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9002142405 = 3256122714447
BaseRepresentation
bin10000110001001000…
…11100101011000101
3212020101010012211200
420120210130223011
5121414022024110
64045135053113
7436036643064
oct103044345305
925211105750
109002142405
1138aa524913
1218b2971199
13b060504a9
146158121db
1537a4a16c0
hex21891cac5

9002142405 has 48 divisors (see below), whose sum is σ = 15930480384. Its totient is φ = 4701306240.

The previous prime is 9002142403. The next prime is 9002142427. The reversal of 9002142405 is 5042412009.

It is not a de Polignac number, because 9002142405 - 21 = 9002142403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9002142403) 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, 615892 + ... + 630338.

It is an arithmetic number, because the mean of its divisors is an integer number (331885008).

Almost surely, 29002142405 is an apocalyptic number.

It is an amenable number.

9002142405 is a deficient number, since it is larger than the sum of its proper divisors (6928337979).

9002142405 is a wasteful number, since it uses less digits than its factorization.

9002142405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14746 (or 14743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 9002142405 is about 94879.6205989463. The cubic root of 9002142405 is about 2080.2488611417.

The spelling of 9002142405 in words is "nine billion, two million, one hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 61 183 227 305 549 681 915 1135 2043 2745 3405 10215 13847 14447 41541 43341 69235 72235 124623 130023 207705 216705 623115 650115 881267 2643801 3279469 4406335 7931403 9838407 13219005 16397345 29515221 39657015 49192035 147576105 200047609 600142827 1000238045 1800428481 3000714135 9002142405