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13434241140 = 2232574634673
BaseRepresentation
bin11001000001011111…
…00100000001110100
31021200020220011022200
430200233210001310
5210003131204030
610101022224500
7653625110535
oct144057440164
937606804280
1013434241140
115774308231
12272b125130
131361341818
149162c468c
1553962ad60
hex320be4074

13434241140 has 36 divisors (see below), whose sum is σ = 40750532004. Its totient is φ = 3582464256.

The previous prime is 13434241103. The next prime is 13434241147. The reversal of 13434241140 is 4114243431.

It can be written as a sum of positive squares in 2 ways, for example, as 7717973904 + 5716267236 = 87852^2 + 75606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434241147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37317157 + ... + 37317516.

Almost surely, 213434241140 is an apocalyptic number.

13434241140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434241140 is an abundant number, since it is smaller than the sum of its proper divisors (27316290864).

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

13434241140 is a wasteful number, since it uses less digits than its factorization.

13434241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74634688 (or 74634683 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13434241140 its reverse (4114243431), we get a palindrome (17548484571).

The spelling of 13434241140 in words is "thirteen billion, four hundred thirty-four million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 74634673 149269346 223904019 298538692 373173365 447808038 671712057 746346730 895616076 1119520095 1343424114 1492693460 2239040190 2686848228 3358560285 4478080380 6717120570 13434241140