Search a number
-
+
300442275543140 = 2257312891381115601
BaseRepresentation
bin100010001010000000010101…
…1000110111111100001100100
31110101210000000202102001200222
41010110000223012333201210
5303334421240014340030
62542553135340023512
7120166144444532333
oct10424005306774144
91411700022361628
10300442275543140
1187803943037125
1229843886231b98
13cb8477b386933
1454296ab4a9d1a
1524b02d68ce3e5
hex111402b1bf864

300442275543140 has 96 divisors (see below), whose sum is σ = 640536837504480. Its totient is φ = 118351908864000.

The previous prime is 300442275543103. The next prime is 300442275543211. The reversal of 300442275543140 is 41345572244003.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3314868379684 + 297127407163456 = 1820678^2 + 17237384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 300442275543091 and 300442275543100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598901340 + ... + 2599016940.

It is an arithmetic number, because the mean of its divisors is an integer number (6672258724005).

Almost surely, 2300442275543140 is an apocalyptic number.

It is an amenable number.

300442275543140 is an abundant number, since it is smaller than the sum of its proper divisors (340094561961340).

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

300442275543140 is a wasteful number, since it uses less digits than its factorization.

300442275543140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118353 (or 118351 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 44.

The spelling of 300442275543140 in words is "three hundred trillion, four hundred forty-two billion, two hundred seventy-five million, five hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1289 1381 1460 2578 2762 5156 5524 6445 6905 12890 13810 25780 27620 94097 100813 115601 188194 201626 231202 376388 403252 462404 470485 504065 578005 940970 1008130 1156010 1780109 1881940 2016260 2312020 3560218 7120436 8438873 8900545 16877746 17801090 33755492 35602180 42194365 84388730 129947957 149009689 159644981 168777460 259895914 298019378 319289962 519791828 596038756 638579924 649739785 745048445 798224905 1299479570 1490096890 1596449810 2598959140 2980193780 3192899620 10877707297 11654083613 21755414594 23308167226 43510829188 46616334452 54388536485 58270418065 108777072970 116540836130 205782380509 217554145940 233081672260 411564761018 823129522036 1028911902545 2057823805090 4115647610180 15022113777157 30044227554314 60088455108628 75110568885785 150221137771570 300442275543140