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45323145144340 = 22573121632066717
BaseRepresentation
bin10100100111000100111011…
…11101110110100000010100
312221110211221220122022122221
422103202131331312200110
521420033300124104330
6240221055422432124
712355326534155260
oct1223423575664024
9187424856568587
1045323145144340
111349448a953398
1250bbb19732644
131c39c536384bb
14b2991ac750a0
15538e5ba2cb7a
hex29389df76814

45323145144340 has 144 divisors (see below), whose sum is σ = 113087237671296. Its totient is φ = 14945828762880.

The previous prime is 45323145144283. The next prime is 45323145144413. The reversal of 45323145144340 is 4344154132354.

45323145144340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20896662 + ... + 22963378.

It is an arithmetic number, because the mean of its divisors is an integer number (785328039384).

Almost surely, 245323145144340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45323145144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56543618835648).

45323145144340 is an abundant number, since it is smaller than the sum of its proper divisors (67764092526956).

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

45323145144340 is a wasteful number, since it uses less digits than its factorization.

45323145144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066958 (or 2066925 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 43.

Adding to 45323145144340 its reverse (4344154132354), we get a palindrome (49667299276694).

The spelling of 45323145144340 in words is "forty-five trillion, three hundred twenty-three billion, one hundred forty-five million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 163 217 310 326 434 620 652 815 868 961 1085 1141 1630 1922 2170 2282 3260 3844 4340 4564 4805 5053 5705 6727 9610 10106 11410 13454 19220 20212 22820 25265 26908 33635 35371 50530 67270 70742 101060 134540 141484 156643 176855 313286 353710 626572 707420 783215 1096501 1566430 2066717 2193002 3132860 4133434 4386004 5482505 8266868 10333585 10965010 14467019 20667170 21930020 28934038 41334340 57868076 64068227 72335095 128136454 144670190 256272908 289340380 320341135 336874871 448477589 640682270 673749742 896955178 1281364540 1347499484 1684374355 1793910356 1986115037 2242387945 2358124097 3368748710 3972230074 4484775890 4716248194 6737497420 7944460148 8969551780 9432496388 9930575185 10443121001 11790620485 13902805259 19861150370 20886242002 23581240970 27805610518 39722300740 41772484004 47162481940 52215605005 55611221036 69514026295 73101847007 104431210010 139028052590 146203694014 208862420020 278056105180 292407388028 323736751031 365509235035 647473502062 731018470070 1294947004124 1462036940140 1618683755155 2266157257217 3237367510310 4532314514434 6474735020620 9064629028868 11330786286085 22661572572170 45323145144340