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1445132212332 = 2231789625712721
BaseRepresentation
bin10101000001111000100…
…101111001100001101100
312010011010202012201202120
4111001320211321201230
5142134112321243312
63023515022352540
7206256503062014
oct25017045714154
95104122181676
101445132212332
11507971506426
121b40aba2b750
13a6377029763
144dd32652c44
15278d04b728c
hex1507897986c

1445132212332 has 96 divisors (see below), whose sum is σ = 3611303559360. Its totient is φ = 448173834240.

The previous prime is 1445132212331. The next prime is 1445132212339. The reversal of 1445132212332 is 2332122315441.

It is a happy number.

It is a super-2 number, since 2×14451322123322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1445132212293 and 1445132212302.

It is not an unprimeable number, because it can be changed into a prime (1445132212331) 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 31 ways as a sum of consecutive naturals, for example, 113595732 + ... + 113608452.

It is an arithmetic number, because the mean of its divisors is an integer number (37617745410).

Almost surely, 21445132212332 is an apocalyptic number.

1445132212332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445132212332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805651779680).

1445132212332 is an abundant number, since it is smaller than the sum of its proper divisors (2166171347028).

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

1445132212332 is a wasteful number, since it uses less digits than its factorization.

1445132212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19091 (or 19089 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 1445132212332 its reverse (2332122315441), we get a palindrome (3777254527773).

The spelling of 1445132212332 in words is "one trillion, four hundred forty-five billion, one hundred thirty-two million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 1068 1513 3026 4539 6052 6257 9078 12514 12721 18156 18771 25028 25442 37542 38163 50884 75084 76326 106369 152652 212738 216257 319107 425476 432514 556873 638214 648771 865028 1113746 1132169 1276428 1297542 1670619 2227492 2264338 2595084 3341238 3396507 4528676 6682476 6793014 9466841 13586028 18933682 19246873 28400523 37867364 38493746 56801046 57740619 76987492 79595297 113602092 115481238 159190594 230962476 238785891 318381188 477571782 955143564 1353120049 2706240098 4059360147 5412480196 7083981433 8118720294 14167962866 16237440588 21251944299 28335925732 42503888598 85007777196 120427684361 240855368722 361283053083 481710737444 722566106166 1445132212332