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13293444000 = 253531107787
BaseRepresentation
bin11000110000101100…
…11101101110100000
31021022102221220221210
430120112131232200
5204211110202000
610035032350120
7650265260334
oct143026355640
937272856853
1013293444000
115701891261
1226abb45340
13133b1156c5
149017137c4
1552c0b8350
hex31859dba0

13293444000 has 96 divisors (see below), whose sum is σ = 43549361856. Its totient is φ = 3544915200.

The previous prime is 13293443959. The next prime is 13293444001. The reversal of 13293444000 is 44439231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132934440002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13293444001) 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, 541894 + ... + 565893.

It is an arithmetic number, because the mean of its divisors is an integer number (453639186).

Almost surely, 213293444000 is an apocalyptic number.

13293444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13293444000 is an abundant number, since it is smaller than the sum of its proper divisors (30255917856).

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

13293444000 is a wasteful number, since it uses less digits than its factorization.

13293444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107815 (or 1107797 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13293444000 in words is "thirteen billion, two hundred ninety-three million, four hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1107787 2215574 3323361 4431148 5538935 6646722 8862296 11077870 13293444 16616805 17724592 22155740 26586888 27694675 33233610 35449184 44311480 53173776 55389350 66467220 83084025 88622960 106347552 110778700 132934440 138473375 166168050 177245920 221557400 265868880 276946750 332336100 415420125 443114800 531737760 553893500 664672200 830840250 886229600 1107787000 1329344400 1661680500 2215574000 2658688800 3323361000 4431148000 6646722000 13293444000