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4440010122144 = 2532151306733289
BaseRepresentation
bin100000010011100010100…
…1110011110001110100000
3120201110102221100212101200
41000213011032132032200
51040221120042402034
613235413522001200
7635531406223422
oct100470516361640
916643387325350
104440010122144
111461aa7a65a13
125b86064a6200
132628ca62165c
14114c7d186812
157a7651d9a99
hex409c539e3a0

4440010122144 has 144 divisors (see below), whose sum is σ = 12714422535360. Its totient is φ = 1469678515200.

The previous prime is 4440010122013. The next prime is 4440010122167. The reversal of 4440010122144 is 4412210100444.

It is a happy number.

4440010122144 is a `hidden beast` number, since 4 + 440 + 0 + 1 + 0 + 1 + 2 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 133361052 + ... + 133394340.

It is an arithmetic number, because the mean of its divisors is an integer number (88294600940).

Almost surely, 24440010122144 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 4440010122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357211267680).

4440010122144 is an abundant number, since it is smaller than the sum of its proper divisors (8274412413216).

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

4440010122144 is a wasteful number, since it uses less digits than its factorization.

4440010122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36523 (or 36512 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4440010122144 its reverse (4412210100444), we get a palindrome (8852220222588).

The spelling of 4440010122144 in words is "four trillion, four hundred forty billion, ten million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3067 3624 4832 5436 6134 7248 9201 10872 12268 14496 18402 21744 24536 27603 33289 36804 43488 49072 55206 66578 73608 98144 99867 110412 133156 147216 199734 220824 266312 294432 299601 399468 441648 463117 532624 599202 798936 883296 926234 1065248 1198404 1389351 1597872 1852468 2396808 2778702 3195744 3704936 4168053 4793616 5026639 5557404 7409872 8336106 9587232 10053278 11114808 14819744 15079917 16672212 20106556 22229616 30159834 33344424 40213112 44459232 45239751 60319668 66688848 80426224 90479502 102097363 120639336 133377696 160852448 180959004 204194726 241278672 306292089 361918008 408389452 482557344 612584178 723836016 816778904 918876267 1225168356 1447672032 1633557808 1837752534 2450336712 3267115616 3675505068 4900673424 7351010136 9801346848 14702020272 15416701813 29404040544 30833403626 46250105439 61666807252 92500210878 123333614504 138750316317 185000421756 246667229008 277500632634 370000843512 493334458016 555001265268 740001687024 1110002530536 1480003374048 2220005061072 4440010122144