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13036844040 = 23351117357089
BaseRepresentation
bin11000010010000111…
…00111010000001000
31020122120010021222120
430021003213100020
5203144413002130
65553344451240
7641031226443
oct141103472010
936576107876
1013036844040
11558aa5a980
12263a019b20
1312c9c01bcc
148b95da65a
155147cd910
hex3090e7408

13036844040 has 128 divisors (see below), whose sum is σ = 42913411200. Its totient is φ = 3142123520.

The previous prime is 13036843999. The next prime is 13036844057. The reversal of 13036844040 is 4044863031.

It is a happy number.

It is a Cunningham number, because it is equal to 1141792-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13036843992 and 13036844010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199816 + ... + 256904.

It is an arithmetic number, because the mean of its divisors is an integer number (335261025).

Almost surely, 213036844040 is an apocalyptic number.

13036844040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13036844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21456705600).

13036844040 is an abundant number, since it is smaller than the sum of its proper divisors (29876567160).

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

13036844040 is a wasteful number, since it uses less digits than its factorization.

13036844040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57287 (or 57283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 13036844040 in words is "thirteen billion, thirty-six million, eight hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 173 220 264 330 346 440 519 660 692 865 1038 1320 1384 1730 1903 2076 2595 3460 3806 4152 5190 5709 6920 7612 9515 10380 11418 15224 19030 20760 22836 28545 38060 45672 57089 57090 76120 114178 114180 171267 228356 228360 285445 342534 456712 570890 627979 685068 856335 1141780 1255958 1370136 1712670 1883937 2283560 2511916 3139895 3425340 3767874 5023832 6279790 6850680 7535748 9419685 9876397 12559580 15071496 18839370 19752794 25119160 29629191 37678740 39505588 49381985 59258382 75357480 79011176 98763970 108640367 118516764 148145955 197527940 217280734 237033528 296291910 325921101 395055880 434561468 543201835 592583820 651842202 869122936 1086403670 1185167640 1303684404 1629605505 2172807340 2607368808 3259211010 4345614680 6518422020 13036844040