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444242042240 = 2753911177481
BaseRepresentation
bin1100111011011101110…
…00111001110110000000
31120110122222202222110212
412131232320321312000
524234301430322430
6540025412413252
744044506024623
oct6355670716600
91513588688425
10444242042240
11161447062577
127211b917228
1332b794c9869
1417703ccbdba
15b850a16b95
hex676ee39d80

444242042240 has 64 divisors (see below), whose sum is σ = 1062293663520. Its totient is φ = 177650380800.

The previous prime is 444242042227. The next prime is 444242042267. The reversal of 444242042240 is 42240242444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 444242042197 and 444242042206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2414300 + ... + 2591780.

Almost surely, 2444242042240 is an apocalyptic number.

444242042240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444242042240 is an abundant number, since it is smaller than the sum of its proper divisors (618051621280).

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

444242042240 is a wasteful number, since it uses less digits than its factorization.

444242042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181411 (or 181399 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444242042240 its reverse (42240242444), we get a palindrome (486482284684).

The spelling of 444242042240 in words is "four hundred forty-four billion, two hundred forty-two million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3911 7822 15644 19555 31288 39110 62576 78220 125152 156440 177481 250304 312880 354962 500608 625760 709924 887405 1251520 1419848 1774810 2503040 2839696 3549620 5679392 7099240 11358784 14198480 22717568 28396960 56793920 113587840 694128191 1388256382 2776512764 3470640955 5553025528 6941281910 11106051056 13882563820 22212102112 27765127640 44424204224 55530255280 88848408448 111060510560 222121021120 444242042240