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1382302921545 = 3257213316915217
BaseRepresentation
bin10100000111010111101…
…011001011001101001001
311220010222001211001200200
4110013113223023031021
5140121424021442140
62535004324522413
7201603516653100
oct24072753131511
94803861731620
101382302921545
1149325aa65317
121a3a96550409
13a0473388110
144ac92113037
1525e54691030
hex141d7acb349

1382302921545 has 144 divisors (see below), whose sum is σ = 3002716538640. Its totient is φ = 583079067648.

The previous prime is 1382302921477. The next prime is 1382302921591. The reversal of 1382302921545 is 5451292032831.

1382302921545 is a `hidden beast` number, since 1 + 3 + 82 + 3 + 0 + 2 + 9 + 21 + 545 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16216494336 + 1366086427209 = 127344^2 + 1168797^2 .

It is not a de Polignac number, because 1382302921545 - 212 = 1382302917449 is a prime.

It is a super-2 number, since 2×13823029215452 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1382302921545.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90831777 + ... + 90846993.

It is an arithmetic number, because the mean of its divisors is an integer number (20852198185).

Almost surely, 21382302921545 is an apocalyptic number.

1382302921545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1382302921545 is an abundant number, since it is smaller than the sum of its proper divisors (1620413617095).

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

1382302921545 is a wasteful number, since it uses less digits than its factorization.

1382302921545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18424 (or 18414 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1382302921545 in words is "one trillion, three hundred eighty-two billion, three hundred two million, nine hundred twenty-one thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1365 1911 2205 3169 3185 4095 5733 9507 9555 15217 15845 22183 28521 28665 41197 45651 47535 66549 76085 106519 110915 123591 136953 142605 155281 197821 199647 205985 228255 288379 319557 332745 370773 465843 532595 593463 617955 684765 745633 776405 865137 958671 989105 998235 1384747 1397529 1441895 1597785 1780389 1853865 2018653 2236899 2329215 2595411 2967315 3728165 4154241 4325685 4793355 6055959 6710697 6923735 6987645 8901945 9693229 10093265 11184495 12462723 12977055 18167877 20771205 29079687 30279795 33553485 48222673 48466145 62313615 87239061 90839385 144668019 145398435 241113365 337558711 434004057 436195305 626894749 723340095 1012676133 1687793555 1880684247 2170020285 2362910977 3038028399 3134473745 4388263243 5063380665 5642052741 7088732931 9403421235 11814554885 13164789729 15190141995 21266198793 21941316215 28210263705 30717842701 35443664655 39494369187 65823948645 92153528103 106330993965 153589213505 197471845935 276460584309 460767640515 1382302921545