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13303411440 = 2435115039171
BaseRepresentation
bin11000110001111000…
…11111001011110000
31021100010201022201020
430120330133023300
5204221133131230
610040030135440
7650446063044
oct143074371360
937303638636
1013303411440
115707479a10
1226b3351580
1313401c54b7
14902b8a024
1552cdd6810
hex318f1f2f0

13303411440 has 80 divisors (see below), whose sum is σ = 44989727616. Its totient is φ = 3225068800.

The previous prime is 13303411403. The next prime is 13303411447. The reversal of 13303411440 is 4411430331.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13303411440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303411447) 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, 2516946 + ... + 2522225.

Almost surely, 213303411440 is an apocalyptic number.

13303411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303411440 is an abundant number, since it is smaller than the sum of its proper divisors (31686316176).

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

13303411440 is a wasteful number, since it uses less digits than its factorization.

13303411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039198 (or 5039192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13303411440 its reverse (4411430331), we get a palindrome (17714841771).

The spelling of 13303411440 in words is "thirteen billion, three hundred three million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5039171 10078342 15117513 20156684 25195855 30235026 40313368 50391710 55430881 60470052 75587565 80626736 100783420 110861762 120940104 151175130 166292643 201566840 221723524 241880208 277154405 302350260 332585286 403133680 443447048 554308810 604700520 665170572 831463215 886894096 1108617620 1209401040 1330341144 1662926430 2217235240 2660682288 3325852860 4434470480 6651705720 13303411440