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1445112224532 = 22322331276720347
BaseRepresentation
bin10101000001110111011…
…001101001101100010100
312010011002100121020122200
4111001313121221230110
5142134042212141112
63023513030124500
7206256141143364
oct25016731515424
95104070536580
101445112224532
115079611a4289
121b40a51b0730
13a6372b4ba62
144dd2db2c9a4
15278cd869cdc
hex15077669b14

1445112224532 has 144 divisors (see below), whose sum is σ = 3936320274432. Its totient is φ = 445714125120.

The previous prime is 1445112224483. The next prime is 1445112224593. The reversal of 1445112224532 is 2354222115441.

1445112224532 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 112 + 2 + 2 + 4 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71013183 + ... + 71033529.

Almost surely, 21445112224532 is an apocalyptic number.

1445112224532 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 1445112224532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968160137216).

1445112224532 is an abundant number, since it is smaller than the sum of its proper divisors (2491208049900).

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

1445112224532 is a wasteful number, since it uses less digits than its factorization.

1445112224532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23178 (or 23173 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 1445112224532 its reverse (2354222115441), we get a palindrome (3799334339973).

The spelling of 1445112224532 in words is "one trillion, four hundred forty-five billion, one hundred twelve million, two hundred twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2767 2852 4278 5534 6417 8301 8556 11068 12834 16602 20347 24903 25668 33204 40694 49806 61041 63641 81388 85777 99612 122082 127282 171554 183123 190923 244164 254564 257331 343108 366246 381846 467981 514662 572769 630757 732492 763692 771993 935962 1029324 1145538 1261514 1403943 1543986 1871924 1892271 1972871 2291076 2523028 2807886 3087972 3784542 3945742 4211829 5615772 5676813 5918613 7569084 7891484 8423658 11353626 11837226 14507411 16847316 17755839 22707252 23674452 29014822 35511678 43522233 56300149 58029644 71023356 87044466 112600298 130566699 168900447 174088932 225200596 261133398 337800894 506701341 522266796 675601788 1013402682 1294903427 1745304619 2026805364 2589806854 3490609238 3884710281 5179613708 5235913857 6981218476 7769420562 10471827714 11654130843 15538841124 15707741571 20943655428 23308261686 31415483142 40142006237 46616523372 62830966284 80284012474 120426018711 160568024948 240852037422 361278056133 481704074844 722556112266 1445112224532