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14241011110404 = 223131014057222787
BaseRepresentation
bin1100111100111011111001…
…1010001001001000000100
31212102102112112211220110220
43033032332122021020010
53331311042321013104
650142121415344340
72666610350112111
oct317167632111004
955372475756426
1014241011110404
1145a0640567061
1217200059820b0
137c3bc9952950
143733a911b908
1519a6949d27d9
hexcf3be689204

14241011110404 has 96 divisors (see below), whose sum is σ = 36148482980736. Its totient is φ = 4337376076800.

The previous prime is 14241011110387. The next prime is 14241011110427. The reversal of 14241011110404 is 40401111014241.

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, 63810699 + ... + 64033485.

It is an arithmetic number, because the mean of its divisors is an integer number (376546697716).

Almost surely, 214241011110404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241011110404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18074241490368).

14241011110404 is an abundant number, since it is smaller than the sum of its proper divisors (21907471870332).

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

14241011110404 is a wasteful number, since it uses less digits than its factorization.

14241011110404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226965 (or 226963 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 14241011110404 its reverse (40401111014241), we get a palindrome (54642122124645).

The spelling of 14241011110404 in words is "fourteen trillion, two hundred forty-one billion, eleven million, one hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 1212 1313 2626 3939 4057 5252 7878 8114 12171 15756 16228 24342 48684 52741 105482 158223 210964 222787 316446 409757 445574 632892 668361 819514 891148 1229271 1336722 1639028 2458542 2673444 2896231 4917084 5326841 5792462 8688693 10653682 11584924 15980523 17377386 21307364 22501487 31961046 34754772 45002974 63922092 67504461 90005948 135008922 270017844 292519331 585038662 877557993 903846859 1170077324 1755115986 1807693718 2711540577 3510231972 3615387436 5423081154 10846162308 11750009167 23500018334 35250027501 47000036668 70500055002 91288532759 141000110004 182577065518 273865598277 365154131036 547731196554 1095462393108 1186750925867 2373501851734 3560252777601 4747003703468 7120505555202 14241011110404