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11424322025000 = 23552331961257
BaseRepresentation
bin1010011000111110111010…
…1001111111011000101000
31111110011011122101221020222
42212033232221333120220
52444134002414300000
640144132221105212
72256244230656243
oct246175651773050
944404148357228
1011424322025000
113705033a51715
12134613a3b8208
1364b40299b561
142b6d23a3c25a
1514c28d4a3a85
hexa63eea7f628

11424322025000 has 96 divisors (see below), whose sum is σ = 26888964855480. Its totient is φ = 4550113920000.

The previous prime is 11424322024859. The next prime is 11424322025023. The reversal of 11424322025000 is 52022342411.

It can be written as a sum of positive squares in 12 ways, for example, as 9417742119556 + 2006579905444 = 3068834^2 + 1416538^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4844372 + ... + 6805628.

Almost surely, 211424322025000 is an apocalyptic number.

11424322025000 is a gapful number since it is divisible by the number (10) 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 11424322025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444482427740).

11424322025000 is an abundant number, since it is smaller than the sum of its proper divisors (15464642830480).

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

11424322025000 is an equidigital number, since it uses as much as digits as its factorization.

11424322025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961521 (or 1961497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 11424322025000 its reverse (52022342411), we get a palindrome (11476344367411).

The spelling of 11424322025000 in words is "eleven trillion, four hundred twenty-four billion, three hundred twenty-two million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 625 932 1000 1165 1250 1864 2330 2500 3125 4660 5000 5825 6250 9320 11650 12500 23300 25000 29125 46600 58250 116500 145625 233000 291250 582500 728125 1165000 1456250 1961257 2912500 3922514 5825000 7845028 9806285 15690056 19612570 39225140 49031425 78450280 98062850 196125700 245157125 392251400 456972881 490314250 913945762 980628500 1225785625 1827891524 1961257000 2284864405 2451571250 3655783048 4569728810 4903142500 6128928125 9139457620 9806285000 11424322025 12257856250 18278915240 22848644050 24515712500 45697288100 49031425000 57121610125 91394576200 114243220250 228486440500 285608050625 456972881000 571216101250 1142432202500 1428040253125 2284864405000 2856080506250 5712161012500 11424322025000