Search a number
-
+
45134421453040 = 2451793213146203
BaseRepresentation
bin10100100001100101011010…
…01010000110100011110000
312220210210211102201110200111
422100302231022012203300
521403440243342444130
6235554244511031104
712335566016231653
oct1220625512064360
9186723742643614
1045134421453040
1113421445292887
12508b42a50b494
131c2520856814a
14b2073662b89a
155340b352702a
hex290cad2868f0

45134421453040 has 40 divisors (see below), whose sum is σ = 104938148425968. Its totient is φ = 18053662164480.

The previous prime is 45134421453001. The next prime is 45134421453103. The reversal of 45134421453040 is 4035412443154.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45134421452984 and 45134421453002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12772579 + ... + 15918781.

Almost surely, 245134421453040 is an apocalyptic number.

45134421453040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45134421453040 is an abundant number, since it is smaller than the sum of its proper divisors (59803726972928).

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

45134421453040 is a wasteful number, since it uses less digits than its factorization.

45134421453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325537 (or 3325531 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 45134421453040 its reverse (4035412443154), we get a palindrome (49169833896194).

The spelling of 45134421453040 in words is "forty-five trillion, one hundred thirty-four billion, four hundred twenty-one million, four hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179321 358642 717284 896605 1434568 1793210 2869136 3146203 3586420 6292406 7172840 12584812 14345680 15731015 25169624 31462030 50339248 62924060 125848120 251696240 564180268163 1128360536326 2256721072652 2820901340815 4513442145304 5641802681630 9026884290608 11283605363260 22567210726520 45134421453040