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1944440010 = 232523240841
BaseRepresentation
bin111001111100101…
…1100110011001010
312000111210210020200
41303321130303022
512440234040020
6520540033030
766120316212
oct16371346312
95014723220
101944440010
11908649617
12463232776
1324cac3326
14146355242
15b5a8a590
hex73e5ccca

1944440010 has 72 divisors (see below), whose sum is σ = 5285036484. Its totient is φ = 495960960.

The previous prime is 1944439999. The next prime is 1944440011. The reversal of 1944440010 is 100444491.

It can be written as a sum of positive squares in 2 ways, for example, as 1883646801 + 60793209 = 43401^2 + 7797^2 .

It is not an unprimeable number, because it can be changed into a prime (1944440011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27190 + ... + 68030.

Almost surely, 21944440010 is an apocalyptic number.

1944440010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1944440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642518242).

1944440010 is an abundant number, since it is smaller than the sum of its proper divisors (3340596474).

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

1944440010 is a wasteful number, since it uses less digits than its factorization.

1944440010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40900 (or 40874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1944440010 is about 44095.8049025074. The cubic root of 1944440010 is about 1248.1444490408.

The spelling of 1944440010 in words is "one billion, nine hundred forty-four million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 529 690 1035 1058 1587 2070 2645 3174 4761 5290 7935 9522 15870 23805 40841 47610 81682 122523 204205 245046 367569 408410 612615 735138 939343 1225230 1837845 1878686 2818029 3675690 4696715 5636058 8454087 9393430 14090145 16908174 21604889 28180290 42270435 43209778 64814667 84540870 108024445 129629334 194444001 216048890 324073335 388888002 648146670 972220005 1944440010