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71405455149 = 3473119012137
BaseRepresentation
bin100001010000000011…
…0001100011100101101
320211022100221221220000
41002200012030130231
52132214244031044
652445254414513
75105331232350
oct1024006143455
9224270857800
1071405455149
1128312577356
1211a09661439
13696c686112
143655548297
151ccdbd1d69
hex10a018c72d

71405455149 has 80 divisors (see below), whose sum is σ = 125963160576. Its totient is φ = 39447648000.

The previous prime is 71405455139. The next prime is 71405455189. The reversal of 71405455149 is 94155450417.

71405455149 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 54 + 551 + 49 = 666.

It is not a de Polignac number, because 71405455149 - 24 = 71405455133 is a prime.

It is a super-3 number, since 3×714054551493 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71405455129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33412809 + ... + 33414945.

Almost surely, 271405455149 is an apocalyptic number.

It is an amenable number.

71405455149 is a deficient number, since it is larger than the sum of its proper divisors (54557705427).

71405455149 is a wasteful number, since it uses less digits than its factorization.

71405455149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 71405455149 in words is "seventy-one billion, four hundred five million, four hundred fifty-five thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 567 651 837 1901 1953 2137 2511 5703 5859 6411 13307 14959 17109 17577 19233 39921 44877 51327 57699 58931 66247 119763 134631 153981 173097 176793 198741 359289 403893 412517 463729 530379 596223 1077867 1211679 1237551 1391187 1591137 1788669 3712653 4062437 4173561 4773411 5366007 11137959 12187311 12520683 28437059 33413877 36561933 37562049 85311177 109685799 125935547 255933531 329057397 377806641 767800593 881548829 1133419923 2303401779 2644646487 3400259769 7933939461 10200779307 23801818383 71405455149