Search a number
-
+
24244202233240 = 23511292861664109
BaseRepresentation
bin1011000001100110010110…
…00011111101110110011000
310011211201112010201222212221
411200303023003331312120
511134204111232430430
6123321344401313424
75051404634534503
oct540631303756630
9104751463658787
1024244202233240
1177a79aa12a980
122876832335874
13106b2abc5c222
145db5d5da413a
152c09a9b6d57a
hex160ccb0fdd98

24244202233240 has 128 divisors (see below), whose sum is σ = 61582123368000. Its totient is φ = 8509082982400.

The previous prime is 24244202233231. The next prime is 24244202233253. The reversal of 24244202233240 is 4233220244242.

It is a junction number, because it is equal to n+sod(n) for n = 24244202233196 and 24244202233205.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 36174306 + ... + 36838414.

Almost surely, 224244202233240 is an apocalyptic number.

24244202233240 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 24244202233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30791061684000).

24244202233240 is an abundant number, since it is smaller than the sum of its proper divisors (37337921134760).

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

24244202233240 is a wasteful number, since it uses less digits than its factorization.

24244202233240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667021 (or 667017 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 24244202233240 its reverse (4233220244242), we get a palindrome (28477422477482).

It can be divided in two parts, 24244202 and 233240, that added together give a palindrome (24477442).

The spelling of 24244202233240 in words is "twenty-four trillion, two hundred forty-four billion, two hundred two million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 2861 3190 5722 6380 11444 12760 14305 22888 28610 31471 57220 62942 82969 114440 125884 157355 165938 251768 314710 331876 414845 629420 663752 664109 829690 912659 1258840 1328218 1659380 1825318 2656436 3318760 3320545 3650636 4563295 5312872 6641090 7301272 7305199 9126590 13282180 14610398 18253180 19259161 26564360 29220796 36506360 36525995 38518322 58441592 73051990 77036644 96295805 146103980 154073288 192591610 211850771 292207960 385183220 423701542 770366440 847403084 1059253855 1694806168 1900015849 2118507710 3800031698 4237015420 7600063396 8474030840 9500079245 15200126792 19000158490 20900174339 38000316980 41800348678 55100459621 76000633960 83600697356 104500871695 110200919242 167201394712 209001743390 220401838484 275502298105 418003486780 440803676968 551004596210 606105055831 836006973560 1102009192420 1212210111662 2204018384840 2424420223324 3030525279155 4848840446648 6061050558310 12122101116620 24244202233240