Search a number
-
+
45243435105440 = 2551113311700727
BaseRepresentation
bin10100100100110000011101…
…11000001011110010100000
312221012020012210010210111222
422102120032320023302200
521412232023341333230
6240120314103554212
712346505333052305
oct1222301670136240
9187166183123458
1045243435105440
11134636a6694390
1250a8592a5b968
131c3258c5c8000
14b25b188190ac
15536d43c386e5
hex29260ee0bca0

45243435105440 has 192 divisors, whose sum is σ = 126317315255040. Its totient is φ = 15186606289920.

The previous prime is 45243435105439. The next prime is 45243435105497. The reversal of 45243435105440 is 4450153434254.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 45243435105391 and 45243435105400.

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 31 ways as a sum of consecutive naturals, for example, 1983644 + ... + 9717083.

It is an arithmetic number, because the mean of its divisors is an integer number (657902683620).

Almost surely, 245243435105440 is an apocalyptic number.

45243435105440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45243435105440 is an abundant number, since it is smaller than the sum of its proper divisors (81073880149600).

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

45243435105440 is a wasteful number, since it uses less digits than its factorization.

45243435105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700792 (or 11700758 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 44.

Adding to 45243435105440 its reverse (4450153434254), we get a palindrome (49693588539694).

The spelling of 45243435105440 in words is "forty-five trillion, two hundred forty-three billion, four hundred thirty-five million, one hundred five thousand, four hundred forty".