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1944041472 = 2113411719
BaseRepresentation
bin111001111011111…
…1011100000000000
312000111001112120000
41303313323200000
512440133311342
6520523320000
766114036252
oct16367734000
95014045500
101944041472
119083a714a
12463080000
1324c9b3ac9
1414628dcd2
15b5a0c44c
hex73dfb800

1944041472 has 120 divisors (see below), whose sum is σ = 5807201400. Its totient is φ = 647958528.

The previous prime is 1944041461. The next prime is 1944041479. The reversal of 1944041472 is 2741404491.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1944041479) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 160029 + ... + 171747.

It is an arithmetic number, because the mean of its divisors is an integer number (48393345).

Almost surely, 21944041472 is an apocalyptic number.

1944041472 is a gapful number since it is divisible by the number (12) 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 1944041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903600700).

1944041472 is an abundant number, since it is smaller than the sum of its proper divisors (3863159928).

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

1944041472 is an equidigital number, since it uses as much as digits as its factorization.

1944041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1944041472 is about 44091.2856696196. The cubic root of 1944041472 is about 1248.0591687923.

The spelling of 1944041472 in words is "one billion, nine hundred forty-four million, forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 11719 13824 18432 20736 23438 27648 35157 41472 46876 55296 70314 82944 93752 105471 140628 165888 187504 210942 281256 316413 375008 421884 562512 632826 750016 843768 949239 1125024 1265652 1500032 1687536 1898478 2250048 2531304 3000064 3375072 3796956 4500096 5062608 6000128 6750144 7593912 9000192 10125216 12000256 13500288 15187824 18000384 20250432 24000512 27000576 30375648 36000768 40500864 54001152 60751296 72001536 81001728 108002304 121502592 162003456 216004608 243005184 324006912 486010368 648013824 972020736 1944041472