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13401143145 = 335132718273
BaseRepresentation
bin11000111101100010…
…10011011101101001
31021120221121121102000
430132301103131221
5204421143040040
610053441001213
7653043560115
oct143661233551
937527547360
1013401143145
115757661215
122720023209
131357523700
14911b4a745
1553678e130
hex31ec53769

13401143145 has 96 divisors (see below), whose sum is σ = 26164373760. Its totient is φ = 6503777280.

The previous prime is 13401143143. The next prime is 13401143149. The reversal of 13401143145 is 54134110431.

13401143145 is a `hidden beast` number, since 1 + 340 + 1 + 1 + 4 + 314 + 5 = 666.

It is not a de Polignac number, because 13401143145 - 21 = 13401143143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13401143141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1615729 + ... + 1624001.

It is an arithmetic number, because the mean of its divisors is an integer number (272545560).

Almost surely, 213401143145 is an apocalyptic number.

13401143145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13401143145 is a deficient number, since it is larger than the sum of its proper divisors (12763230615).

13401143145 is a wasteful number, since it uses less digits than its factorization.

13401143145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13401143145 its reverse (54134110431), we get a palindrome (67535253576).

The spelling of 13401143145 in words is "thirteen billion, four hundred one million, one hundred forty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 71 117 135 169 195 213 351 355 507 585 639 845 923 1065 1521 1755 1917 2535 2769 3195 4563 4615 7605 8273 8307 9585 11999 13845 22815 24819 24921 35997 41365 41535 59995 74457 107549 107991 124095 124605 179985 223371 322647 323973 372285 537745 539955 587383 967941 1116855 1398137 1613235 1619865 1762149 2903823 2936915 4194411 4839705 5286447 6990685 7635979 8810745 12583233 14519115 15859341 20972055 22907937 26432235 37749699 38179895 62916165 68723811 79296705 99267727 114539685 188748495 206171433 297803181 343619055 496338635 893409543 1030857165 1489015905 2680228629 4467047715 13401143145