Search a number
-
+
24044919840 = 2532544937189
BaseRepresentation
bin10110011001001100…
…000101110000100000
32022001201202111010200
4112121030011300200
5343220444413330
615013542025200
71510566306054
oct263114056040
968051674120
1024044919840
11a219804187
1247b0718200
1323626c6326
1412415adc64
1595ae15a60
hex599305c20

24044919840 has 144 divisors (see below), whose sum is σ = 82238247000. Its totient is φ = 6397526016.

The previous prime is 24044919809. The next prime is 24044919851. The reversal of 24044919840 is 4891944042.

It can be written as a sum of positive squares in 4 ways, for example, as 23214788496 + 830131344 = 152364^2 + 28812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×240449198402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627966 + ... + 665154.

Almost surely, 224044919840 is an apocalyptic number.

24044919840 is a gapful number since it is divisible by the number (20) 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 24044919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41119123500).

24044919840 is an abundant number, since it is smaller than the sum of its proper divisors (58193327160).

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

24044919840 is a wasteful number, since it uses less digits than its factorization.

24044919840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37659 (or 37648 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 24044919840 in words is "twenty-four billion, forty-four million, nine hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 449 480 720 898 1347 1440 1796 2245 2694 3592 4041 4490 5388 6735 7184 8082 8980 10776 13470 14368 16164 17960 20205 21552 26940 32328 35920 37189 40410 43104 53880 64656 71840 74378 80820 107760 111567 129312 148756 161640 185945 215520 223134 297512 323280 334701 371890 446268 557835 595024 646560 669402 743780 892536 1115670 1190048 1338804 1487560 1673505 1785072 2231340 2677608 2975120 3347010 3570144 4462680 5355216 5950240 6694020 8925360 10710432 13388040 16697861 17850720 26776080 33395722 50093583 53552160 66791444 83489305 100187166 133582888 150280749 166978610 200374332 250467915 267165776 300561498 333957220 400748664 500935830 534331552 601122996 667914440 751403745 801497328 1001871660 1202245992 1335828880 1502807490 1602994656 2003743320 2404491984 2671657760 3005614980 4007486640 4808983968 6011229960 8014973280 12022459920 24044919840