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24344430040 = 2357233780191
BaseRepresentation
bin10110101011000010…
…101000010111011000
32022211121100011220001
4112223002220113120
5344324133230130
615103401342344
71521164145460
oct265302502730
968747304801
1024344430040
11a362883677
124874a979b4
1323ac7821b8
14126d296ba0
159773796ca
hex5ab0a85d8

24344430040 has 64 divisors (see below), whose sum is σ = 65321717760. Its totient is φ = 7983761280.

The previous prime is 24344430031. The next prime is 24344430119. The reversal of 24344430040 is 4003444342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 24344429990 and 24344430008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1883656 + ... + 1896535.

It is an arithmetic number, because the mean of its divisors is an integer number (1020651840).

Almost surely, 224344430040 is an apocalyptic number.

24344430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24344430040 is an abundant number, since it is smaller than the sum of its proper divisors (40977287720).

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

24344430040 is a wasteful number, since it uses less digits than its factorization.

24344430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780232 (or 3780228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 24344430040 its reverse (4003444342), we get a palindrome (28347874382).

The spelling of 24344430040 in words is "twenty-four billion, three hundred forty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 3780191 7560382 15120764 18900955 26461337 30241528 37801910 52922674 75603820 86944393 105845348 132306685 151207640 173888786 211690696 264613370 347777572 434721965 529226740 608610751 695555144 869443930 1058453480 1217221502 1738887860 2434443004 3043053755 3477775720 4868886008 6086107510 12172215020 24344430040