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13130404440 = 2335532064529
BaseRepresentation
bin11000011101010001…
…00001001001011000
31020220002011122201120
430032220201021120
5203342340420230
610010530045240
7643245411336
oct141650411130
936802148646
1013130404440
11562885321a
122665419820
1313133cc5aa
148c7bd2b56
1551cb10310
hex30ea21258

13130404440 has 64 divisors (see below), whose sum is σ = 40134463200. Its totient is φ = 3435374592.

The previous prime is 13130404421. The next prime is 13130404453. The reversal of 13130404440 is 4440403131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13130404440.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1025905 + ... + 1038624.

Almost surely, 213130404440 is an apocalyptic number.

13130404440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130404440 is an abundant number, since it is smaller than the sum of its proper divisors (27004058760).

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

13130404440 is a wasteful number, since it uses less digits than its factorization.

13130404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064596 (or 2064592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13130404440 its reverse (4440403131), we get a palindrome (17570807571).

The spelling of 13130404440 in words is "thirteen billion, one hundred thirty million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 2064529 4129058 6193587 8258116 10322645 12387174 16516232 20645290 24774348 30967935 41290580 49548696 61935870 82581160 109420037 123871740 218840074 247743480 328260111 437680148 547100185 656520222 875360296 1094200370 1313040444 1641300555 2188400740 2626080888 3282601110 4376801480 6565202220 13130404440