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128638430244 = 22322341132
BaseRepresentation
bin111011111001101110…
…0101010110000100100
3110022001000220100001100
41313303130222300210
54101422414231434
6135032400000100
712202531421142
oct1676334526044
9408030810040
10128638430244
114a612049675
1220b20900030
13c190a9025c
14632471c592
15352d560699
hex1df372ac24

128638430244 has 135 divisors (see below), whose sum is σ = 342984766033. Its totient is φ = 40652185728.

The previous prime is 128638430237. The next prime is 128638430299. The reversal of 128638430244 is 442034836821.

It is a happy number.

The square root of 128638430244 is 358662.

It is a perfect power (a square), and thus also a powerful number.

128638430244 is a `hidden beast` number, since 1 + 2 + 8 + 638 + 4 + 3 + 0 + 2 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2266712100 + 126371718144 = 47610^2 + 355488^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128638430244.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1138393132 + ... + 1138393244.

Almost surely, 2128638430244 is an apocalyptic number.

128638430244 is the 358662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128638430244

128638430244 is an abundant number, since it is smaller than the sum of its proper divisors (214346335789).

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

128638430244 is an frugal number, since it uses more digits than its factorization.

128638430244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 128638430244 in words is "one hundred twenty-eight billion, six hundred thirty-eight million, four hundred thirty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 113 138 207 226 276 339 414 452 529 678 828 1017 1058 1356 1587 2034 2116 2599 3174 4068 4761 5198 6348 7797 9522 10396 12167 12769 15594 19044 23391 24334 25538 31188 36501 38307 46782 48668 51076 59777 73002 76614 93564 109503 114921 119554 146004 153228 179331 219006 229842 239108 279841 293687 358662 438012 459684 537993 559682 587374 717324 839523 881061 1075986 1119364 1174748 1374871 1679046 1762122 2151972 2518569 2643183 2749742 3358092 3524244 4124613 5037138 5286366 5499484 6754801 8249226 10074276 10572732 12373839 13509602 16498452 20264403 24747678 27019204 31622033 40528806 49495356 60793209 63244066 81057612 94866099 121586418 126488132 155360423 189732198 243172836 284598297 310720846 379464396 466081269 569196594 621441692 932162538 1138393188 1398243807 1864325076 2796487614 3573289729 5592975228 7146579458 10719869187 14293158916 21439738374 32159607561 42879476748 64319215122 128638430244