Search a number
-
+
24343013031330 = 23571512632918921
BaseRepresentation
bin1011000100011110011001…
…01001001111110110100010
310012012011120102200121210110
411202033030221033312202
511142313442314000310
6123435005323512150
75061503361500160
oct542171451176642
9105164512617713
1024343013031330
1178358a5264a84
122891a09988656
1310776c82883a6
146022cb106230
152c333e7a1d20
hex1623cca4fda2

24343013031330 has 128 divisors (see below), whose sum is σ = 67467169161216. Its totient is φ = 5506250688000.

The previous prime is 24343013031313. The next prime is 24343013031341. The reversal of 24343013031330 is 3313031034342.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6880270 + ... + 9799190.

It is an arithmetic number, because the mean of its divisors is an integer number (527087259072).

Almost surely, 224343013031330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24343013031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33733584580608).

24343013031330 is an abundant number, since it is smaller than the sum of its proper divisors (43124156129886).

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

24343013031330 is a wasteful number, since it uses less digits than its factorization.

24343013031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919352.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 24343013031330 its reverse (3313031034342), we get a palindrome (27656044065672).

The spelling of 24343013031330 in words is "twenty-four trillion, three hundred forty-three billion, thirteen million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 263 302 453 526 755 789 906 1057 1315 1510 1578 1841 2114 2265 2630 3171 3682 3945 4530 5285 5523 6342 7890 9205 10570 11046 15855 18410 27615 31710 39713 55230 79426 119139 198565 238278 277991 397130 555982 595695 833973 1191390 1389955 1667946 2779910 2918921 4169865 5837842 8339730 8756763 14594605 17513526 20432447 29189210 40864894 43783815 61297341 87567630 102162235 122594682 204324470 306486705 440757071 612973410 767676223 881514142 1322271213 1535352446 2203785355 2303028669 2644542426 3085299497 3838381115 4407570710 4606057338 5373733561 6170598994 6611356065 7676762230 9255898491 10747467122 11515143345 13222712130 15426497485 16121200683 18511796982 23030286690 26868667805 30852994970 32242401366 46279492455 53737335610 80606003415 92558984910 115919109673 161212006830 231838219346 347757329019 579595548365 695514658038 811433767711 1159191096730 1622867535422 1738786645095 2434301303133 3477573290190 4057168838555 4868602606266 8114337677110 12171506515665 24343013031330