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1445254413441 = 3313747531031637
BaseRepresentation
bin10101000001111111111…
…000000011110010000001
312010011110021011012011120
4111001333320003302001
5142134340112212231
63023535105502453
7206262515551326
oct25017770036201
95104407135146
101445254413441
11507a24490983
121b4124941a29
13a63964444c7
144dd44982b4d
15278db0a4d96
hex1507fe03c81

1445254413441 has 128 divisors (see below), whose sum is σ = 2147710795776. Its totient is φ = 862180899840.

The previous prime is 1445254413437. The next prime is 1445254413443. The reversal of 1445254413441 is 1443144525441.

It is not a de Polignac number, because 1445254413441 - 22 = 1445254413437 is a prime.

It is a super-2 number, since 2×14452544134412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1445254413393 and 1445254413402.

It is not an unprimeable number, because it can be changed into a prime (1445254413443) 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 127 ways as a sum of consecutive naturals, for example, 882866875 + ... + 882868511.

It is an arithmetic number, because the mean of its divisors is an integer number (16778990592).

Almost surely, 21445254413441 is an apocalyptic number.

It is an amenable number.

1445254413441 is a deficient number, since it is larger than the sum of its proper divisors (702456382335).

1445254413441 is a wasteful number, since it uses less digits than its factorization.

1445254413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911.

The product of its digits is 614400, while the sum is 42.

Adding to 1445254413441 its reverse (1443144525441), we get a palindrome (2888398938882).

The spelling of 1445254413441 in words is "one trillion, four hundred forty-five billion, two hundred fifty-four million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 31 37 47 53 93 103 111 141 159 309 1147 1457 1637 1643 1739 1961 2491 3193 3441 3811 4371 4841 4911 4929 5217 5459 5883 7473 9579 11433 14523 16377 50747 53909 60569 60791 76939 77221 86761 92167 118141 150071 152241 161727 168611 169229 179117 181707 182373 201983 230817 231663 256573 260283 276501 354423 450213 505833 507687 537351 605949 769719 1877639 2385109 2689591 2846743 2857177 3210157 4077767 5226941 5552627 5632917 6238607 6261473 7155327 7924717 7953763 8068773 8540229 8571531 8936383 9493201 9630471 12233301 15680823 16657881 18715821 18784419 23774151 23861289 26809149 28479603 88249033 99514867 126410777 150877379 193396817 245666227 264747099 277027873 293214529 294289231 298544601 330646171 379232331 420010001 452632137 580190451 736998681 831083619 879643587 882867693 991938513 1260030003 4677198749 9089650399 10250031301 13020310031 14031596247 15540370037 27268951197 30750093903 39060930093 46621110111 481751471147 1445254413441