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414013232130 = 235232017297481
BaseRepresentation
bin1100000011001010001…
…11001001010000000010
31110120122021221022122020
412001211013021100002
523240344341412010
6514110044222310
741624430260121
oct6014507112002
91416567838566
10414013232130
1114a644749083
12682a423a996
133006c900c84
1416077321ab8
15ab81c92470
hex60651c9402

414013232130 has 64 divisors (see below), whose sum is σ = 1037350672128. Its totient is φ = 105550663680.

The previous prime is 414013232111. The next prime is 414013232183. The reversal of 414013232130 is 31232310414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414013232130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242990 + ... + 1540470.

It is an arithmetic number, because the mean of its divisors is an integer number (16208604252).

Almost surely, 2414013232130 is an apocalyptic number.

414013232130 is an abundant number, since it is smaller than the sum of its proper divisors (623337439998).

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

414013232130 is a wasteful number, since it uses less digits than its factorization.

414013232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299531.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 414013232130 its reverse (31232310414), we get a palindrome (445245542544).

The spelling of 414013232130 in words is "four hundred fourteen billion, thirteen million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 2017 4034 6051 10085 12102 20170 30255 46391 60510 92782 139173 231955 278346 297481 463910 594962 695865 892443 1391730 1487405 1784886 2974810 4462215 6842063 8924430 13684126 20526189 34210315 41052378 68420630 102630945 205261890 600019177 1200038354 1800057531 3000095885 3600115062 6000191770 9000287655 13800441071 18000575310 27600882142 41401323213 69002205355 82802646426 138004410710 207006616065 414013232130