Search a number
-
+
43784274225440 = 255739093101987
BaseRepresentation
bin10011111010010010100100…
…00111001010100100100000
312202000201212100111220112102
421331021102013022210200
521214330143200203230
6233042115022145532
712136211063162450
oct1175112207124440
9182021770456472
1043784274225440
1112a5089638a341
124ab1828a222a8
131b57abb062c88
14ab5254d89d60
1550dde1d79045
hex27d2521ca920

43784274225440 has 48 divisors (see below), whose sum is σ = 118217540411712. Its totient is φ = 15011751162624.

The previous prime is 43784274225437. The next prime is 43784274225451. The reversal of 43784274225440 is 4452247248734.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 19546549874 + ... + 19546552113.

It is an arithmetic number, because the mean of its divisors is an integer number (2462865425244).

Almost surely, 243784274225440 is an apocalyptic number.

43784274225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43784274225440 is an abundant number, since it is smaller than the sum of its proper divisors (74433266186272).

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

43784274225440 is a wasteful number, since it uses less digits than its factorization.

43784274225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39093102009 (or 39093102001 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 56.

The spelling of 43784274225440 in words is "forty-three trillion, seven hundred eighty-four billion, two hundred seventy-four million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 39093101987 78186203974 156372407948 195465509935 273651713909 312744815896 390931019870 547303427818 625489631792 781862039740 1094606855636 1250979263584 1368258569545 1563724079480 2189213711272 2736517139090 3127448158960 4378427422544 5473034278180 6254896317920 8756854845088 10946068556360 21892137112720 43784274225440