Search a number
-
+
242666980483984 = 247283267032
BaseRepresentation
bin110111001011010001001111…
…001010111010001110010000
31011211012201220002212002221021
4313023101033022322032100
5223301323434000441414
62220035401041205224
7102054052665426400
oct6713211712721620
91154181802762837
10242666980483984
1170359541193791
12232725a0930814
13a553523737284
1443cd204802800
151d0c4d20bac24
hexdcb44f2ba390

242666980483984 has 135 divisors (see below), whose sum is σ = 553680781714683. Its totient is φ = 102731792296896.

The previous prime is 242666980483973. The next prime is 242666980484021. The reversal of 242666980483984 is 489384089666242.

The square root of 242666980483984 is 15577772.

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

242666980483984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36202738777 + ... + 36202745479.

Almost surely, 2242666980483984 is an apocalyptic number.

242666980483984 is the 15577772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242666980483984

242666980483984 is an abundant number, since it is smaller than the sum of its proper divisors (311013801230699).

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

242666980483984 is an frugal number, since it uses more digits than its factorization.

242666980483984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13594 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 6879707136, while the sum is 79.

The spelling of 242666980483984 in words is "two hundred forty-two trillion, six hundred sixty-six billion, nine hundred eighty million, four hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 112 166 196 332 392 581 664 784 1162 1328 2324 4067 4648 6703 6889 8134 9296 13406 13778 16268 26812 27556 32536 46921 48223 53624 55112 65072 93842 96446 107248 110224 187684 192892 328447 337561 375368 385784 556349 656894 675122 750736 771568 1112698 1313788 1350244 2225396 2627576 2700488 3894443 4450792 5255152 5400976 7788886 8901584 15577772 27261101 31155544 44930209 46176967 54522202 62311088 89860418 92353934 109044404 179720836 184707868 218088808 314511463 323238769 359441672 369415736 436177616 629022926 646477538 718883344 738831472 1258045852 1292955076 2201580241 2262671383 2516091704 2585910152 3729207347 4403160482 4525342766 5032183408 5171820304 7458414694 8806320964 9050685532 14916829388 17612641928 18101371064 26104451429 29833658776 35225283856 36202742128 52208902858 59667317552 104417805716 182731160003 208835611432 309524209801 365462320006 417671222864 619048419602 730924640012 1238096839204 1461849280024 2166669468607 2476193678408 2923698560048 4333338937214 4952387356816 8666677874428 15166686280249 17333355748856 30333372560498 34666711497712 60666745120996 121333490241992 242666980483984