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1455404711145 = 3571119100965729
BaseRepresentation
bin10101001011011100111…
…000010111110011101001
312011010122122201201222120
4111023130320113303221
5142321132101224040
63032334221541453
7210102166633110
oct25133470276351
95133578651876
101455404711145
11511263020870
121b6098114889
13a7323306218
1450628a6ac77
1527cd22507d0
hex152dce17ce9

1455404711145 has 128 divisors (see below), whose sum is σ = 3059126784000. Its totient is φ = 572433039360.

The previous prime is 1455404711141. The next prime is 1455404711177. The reversal of 1455404711145 is 5411174045541.

It is a happy number.

It is not a de Polignac number, because 1455404711145 - 22 = 1455404711141 is a prime.

It is a super-2 number, since 2×14554047111452 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1455404711097 and 1455404711106.

It is not an unprimeable number, because it can be changed into a prime (1455404711141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22109641 + ... + 22175369.

It is an arithmetic number, because the mean of its divisors is an integer number (23899428000).

Almost surely, 21455404711145 is an apocalyptic number.

1455404711145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1455404711145 is an abundant number, since it is smaller than the sum of its proper divisors (1603722072855).

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

1455404711145 is a wasteful number, since it uses less digits than its factorization.

1455404711145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66783.

The product of its (nonzero) digits is 224000, while the sum is 42.

Adding to 1455404711145 its reverse (5411174045541), we get a palindrome (6866578756686).

The spelling of 1455404711145 in words is "one trillion, four hundred fifty-five billion, four hundred four million, seven hundred eleven thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1009 1045 1155 1463 1995 3027 3135 4389 5045 7063 7315 11099 15135 19171 21189 21945 33297 35315 55495 57513 65729 77693 95855 105945 134197 166485 197187 210881 233079 287565 328645 388465 402591 460103 632643 670985 723019 985935 1054405 1165395 1248851 1380309 1476167 2012955 2169057 2300515 3163215 3615095 3746553 4428501 5061133 6244255 6901545 7380835 8741957 10845285 13737361 15183399 18732765 22142505 25305665 26225871 41212083 43709785 66320561 68686805 75916995 96161527 131129355 198961683 206060415 288484581 331602805 464243927 480807635 729526171 994808415 1260090659 1392731781 1442422905 2188578513 2321219635 3647630855 3780271977 5106683197 6300453295 6963658905 8820634613 10942892565 13860997249 15320049591 18901359885 25533415985 26461903839 41582991747 44103173065 69304986245 76600247955 97026980743 132309519195 207914958735 291080942229 485134903715 1455404711145