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1405147941 = 32415217309
BaseRepresentation
bin101001111000000…
…1101101100100101
310121221000220121100
41103300031230211
510334204213231
6351233110313
746551363141
oct12360155445
93557026540
101405147941
1166119549a
123326b8399
131951619b2
14d4892221
15835601e6
hex53c0db25

1405147941 has 24 divisors (see below), whose sum is σ = 2083437720. Its totient is φ = 912038400.

The previous prime is 1405147897. The next prime is 1405147963. The reversal of 1405147941 is 1497415041.

1405147941 is a `hidden beast` number, since 140 + 5 + 1 + 479 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1147041 + 1404000900 = 1071^2 + 37470^2 .

It is not a de Polignac number, because 1405147941 - 27 = 1405147813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1405147896 and 1405147905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405147981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188595 + ... + 195903.

It is an arithmetic number, because the mean of its divisors is an integer number (86809905).

Almost surely, 21405147941 is an apocalyptic number.

It is an amenable number.

1405147941 is a deficient number, since it is larger than the sum of its proper divisors (678289779).

1405147941 is a wasteful number, since it uses less digits than its factorization.

1405147941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1405147941 is about 37485.3029999759. The cubic root of 1405147941 is about 1120.0584421566.

The spelling of 1405147941 in words is "one billion, four hundred five million, one hundred forty-seven thousand, nine hundred forty-one".

Divisors: 1 3 9 41 123 369 521 1563 4689 7309 21361 21927 64083 65781 192249 299669 899007 2697021 3807989 11423967 34271901 156127549 468382647 1405147941