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13414821760053 = 3274344970115733
BaseRepresentation
bin1100001100110110000110…
…1011111000110000110101
31202111102222222211022201100
43003031201223320300311
53224242023332310203
644310403430320313
72553121534364010
oct303154153706065
952442888738640
1013414821760053
11430221518386a
121607a707b9099
13764020c36a7c
143453d0892377
15183e3c3d7ea3
hexc3361af8c35

13414821760053 has 96 divisors (see below), whose sum is σ = 22744415865600. Its totient is φ = 7459535462400.

The previous prime is 13414821760019. The next prime is 13414821760061. The reversal of 13414821760053 is 35006712841431.

13414821760053 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 8 + 21 + 7 + 600 + 5 + 3 = 666.

13414821760053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13414821760053 - 29 = 13414821759541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13414821759990 and 13414821760008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414821760553) 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, 852647175 + ... + 852662907.

It is an arithmetic number, because the mean of its divisors is an integer number (236920998600).

Almost surely, 213414821760053 is an apocalyptic number.

It is an amenable number.

13414821760053 is a deficient number, since it is larger than the sum of its proper divisors (9329594105547).

13414821760053 is a wasteful number, since it uses less digits than its factorization.

13414821760053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16939 (or 16936 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13414821760053 in words is "thirteen trillion, four hundred fourteen billion, eight hundred twenty-one million, seven hundred sixty thousand, fifty-three".

Divisors: 1 3 7 9 21 43 63 129 301 387 449 701 903 1347 2103 2709 3143 4041 4907 6309 9429 14721 15733 19307 28287 30143 44163 47199 57921 90429 110131 135149 141597 173763 211001 271287 314749 330393 405447 633003 676519 944247 991179 1216341 1899009 2029557 2203243 2832741 4735633 6088671 6609729 7064117 11028833 13534207 14206899 19829187 21192351 33086499 40602621 42620697 49448819 63577053 77201831 94739449 99259497 121807863 148346457 231605493 284218347 303757031 445039371 474239819 694816479 852655041 911271093 1422719457 2126299217 2733813279 3319678733 4268158371 4951946017 6378897651 9959036199 14855838051 19136692953 29877108597 34663622119 44567514153 103990866357 212933678731 311972599071 638801036193 1490535751117 1916403108579 4471607253351 13414821760053