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13331141040 = 243577935203
BaseRepresentation
bin11000110101001100…
…10001000110110000
31021102001220010120110
430122212101012300
5204300233003130
610042500341320
7651233554260
oct143246210660
937361803513
1013331141040
115721099638
1227006a4840
131345b83c49
149067277a0
15530562ab0
hex31a9911b0

13331141040 has 80 divisors (see below), whose sum is σ = 47230334208. Its totient is φ = 3047117568.

The previous prime is 13331141029. The next prime is 13331141041. The reversal of 13331141040 is 4014113331.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 13331140998 and 13331141016.

It is not an unprimeable number, because it can be changed into a prime (13331141041) 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, 3965922 + ... + 3969281.

Almost surely, 213331141040 is an apocalyptic number.

13331141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331141040 is an abundant number, since it is smaller than the sum of its proper divisors (33899193168).

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

13331141040 is a wasteful number, since it uses less digits than its factorization.

13331141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935226 (or 7935220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13331141040 its reverse (4014113331), we get a palindrome (17345254371).

The spelling of 13331141040 in words is "thirteen billion, three hundred thirty-one million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7935203 15870406 23805609 31740812 39676015 47611218 55546421 63481624 79352030 95222436 111092842 119028045 126963248 158704060 166639263 190444872 222185684 238056090 277732105 317408120 333278526 380889744 444371368 476112180 555464210 634816240 666557052 833196315 888742736 952224360 1110928420 1333114104 1666392630 1904448720 2221856840 2666228208 3332785260 4443713680 6665570520 13331141040