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24045213040 = 2457310933767
BaseRepresentation
bin10110011001001101…
…001101010101110000
32022001202022101022221
4112121031031111300
5343221033304130
615013552210424
71510601636632
oct263115152560
968052271287
1024045213040
11a2199944a2
1247b0839a14
132362799914
141241648a52
1595ae7287a
hex59934d570

24045213040 has 80 divisors (see below), whose sum is σ = 56737850688. Its totient is φ = 9475135488.

The previous prime is 24045213001. The next prime is 24045213077. The reversal of 24045213040 is 4031254042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 24045212996 and 24045213014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6381237 + ... + 6385003.

Almost surely, 224045213040 is an apocalyptic number.

24045213040 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 24045213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28368925344).

24045213040 is an abundant number, since it is smaller than the sum of its proper divisors (32692637648).

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

24045213040 is a wasteful number, since it uses less digits than its factorization.

24045213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 24045213040 its reverse (4031254042), we get a palindrome (28076467082).

The spelling of 24045213040 in words is "twenty-four billion, forty-five million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1093 1168 1460 2186 2920 3767 4372 5465 5840 7534 8744 10930 15068 17488 18835 21860 30136 37670 43720 60272 75340 79789 87440 150680 159578 274991 301360 319156 398945 549982 638312 797890 1099964 1276624 1374955 1595780 2199928 2749910 3191560 4117331 4399856 5499820 6383120 8234662 10999640 16469324 20586655 21999280 32938648 41173310 65877296 82346620 164693240 300565163 329386480 601130326 1202260652 1502825815 2404521304 3005651630 4809042608 6011303260 12022606520 24045213040