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44202042144 = 253513437263
BaseRepresentation
bin101001001010101001…
…011010001100100000
311020002111221101200000
4221022221122030200
51211011210322034
632150043100000
73123240105351
oct511251321440
9136074841600
1044202042144
111782299a547
128697211600
1342257c4930
1421d46b5d28
15123a86b599
hexa4aa5a320

44202042144 has 144 divisors (see below), whose sum is σ = 140382732672. Its totient is φ = 13600597248.

The previous prime is 44202042133. The next prime is 44202042173. The reversal of 44202042144 is 44124020244.

44202042144 is a `hidden beast` number, since 4 + 420 + 20 + 4 + 214 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 117544 + ... + 319719.

It is an arithmetic number, because the mean of its divisors is an integer number (974880088).

Almost surely, 244202042144 is an apocalyptic number.

It is an amenable number.

44202042144 is an abundant number, since it is smaller than the sum of its proper divisors (96180690528).

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

44202042144 is a wasteful number, since it uses less digits than its factorization.

44202042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437301 (or 437281 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44202042144 its reverse (44124020244), we get a palindrome (88326062388).

The spelling of 44202042144 in words is "forty-four billion, two hundred two million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 25272 33696 50544 101088 437263 874526 1311789 1749052 2623578 3498104 3935367 5247156 5684419 6996208 7870734 10494312 11368838 11806101 13992416 15741468 17053257 20988624 22737676 23612202 31482936 34106514 35418303 41977248 45475352 47224404 51159771 62965872 68213028 70836606 90950704 94448808 102319542 106254909 125931744 136426056 141673212 153479313 181901408 188897616 204639084 212509818 272852112 283346424 306958626 377795232 409278168 425019636 460437939 545704224 566692848 613917252 818556336 850039272 920875878 1133385696 1227834504 1381313817 1637112672 1700078544 1841751756 2455669008 2762627634 3400157088 3683503512 4911338016 5525255268 7367007024 11050510536 14734014048 22101021072 44202042144