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10022403140004 = 22329891564720681
BaseRepresentation
bin1001000111011000010111…
…0001110110100110100100
31022111010120111200200102110
42101312011301312212210
52303201340200440004
633152121202041020
72053044331033263
oct221660561664644
938433514620373
1010022403140004
11321452831a762
12115a4aa649170
1357915467b098
142691306505da
15125a8bb55589
hex91d85c769a4

10022403140004 has 96 divisors (see below), whose sum is σ = 24466574361600. Its totient is φ = 3189000263680.

The previous prime is 10022403139937. The next prime is 10022403140039. The reversal of 10022403140004 is 40004130422001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484608544 + ... + 484629224.

It is an arithmetic number, because the mean of its divisors is an integer number (254860149600).

Almost surely, 210022403140004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022403140004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12233287180800).

10022403140004 is an abundant number, since it is smaller than the sum of its proper divisors (14444171221596).

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

10022403140004 is a wasteful number, since it uses less digits than its factorization.

10022403140004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36453 (or 36451 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10022403140004 its reverse (40004130422001), we get a palindrome (50026533562005).

The spelling of 10022403140004 in words is "ten trillion, twenty-two billion, four hundred three million, one hundred forty thousand, four".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 267 348 356 534 1068 2581 5162 7743 10324 15486 15647 20681 30972 31294 41362 46941 62043 62588 82724 93882 124086 187764 248172 453763 599749 907526 1199498 1361289 1392583 1799247 1815052 1840609 2398996 2722578 2785166 3598494 3681218 4177749 5445156 5521827 5570332 7196988 7362436 8355498 11043654 16710996 22087308 40384907 53377661 80769814 106755322 121154721 160132983 161539628 213510644 242309442 320265966 323595607 484618884 640531932 647191214 970786821 1294382428 1941573642 3883147284 9384272603 18768545206 28152817809 28800009023 37537090412 56305635618 57600018046 86400027069 112611271236 115200036092 172800054138 345600108276 835200261667 1670400523334 2505600785001 3340801046668 5011201570002 10022403140004