Search a number
-
+
57714342914280 = 233513228171621439
BaseRepresentation
bin11010001111101101010101…
…11010000110100011101000
321120100102210210100011210110
431013312222322012203220
530031042433241224110
6322425334134414320
715104503135316433
oct1507665272064350
9246312723304713
1057714342914280
1117431573a68898
1265815148013a0
132628592b6c360
1410375639a281a
156a14386d3a20
hex347daae868e8

57714342914280 has 128 divisors (see below), whose sum is σ = 186470010316800. Its totient is φ = 14205976092672.

The previous prime is 57714342914269. The next prime is 57714342914297. The reversal of 57714342914280 is 8241924341775.

57714342914280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57714342914280.

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, 34783801 + ... + 36405239.

It is an arithmetic number, because the mean of its divisors is an integer number (1456796955600).

Almost surely, 257714342914280 is an apocalyptic number.

It is an amenable number.

57714342914280 is an abundant number, since it is smaller than the sum of its proper divisors (128755667402520).

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

57714342914280 is a wasteful number, since it uses less digits than its factorization.

57714342914280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644283 (or 1644279 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 57714342914280 in words is "fifty-seven trillion, seven hundred fourteen billion, three hundred forty-two million, nine hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 22817 45634 68451 91268 114085 136902 182536 228170 273804 296621 342255 456340 547608 593242 684510 889863 912680 1186484 1369020 1483105 1621439 1779726 2372968 2738040 2966210 3242878 3559452 4449315 4864317 5932420 6485756 7118904 8107195 8898630 9728634 11864840 12971512 16214390 17797260 19457268 21078707 24321585 32428780 35594520 38914536 42157414 48643170 63236121 64857560 84314828 97286340 105393535 126472242 168629656 194572680 210787070 252944484 316180605 421574140 505888968 632361210 843148280 1264722420 2529444840 36996373663 73992747326 110989120989 147985494652 184981868315 221978241978 295970989304 369963736630 443956483956 480952857619 554945604945 739927473260 887912967912 961905715238 1109891209890 1442858572857 1479854946520 1923811430476 2219782419780 2404764288095 2885717145714 3847622860952 4439564839560 4809528576190 5771434291428 7214292864285 9619057152380 11542868582856 14428585728570 19238114304760 28857171457140 57714342914280