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13155101441040 = 2435134216378667
BaseRepresentation
bin1011111101101110100100…
…1001011111110000010000
31201120121121122020002122210
42333123221021133300100
53211013121432103130
643551211542432120
72525265451163526
oct277335111376020
951517548202583
1013155101441040
1142120578a1019
121585668a32640
137456a00c2b30
143369d3122316
1517c2db0595b0
hexbf6e925fc10

13155101441040 has 80 divisors (see below), whose sum is σ = 43917800205888. Its totient is φ = 3238178815488.

The previous prime is 13155101441033. The next prime is 13155101441047. The reversal of 13155101441040 is 4014410155131.

It is an interprime number because it is at equal distance from previous prime (13155101441033) and next prime (13155101441047).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13155101440989 and 13155101441007.

It is not an unprimeable number, because it can be changed into a prime (13155101441047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2108186214 + ... + 2108192453.

Almost surely, 213155101441040 is an apocalyptic number.

13155101441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155101441040 is an abundant number, since it is smaller than the sum of its proper divisors (30762698764848).

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

13155101441040 is a wasteful number, since it uses less digits than its factorization.

13155101441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216378696 (or 4216378690 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 13155101441040 its reverse (4014410155131), we get a palindrome (17169511596171).

The spelling of 13155101441040 in words is "thirteen trillion, one hundred fifty-five billion, one hundred one million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4216378667 8432757334 12649136001 16865514668 21081893335 25298272002 33731029336 42163786670 50596544004 54812922671 63245680005 67462058672 84327573340 101193088008 109625845342 126491360010 164438768013 168655146680 202386176016 219251690684 252982720020 274064613355 328877536026 337310293360 438503381368 505965440040 548129226710 657755072052 822193840065 877006762736 1011930880080 1096258453420 1315510144104 1644387680130 2192516906840 2631020288208 3288775360260 4385033813680 6577550720520 13155101441040