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3144244440 = 2335233136749
BaseRepresentation
bin1011101101101001…
…0101110011011000
322010010110011111210
42323122111303120
522414411310230
61240000023120
7140626431261
oct27332256330
98103404453
103144244440
111373931427
12739001aa0
133b154978c
1421b833968
15136087eb0
hexbb695cd8

3144244440 has 128 divisors (see below), whose sum is σ = 10160640000. Its totient is φ = 776117760.

The previous prime is 3144244403. The next prime is 3144244447. The reversal of 3144244440 is 444424413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3144244398 and 3144244407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144244447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67186 + ... + 103934.

It is an arithmetic number, because the mean of its divisors is an integer number (79380000).

Almost surely, 23144244440 is an apocalyptic number.

3144244440 is a gapful number since it is divisible by the number (30) 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 3144244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320000).

3144244440 is an abundant number, since it is smaller than the sum of its proper divisors (7016395560).

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

3144244440 is a wasteful number, since it uses less digits than its factorization.

3144244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36817 (or 36813 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 3144244440 is about 56073.5627546529. The cubic root of 3144244440 is about 1465.0038540437.

Adding to 3144244440 its reverse (444424413), we get a palindrome (3588668853).

The spelling of 3144244440 in words is "three billion, one hundred forty-four million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 230 248 276 310 345 372 460 465 552 620 690 713 744 920 930 1240 1380 1426 1860 2139 2760 2852 3565 3720 4278 5704 7130 8556 10695 14260 17112 21390 28520 36749 42780 73498 85560 110247 146996 183745 220494 293992 367490 440988 551235 734980 845227 881976 1102470 1139219 1469960 1690454 2204940 2278438 2535681 3380908 3417657 4226135 4409880 4556876 5071362 5696095 6761816 6835314 8452270 9113752 10142724 11392190 12678405 13670628 16904540 17088285 20285448 22784380 25356810 26202037 27341256 33809080 34176570 45568760 50713620 52404074 68353140 78606111 101427240 104808148 131010185 136706280 157212222 209616296 262020370 314424444 393030555 524040740 628848888 786061110 1048081480 1572122220 3144244440