Search a number
-
+
140300307179280 = 243251728949395953
BaseRepresentation
bin11111111001101000110101…
…111110001010011100010000
3200101202120121122011220002200
4133321220311332022130100
5121342140012114214110
61214221023224043200
741360235255142023
oct3771506576123420
9611676548156080
10140300307179280
1140782031865916
121389b181003500
136039354081aa1
1426907dd1511ba
1511347edb266c0
hex7f9a35f8a710

140300307179280 has 240 divisors, whose sum is σ = 498909879889200. Its totient is φ = 35211320819712.

The previous prime is 140300307179269. The next prime is 140300307179311. The reversal of 140300307179280 is 82971703003041.

140300307179280 is a `hidden beast` number, since 1 + 4 + 0 + 300 + 307 + 17 + 9 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10176916656384 + 130123390522896 = 3190128^2 + 11407164^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1403003071792802 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354137784 + ... + 354533736.

It is an arithmetic number, because the mean of its divisors is an integer number (2078791166205).

Almost surely, 2140300307179280 is an apocalyptic number.

140300307179280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140300307179280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249454939944600).

140300307179280 is an abundant number, since it is smaller than the sum of its proper divisors (358609572709920).

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

140300307179280 is a wasteful number, since it uses less digits than its factorization.

140300307179280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424938 (or 424929 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 140300307179280 in words is "one hundred forty trillion, three hundred billion, three hundred seven million, one hundred seventy-nine thousand, two hundred eighty".