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1415428641 = 331147101399
BaseRepresentation
bin101010001011101…
…1011101000100001
310122122101020002000
41110113123220201
510344322204031
6352241314213
750034642054
oct12427335041
93578336060
101415428641
11666a77540
12336035969
13197321253
14d5daaa9b
15843e13e6
hex545dba21

1415428641 has 32 divisors (see below), whose sum is σ = 2336256000. Its totient is φ = 839575440.

The previous prime is 1415428639. The next prime is 1415428657. The reversal of 1415428641 is 1468245141.

1415428641 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 4 + 2 + 8 + 641 = 666.

It is not a de Polignac number, because 1415428641 - 21 = 1415428639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1415428596 and 1415428605.

It is not an unprimeable number, because it can be changed into a prime (1415428601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36741 + ... + 64658.

It is an arithmetic number, because the mean of its divisors is an integer number (73008000).

Almost surely, 21415428641 is an apocalyptic number.

1415428641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1415428641 is a deficient number, since it is larger than the sum of its proper divisors (920827359).

1415428641 is a wasteful number, since it uses less digits than its factorization.

1415428641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101466 (or 101460 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1415428641 is about 37622.1828314095. The cubic root of 1415428641 is about 1122.7834258006.

The spelling of 1415428641 in words is "one billion, four hundred fifteen million, four hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 47 99 141 297 423 517 1269 1551 4653 13959 101399 304197 912591 1115389 2737773 3346167 4765753 10038501 14297259 30115503 42891777 52423283 128675331 157269849 471809547 1415428641