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145081644939 = 34711212716651
BaseRepresentation
bin1000011100011110001…
…0100011011110001011
3111212110222201012010000
42013013202203132023
54334111400114224
6150352151054043
713324154430450
oct2070742433613
9455428635100
10145081644939
115658a896200
122414b671323
13108b16088aa
1470444a3827
153b91e040c9
hex21c78a378b

145081644939 has 120 divisors (see below), whose sum is σ = 274412171264. Its totient is φ = 74769156000.

The previous prime is 145081644937. The next prime is 145081644977. The reversal of 145081644939 is 939446180541.

145081644939 is a `hidden beast` number, since 1 + 4 + 508 + 1 + 6 + 44 + 93 + 9 = 666.

145081644939 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 145081644939 - 21 = 145081644937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145081644937) 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 119 ways as a sum of consecutive naturals, for example, 8704764 + ... + 8721414.

Almost surely, 2145081644939 is an apocalyptic number.

145081644939 is a deficient number, since it is larger than the sum of its proper divisors (129330526325).

145081644939 is a wasteful number, since it uses less digits than its factorization.

145081644939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16819 (or 16799 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 145081644939 in words is "one hundred forty-five billion, eighty-one million, six hundred forty-four thousand, nine hundred thirty-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 121 127 189 231 297 363 381 567 693 847 889 891 1089 1143 1397 2079 2541 2667 3267 3429 4191 6237 7623 8001 9779 9801 10287 12573 15367 16651 22869 24003 29337 37719 46101 49953 68607 72009 88011 107569 113157 116557 138303 149859 183161 264033 322707 349671 414909 449577 549483 792099 968121 1049013 1244727 1282127 1348731 1648449 2014771 2114677 2904363 3147039 3846381 4945347 6044313 6344031 8713089 9441117 11539143 14103397 14802739 14836041 18132939 19032093 23261447 34617429 42310191 44408217 54398817 57096279 69784341 103852287 126930573 133224651 162830129 163196451 171288837 209353023 255875917 380791719 399673953 488490387 628059069 767627751 1142375157 1199021859 1465471161 1791131419 1884177207 2302883253 4396413483 5373394257 6908649759 13189240449 16120182771 20725949277 48360548313 145081644939