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11324424440 = 2357232337547
BaseRepresentation
bin10101000101111110…
…10000000011111000
31002020012220100220102
422202333100003320
5141143023040230
65111413414532
7550426006460
oct124277200370
932205810812
1011324424440
11489138476a
12224063a448
1310b61c7684
14796000ba0
154642c5045
hex2a2fd00f8

11324424440 has 128 divisors (see below), whose sum is σ = 30520488960. Its totient is φ = 3697419264.

The previous prime is 11324424437. The next prime is 11324424469. The reversal of 11324424440 is 4442442311.

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, 1496747 + ... + 1504293.

It is an arithmetic number, because the mean of its divisors is an integer number (238441320).

Almost surely, 211324424440 is an apocalyptic number.

11324424440 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 11324424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260244480).

11324424440 is an abundant number, since it is smaller than the sum of its proper divisors (19196064520).

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

11324424440 is a wasteful number, since it uses less digits than its factorization.

11324424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 11324424440 its reverse (4442442311), we get a palindrome (15766866751).

The spelling of 11324424440 in words is "eleven billion, three hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 233 280 322 460 466 644 805 920 932 1165 1288 1610 1631 1864 2330 3220 3262 4660 5359 6440 6524 7547 8155 9320 10718 13048 15094 16310 21436 26795 30188 32620 37513 37735 42872 52829 53590 60376 65240 75026 75470 105658 107180 150052 150940 173581 187565 211316 214360 264145 300104 301880 347162 375130 422632 528290 694324 750260 867905 1056580 1215067 1388648 1500520 1735810 1758451 2113160 2430134 3471620 3516902 4860268 6075335 6943240 7033804 8792255 9720536 12150670 12309157 14067608 17584510 24301340 24618314 35169020 40444373 48602680 49236628 61545785 70338040 80888746 98473256 123091570 161777492 202221865 246183140 283110611 323554984 404443730 492366280 566221222 808887460 1132442444 1415553055 1617774920 2264884888 2831106110 5662212220 11324424440