Search a number
-
+
133302412014000 = 2435328378505543
BaseRepresentation
bin11110010011110011100010…
…111010100111000110110000
3122110222120211021211121010220
4132103303202322213012300
5114433011314433422000
61151302141020253040
740035532015523055
oct3623634272470660
9573876737747126
10133302412014000
1139524265438aa9
1212b4aa980a1180
13594c495847ab8
1424cbc2a6a302c
15106277d0e71a0
hex793ce2ea71b0

133302412014000 has 160 divisors (see below), whose sum is σ = 431285593050624. Its totient is φ = 35421700550400.

The previous prime is 133302412013963. The next prime is 133302412014017. The reversal of 133302412014000 is 410214203331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 37554772 + ... + 40950771.

Almost surely, 2133302412014000 is an apocalyptic number.

133302412014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133302412014000 is an abundant number, since it is smaller than the sum of its proper divisors (297983181036624).

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

133302412014000 is a wasteful number, since it uses less digits than its factorization.

133302412014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78505852 (or 78505836 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133302412014000 its reverse (410214203331), we get a palindrome (133712626217331).

The spelling of 133302412014000 in words is "one hundred thirty-three trillion, three hundred two billion, four hundred twelve million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 283 300 375 400 500 566 600 750 849 1000 1132 1200 1415 1500 1698 2000 2264 2830 3000 3396 4245 4528 5660 6000 6792 7075 8490 11320 13584 14150 16980 21225 22640 28300 33960 35375 42450 56600 67920 70750 84900 106125 113200 141500 169800 212250 283000 339600 424500 566000 849000 1698000 78505543 157011086 235516629 314022172 392527715 471033258 628044344 785055430 942066516 1177583145 1256088688 1570110860 1884133032 1962638575 2355166290 3140221720 3768266064 3925277150 4710332580 5887915725 6280443440 7850554300 9420665160 9813192875 11775831450 15701108600 18841330320 19626385750 22217068669 23551662900 29439578625 31402217200 39252771500 44434137338 47103325800 58879157250 66651206007 78505543000 88868274676 94206651600 111085343345 117758314500 133302412014 157011086000 177736549352 222170686690 235516629000 266604824028 333256030035 355473098704 444341373380 471033258000 533209648056 555426716725 666512060070 888682746760 1066419296112 1110853433450 1333024120140 1666280150175 1777365493520 2221706866900 2666048240280 2777133583625 3332560300350 4443413733800 5332096480560 5554267167250 6665120600700 8331400750875 8886827467600 11108534334500 13330241201400 16662801501750 22217068669000 26660482402800 33325603003500 44434137338000 66651206007000 133302412014000