, that added together give a square (853776 = 9242).

The spelling of 413531440245 in words is "four hundred thirteen billion, five hundred thirty-one million, four hundred forty thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 119345293 358035879 596726465 835417051 1074107637 1312798223 1790179395 2506251153 3938394669 4177085255 5370538185 6563991115 7518753459 9189587561 11815184007 12531255765 19691973345 27568762683 37593767295 45947937805 59075920035 82706288049 137843813415 413531440245