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13409903280 = 2435176153881
BaseRepresentation
bin11000111110100101…
…01110001010110000
31021121120002200001110
430133102232022300
5204430413401110
610054352433320
7653211203634
oct143722561260
937546080043
1013409903280
1157615a48a4
122722b48840
13135929cb17
14912d8adc4
1553741ea20
hex31f4ae2b0

13409903280 has 160 divisors (see below), whose sum is σ = 44738440128. Its totient is φ = 3310387200.

The previous prime is 13409903261. The next prime is 13409903291. The reversal of 13409903280 is 8230990431.

13409903280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221940 + ... + 275820.

Almost surely, 213409903280 is an apocalyptic number.

13409903280 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 13409903280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22369220064).

13409903280 is an abundant number, since it is smaller than the sum of its proper divisors (31328536848).

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

13409903280 is a wasteful number, since it uses less digits than its factorization.

13409903280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53975 (or 53969 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13409903280 in words is "thirteen billion, four hundred nine million, nine hundred three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 61 68 80 85 102 120 122 136 170 183 204 240 244 255 272 305 340 366 408 488 510 610 680 732 816 915 976 1020 1037 1220 1360 1464 1830 2040 2074 2440 2928 3111 3660 4080 4148 4880 5185 6222 7320 8296 10370 12444 14640 15555 16592 20740 24888 31110 41480 49776 53881 62220 82960 107762 124440 161643 215524 248880 269405 323286 431048 538810 646572 808215 862096 915977 1077620 1293144 1616430 1831954 2155240 2586288 2747931 3232860 3286741 3663908 4310480 4579885 5495862 6465720 6573482 7327816 9159770 9860223 10991724 12931440 13146964 13739655 14655632 16433705 18319540 19720446 21983448 26293928 27479310 32867410 36639080 39440892 43966896 49301115 52587856 54958620 55874597 65734820 73278160 78881784 98602230 109917240 111749194 131469640 157763568 167623791 197204460 219834480 223498388 262939280 279372985 335247582 394408920 446996776 558745970 670495164 788817840 838118955 893993552 1117491940 1340990328 1676237910 2234983880 2681980656 3352475820 4469967760 6704951640 13409903280