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13441444420131 = 3271361325182759
BaseRepresentation
bin1100001110011001010010…
…0001010001101000100011
31202120222201101001120200200
43003212110201101220203
53230211034232421011
644330525254320243
72555053344303540
oct303462441215043
952528641046620
1013441444420131
114312536a59382
121611060659083
137666a46ab180
143467d854bbc7
15184999783856
hexc3994851a23

13441444420131 has 96 divisors (see below), whose sum is σ = 24295401661440. Its totient is φ = 6971533920000.

The previous prime is 13441444420099. The next prime is 13441444420147. The reversal of 13441444420131 is 13102444414431.

13441444420131 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 4 + 444 + 201 + 3 + 1 = 666.

It is not a de Polignac number, because 13441444420131 - 25 = 13441444420099 is a prime.

It is a super-2 number, since 2×134414444201312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13441444420231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162375330 + ... + 162458088.

It is an arithmetic number, because the mean of its divisors is an integer number (253077100640).

Almost surely, 213441444420131 is an apocalyptic number.

13441444420131 is a deficient number, since it is larger than the sum of its proper divisors (10853957241309).

13441444420131 is a wasteful number, since it uses less digits than its factorization.

13441444420131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86097 (or 86094 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13441444420131 its reverse (13102444414431), we get a palindrome (26543888834562).

The spelling of 13441444420131 in words is "thirteen trillion, four hundred forty-one billion, four hundred forty-four million, four hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 61 63 91 117 183 273 427 549 793 819 1281 2379 3251 3843 5551 7137 9753 16653 22757 29259 42263 49959 68271 82759 126789 198311 204813 248277 295841 380367 579313 594933 744831 887523 1075867 1388177 1737939 1784799 2578043 2662569 3227601 4164531 5048299 5213817 7531069 7734129 9682803 12493593 15144897 18046301 22593207 23202387 35338093 45434691 54138903 65627887 67779621 106014279 162416709 196883661 269049509 318042837 459395209 590650983 807148527 1378185627 1883346563 2421445581 3497643617 4134556881 5650039689 10492930851 16412020049 16950119067 24483505319 31478792553 49236060147 73450515957 114884140343 147708180441 213356260637 220351547871 344652421029 640068781911 1033957263087 1493493824459 1920206345733 4480481473377 13441444420131