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444110020414232 = 231773139683471187
BaseRepresentation
bin110010011111010100110110…
…0000000100000101100011000
32011020110111120220200221211012
41210332221230000200230120
5431202244310211223412
64212313154332353052
7162354614213055404
oct14476515400405430
92136414526627735
10444110020414232
11119564002665a07
12419875b7315788
13160a651a407963
147b9507ac3c104
1536524c2ad1c22
hex193ea6c020b18

444110020414232 has 128 divisors (see below), whose sum is σ = 901516838342400. Its totient is φ = 204347020382208.

The previous prime is 444110020414201. The next prime is 444110020414387. The reversal of 444110020414232 is 232414020011444.

It is a congruent number.

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, 942298943 + ... + 942770129.

It is an arithmetic number, because the mean of its divisors is an integer number (7043100299550).

Almost surely, 2444110020414232 is an apocalyptic number.

It is an amenable number.

444110020414232 is an abundant number, since it is smaller than the sum of its proper divisors (457406817928168).

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

444110020414232 is a wasteful number, since it uses less digits than its factorization.

444110020414232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472105 (or 472101 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444110020414232 its reverse (232414020011444), we get a palindrome (676524040425676).

The spelling of 444110020414232 in words is "four hundred forty-four trillion, one hundred ten billion, twenty million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 17 34 68 73 136 139 146 278 292 556 584 683 1112 1241 1366 2363 2482 2732 4726 4964 5464 9452 9928 10147 11611 18904 20294 23222 40588 46444 49859 81176 92888 94937 99718 172499 189874 199436 344998 379748 398872 471187 689996 759496 847603 942374 1379992 1613929 1695206 1884748 3227858 3390412 3769496 6455716 6780824 6930401 8010179 12911432 13860802 16020358 27721604 32040716 34396651 55443208 64081432 65494993 68793302 117816817 130989986 137586604 235633634 261979972 275173208 321820721 471267268 523959944 584743067 643641442 942534536 1113414881 1169486134 1287282884 2226829762 2338972268 2574565768 4453659524 4677944536 4781134489 5470952257 8907319048 9562268978 10941904514 19124537956 21883809028 23492912633 38249075912 43767618056 44733080219 46985825266 81279286313 89466160438 93971650532 162558572626 178932320876 187943301064 325117145252 357864641752 399379514761 650234290504 760462363723 798759029522 1520924727446 1597518059044 3041849454892 3195036118088 3265514855987 6083698909784 6531029711974 13062059423948 26124118847896 55513752551779 111027505103558 222055010207116 444110020414232