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13330444400 = 2452713366221
BaseRepresentation
bin11000110101000111…
…00111000001110000
31021102000120201221222
430122203213001300
5204300043210100
610042433404212
7651224623250
oct143243470160
937360521858
1013330444400
1157207631a9
122700409668
13134599bb30
149065c5960
15530476485
hex31a8e7070

13330444400 has 120 divisors (see below), whose sum is σ = 39417206304. Its totient is φ = 4218854400.

The previous prime is 13330444399. The next prime is 13330444429. The reversal of 13330444400 is 444403331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13330444400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146711 + ... + 219510.

Almost surely, 213330444400 is an apocalyptic number.

13330444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330444400 is an abundant number, since it is smaller than the sum of its proper divisors (26086761904).

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

13330444400 is a wasteful number, since it uses less digits than its factorization.

13330444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366259 (or 366248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13330444400 its reverse (444403331), we get a palindrome (13774847731).

The spelling of 13330444400 in words is "thirteen billion, three hundred thirty million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 366221 732442 1464884 1831105 2563547 2929768 3662210 4760873 5127094 5859536 7324420 9155525 9521746 10254188 12817735 14648840 18311050 19043492 20508376 23804365 25635470 29297680 33326111 36622100 38086984 41016752 47608730 51270940 64088675 66652222 73244200 76173968 95217460 102541880 119021825 128177350 133304444 146488400 166630555 190434920 205083760 238043650 256354700 266608888 333261110 380869840 476087300 512709400 533217776 666522220 833152775 952174600 1025418800 1333044440 1666305550 1904349200 2666088880 3332611100 6665222200 13330444400