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1144232440 = 2351319179647
BaseRepresentation
bin100010000110011…
…1001100111111000
32221202002000211021
41010030321213320
54320410414230
6305312512224
740232546431
oct10414714770
92852060737
101144232440
1153798684a
1227b24b674
13153099b20
14abd74488
156a6c1c7a
hex443399f8

1144232440 has 128 divisors (see below), whose sum is σ = 2939328000. Its totient is φ = 397398528.

The previous prime is 1144232429. The next prime is 1144232461. The reversal of 1144232440 is 442324411.

It is a congruent number.

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, 1768197 + ... + 1768843.

It is an arithmetic number, because the mean of its divisors is an integer number (22963500).

Almost surely, 21144232440 is an apocalyptic number.

1144232440 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 1144232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664000).

1144232440 is an abundant number, since it is smaller than the sum of its proper divisors (1795095560).

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

1144232440 is a wasteful number, since it uses less digits than its factorization.

1144232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1144232440 is about 33826.5049923873. The cubic root of 1144232440 is about 1045.9351350915.

Adding to 1144232440 its reverse (442324411), we get a palindrome (1586556851).

It can be divided in two parts, 1 and 144232440, that added together give a palindrome (144232441).

The spelling of 1144232440 in words is "one billion, one hundred forty-four million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 179 190 247 260 358 380 494 520 647 716 760 895 988 1235 1294 1432 1790 1976 2327 2470 2588 3235 3401 3580 4654 4940 5176 6470 6802 7160 8411 9308 9880 11635 12293 12940 13604 16822 17005 18616 23270 24586 25880 27208 33644 34010 42055 44213 46540 49172 61465 67288 68020 84110 88426 93080 98344 115813 122930 136040 159809 168220 176852 221065 231626 245860 319618 336440 353704 442130 463252 491720 579065 639236 799045 884260 926504 1158130 1278472 1505569 1598090 1768520 2200447 2316260 3011138 3196180 4400894 4632520 6022276 6392360 7527845 8801788 11002235 12044552 15055690 17603576 22004470 28605811 30111380 44008940 57211622 60222760 88017880 114423244 143029055 228846488 286058110 572116220 1144232440