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13130442011440 = 2451337341227703
BaseRepresentation
bin1011111100010010101101…
…0101001111001100110000
31201111020222002011021121101
42333010223111033030300
53210112121123331230
643532013005334144
72523433410404005
oct277045325171460
951436862137541
1013130442011440
114202653229636
121580926567354
137432702c0780
143357340ad8ac
1517b84620baca
hexbf12b54f330

13130442011440 has 80 divisors (see below), whose sum is σ = 33765163766208. Its totient is φ = 4717131752448.

The previous prime is 13130442011419. The next prime is 13130442011447. The reversal of 13130442011440 is 4411024403131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13130442011399 and 13130442011408.

It is not an unprimeable number, because it can be changed into a prime (13130442011447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170575372 + ... + 170652331.

Almost surely, 213130442011440 is an apocalyptic number.

13130442011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130442011440 is an abundant number, since it is smaller than the sum of its proper divisors (20634721754768).

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

13130442011440 is a wasteful number, since it uses less digits than its factorization.

13130442011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341227766 (or 341227760 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13130442011440 its reverse (4411024403131), we get a palindrome (17541466414571).

The spelling of 13130442011440 in words is "thirteen trillion, one hundred thirty billion, four hundred forty-two million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 341227703 682455406 1364910812 1706138515 2729821624 3412277030 4435960139 5459643248 6824554060 8871920278 12625425011 13649108120 17743840556 22179800695 25250850022 27298216240 35487681112 44359601390 50501700044 63127125055 70975362224 88719202780 101003400088 126254250110 164130525143 177438405560 202006800176 252508500220 328261050286 354876811120 505017000440 656522100572 820652625715 1010034000880 1313044201144 1641305251430 2626088402288 3282610502860 6565221005720 13130442011440