Search a number
-
+
114524221235120 = 2451431552765439
BaseRepresentation
bin11010000010100010111111…
…100001100101111110110000
3120000111102000212222102111222
4122002202333201211332300
5110002331101114010440
61043323411222124212
733060046651512224
oct3202427741457660
9500442025872458
10114524221235120
11335444a4279744
1210a17689b80668
134bb97842c4938
14203d00524c784
15d390879432b5
hex6828bf865fb0

114524221235120 has 20 divisors (see below), whose sum is σ = 266268814371840. Its totient is φ = 45809688494016.

The previous prime is 114524221235119. The next prime is 114524221235143. The reversal of 114524221235120 is 21532122425411.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 715776382640 + ... + 715776382799.

It is an arithmetic number, because the mean of its divisors is an integer number (13313440718592).

Almost surely, 2114524221235120 is an apocalyptic number.

114524221235120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114524221235120 is an abundant number, since it is smaller than the sum of its proper divisors (151744593136720).

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

114524221235120 is a wasteful number, since it uses less digits than its factorization.

114524221235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431552765452 (or 1431552765446 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 114524221235120 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred twenty-one million, two hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1431552765439 2863105530878 5726211061756 7157763827195 11452422123512 14315527654390 22904844247024 28631055308780 57262110617560 114524221235120