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13204010304440 = 2351943656961507
BaseRepresentation
bin1100000000100100110001…
…0110000000001110111000
31201202021212011212210020222
43000021030112000032320
53212313303114220230
644025501045235212
72531646453520154
oct300111426001670
951667764783228
1013204010304440
114230875652a8a
121593038402b08
1374a195a962a7
14339112980064
1517d6eec196e5
hexc024c5803b8

13204010304440 has 128 divisors (see below), whose sum is σ = 32005318752000. Its totient is φ = 4886438151168.

The previous prime is 13204010304427. The next prime is 13204010304469. The reversal of 13204010304440 is 4440301040231.

It is a congruent number.

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, 214644167 + ... + 214705673.

It is an arithmetic number, because the mean of its divisors is an integer number (250041552750).

Almost surely, 213204010304440 is an apocalyptic number.

13204010304440 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 13204010304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002659376000).

13204010304440 is an abundant number, since it is smaller than the sum of its proper divisors (18801308447560).

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

13204010304440 is a wasteful number, since it uses less digits than its factorization.

13204010304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68149 (or 68145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13204010304440 its reverse (4440301040231), we get a palindrome (17644311344671).

The spelling of 13204010304440 in words is "thirteen trillion, two hundred four billion, ten million, three hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3268 4085 6536 6569 8170 13138 16340 26276 32680 32845 52552 61507 65690 123014 124811 131380 246028 249622 262760 282467 307535 492056 499244 564934 615070 624055 998488 1129868 1168633 1230140 1248110 1412335 2259736 2337266 2460280 2496220 2644801 2824670 4674532 4992440 5289602 5366873 5649340 5843165 9349064 10579204 10733746 11298680 11686330 13224005 21158408 21467492 23372660 26448010 26834365 42934984 46745320 50251219 52896020 53668730 100502438 105792040 107337460 201004876 214674920 251256095 402009752 404039483 502512190 808078966 1005024380 1616157932 2010048760 2020197415 3232315864 4040394830 7676750177 8080789660 15353500354 16161579320 17373697769 30707000708 34747395538 38383750885 61414001416 69494791076 76767501770 86868488845 138989582152 153535003540 173736977690 307070007080 330100257611 347473955380 660200515222 694947910760 1320401030444 1650501288055 2640802060888 3301002576110 6602005152220 13204010304440