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1441131240 = 2335234312143
BaseRepresentation
bin101010111100101…
…1110101011101000
310201102202001102010
41111321132223220
510422412144430
6355000235520
750466261543
oct12571365350
93642661363
101441131240
1167a53225a
1234276bba0
1319c7501a3
14d957b85a
15867bbcb0
hex55e5eae8

1441131240 has 128 divisors (see below), whose sum is σ = 4616663040. Its totient is φ = 359014656.

The previous prime is 1441131229. The next prime is 1441131253. The reversal of 1441131240 is 421311441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112609 + ... + 124751.

It is an arithmetic number, because the mean of its divisors is an integer number (36067680).

Almost surely, 21441131240 is an apocalyptic number.

1441131240 is a gapful number since it is divisible by the number (10) 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 1441131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308331520).

1441131240 is an abundant number, since it is smaller than the sum of its proper divisors (3175531800).

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

1441131240 is a wasteful number, since it uses less digits than its factorization.

1441131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12223 (or 12219 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1441131240 is about 37962.2343915634. The cubic root of 1441131240 is about 1129.5388621455.

Adding to 1441131240 its reverse (421311441), we get a palindrome (1862442681).

The spelling of 1441131240 in words is "one billion, four hundred forty-one million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 115 120 129 138 172 184 215 230 258 276 344 345 430 460 516 552 645 690 860 920 989 1032 1290 1380 1720 1978 2580 2760 2967 3956 4945 5160 5934 7912 9890 11868 12143 14835 19780 23736 24286 29670 36429 39560 48572 59340 60715 72858 97144 118680 121430 145716 182145 242860 279289 291432 364290 485720 522149 558578 728580 837867 1044298 1117156 1396445 1457160 1566447 1675734 2088596 2234312 2610745 2792890 3132894 3351468 4177192 4189335 5221490 5585780 6265788 6702936 7832235 8378670 10442980 11171560 12009427 12531576 15664470 16757340 20885960 24018854 31328940 33514680 36028281 48037708 60047135 62657880 72056562 96075416 120094270 144113124 180141405 240188540 288226248 360282810 480377080 720565620 1441131240