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13021411302432 = 2532134917083383
BaseRepresentation
bin1011110101111100100010…
…0110000101110000100000
31201002211112112122101111200
42331133020212011300200
53201320322243134212
643405542003041200
72512523465563551
oct275371046056040
951084475571450
1013021411302432
114170393238165
121563778370200
13735bb586b140
1433034d922328
15178ab427b6dc
hexbd7c8985c20

13021411302432 has 144 divisors (see below), whose sum is σ = 39959295824448. Its totient is φ = 3998427471360.

The previous prime is 13021411302269. The next prime is 13021411302443. The reversal of 13021411302432 is 23420311412031.

13021411302432 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 1 + 411 + 3 + 0 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×130214113024322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021411302396 and 13021411302405.

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, 1703388 + ... + 5379995.

It is an arithmetic number, because the mean of its divisors is an integer number (277495109892).

Almost surely, 213021411302432 is an apocalyptic number.

13021411302432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13021411302432 is an abundant number, since it is smaller than the sum of its proper divisors (26937884522016).

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

13021411302432 is a wasteful number, since it uses less digits than its factorization.

13021411302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083903 (or 7083892 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13021411302432 its reverse (23420311412031), we get a palindrome (36441722714463).

The spelling of 13021411302432 in words is "thirteen trillion, twenty-one billion, four hundred eleven million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 491 624 936 982 1248 1473 1872 1964 2946 3744 3928 4419 5892 6383 7856 8838 11784 12766 15712 17676 19149 23568 25532 35352 38298 47136 51064 57447 70704 76596 102128 114894 141408 153192 204256 229788 306384 459576 612768 919152 1838304 7083383 14166766 21250149 28333532 42500298 56667064 63750447 85000596 92083979 113334128 127500894 170001192 184167958 226668256 255001788 276251937 340002384 368335916 510003576 552503874 680004768 736671832 828755811 1020007152 1105007748 1473343664 1657511622 2040014304 2210015496 2946687328 3315023244 3477941053 4420030992 6630046488 6955882106 8840061984 10433823159 13260092976 13911764212 20867646318 26520185952 27823528424 31301469477 41735292636 45213233689 55647056848 62602938954 83470585272 90426467378 111294113696 125205877908 135639701067 166941170544 180852934756 250411755816 271279402134 333882341088 361705869512 406919103201 500823511632 542558804268 723411739024 813838206402 1001647023264 1085117608536 1446823478048 1627676412804 2170235217072 3255352825608 4340470434144 6510705651216 13021411302432