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1444938948 = 2232375991811
BaseRepresentation
bin101011000100000…
…0000010011000100
310201200220111121100
41112020000103010
510424401021243
6355214020100
750543530665
oct12610002304
93650814540
101444938948
116816a3022
12343aa7630
131a048437b
14d9c8d36c
1586cc00d3
hex562004c4

1444938948 has 72 divisors (see below), whose sum is σ = 3759537600. Its totient is φ = 467588160.

The previous prime is 1444938931. The next prime is 1444938967. The reversal of 1444938948 is 8498394441.

1444938948 is a `hidden beast` number, since 144 + 493 + 8 + 9 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1444938894 and 1444938903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796963 + ... + 798773.

It is an arithmetic number, because the mean of its divisors is an integer number (52215800).

Almost surely, 21444938948 is an apocalyptic number.

1444938948 is a gapful number since it is divisible by the number (18) 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 1444938948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879768800).

1444938948 is an abundant number, since it is smaller than the sum of its proper divisors (2314598652).

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

1444938948 is a wasteful number, since it uses less digits than its factorization.

1444938948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2452 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1444938948 is about 38012.3525712366. The cubic root of 1444938948 is about 1130.5327970137.

The spelling of 1444938948 in words is "one billion, four hundred forty-four million, nine hundred thirty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 599 666 1198 1332 1797 1811 2396 3594 3622 5391 5433 7188 7244 10782 10866 16299 21564 21732 22163 32598 44326 65196 66489 67007 88652 132978 134014 199467 201021 265956 268028 398934 402042 603063 797868 804084 1084789 1206126 2169578 2412252 3254367 4339156 6508734 9763101 13017468 19526202 39052404 40137193 80274386 120411579 160548772 240823158 361234737 481646316 722469474 1444938948