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24243441040 = 2457134181223
BaseRepresentation
bin10110100101000001…
…011000110110010000
32022120120022102000201
4112211001120312100
5344122310103130
615045353024544
71515526564060
oct264501306620
968516272021
1024243441040
11a310877095
1248470b5154
1323948834b0
14125dac93a0
1596d57bbca
hex5a5058d90

24243441040 has 160 divisors (see below), whose sum is σ = 71066451456. Its totient is φ = 7485419520.

The previous prime is 24243441029. The next prime is 24243441041. The reversal of 24243441040 is 4014434242.

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

It is not an unprimeable number, because it can be changed into a prime (24243441041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257869 + ... + 339091.

Almost surely, 224243441040 is an apocalyptic number.

24243441040 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 24243441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533225728).

24243441040 is an abundant number, since it is smaller than the sum of its proper divisors (46823010416).

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

24243441040 is a wasteful number, since it uses less digits than its factorization.

24243441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81297 (or 81291 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 24243441040 its reverse (4014434242), we get a palindrome (28257875282).

The spelling of 24243441040 in words is "twenty-four billion, two hundred forty-three million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 41 52 56 65 70 80 82 91 104 112 130 140 164 182 205 208 260 280 287 328 364 410 455 520 533 560 574 656 728 820 910 1040 1066 1148 1435 1456 1640 1820 2132 2296 2665 2870 3280 3640 3731 4264 4592 5330 5740 7280 7462 8528 10660 11480 14924 18655 21320 22960 29848 37310 42640 59696 74620 81223 149240 162446 298480 324892 406115 568561 649784 812230 1055899 1137122 1299568 1624460 2111798 2274244 2842805 3248920 3330143 4223596 4548488 5279495 5685610 6497840 6660286 7391293 8447192 9096976 10558990 11371220 13320572 14782586 16650715 16894384 21117980 22742440 23311001 26641144 29565172 33301430 36956465 42235960 43291859 45484880 46622002 53282288 59130344 66602860 73912930 84471920 86583718 93244004 116555005 118260688 133205720 147825860 173167436 186488008 216459295 233110010 266411440 295651720 303043013 346334872 372976016 432918590 466220020 591303440 606086026 692669744 865837180 932440040 1212172052 1515215065 1731674360 1864880080 2424344104 3030430130 3463348720 4848688208 6060860260 12121720520 24243441040