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9914072390244 = 223211443372
BaseRepresentation
bin1001000001000100110011…
…0000110101101001100100
31022002202221202021101220100
42100101030300311221210
52244413010012441434
633030243442104100
72042160645614511
oct220211460655144
938082852241810
109914072390244
113182597450000
1211414b694b030
1356bb7bc52419
14263bb502a308
15122d4b38a699
hex9044cc35a64

9914072390244 has 135 divisors (see below), whose sum is σ = 27572815473385. Its totient is φ = 3003571655040.

The previous prime is 9914072390227. The next prime is 9914072390269. The reversal of 9914072390244 is 4420932704199.

The square root of 9914072390244 is 3148662.

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

9914072390244 is a `hidden beast` number, since 9 + 9 + 1 + 4 + 0 + 7 + 2 + 390 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113967008100 + 9800105382144 = 337590^2 + 3130512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2285926444 + ... + 2285930780.

Almost surely, 29914072390244 is an apocalyptic number.

9914072390244 is the 3148662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9914072390244

9914072390244 is an abundant number, since it is smaller than the sum of its proper divisors (17658743083141).

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

9914072390244 is an frugal number, since it uses more digits than its factorization.

9914072390244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9914072390244 in words is "nine trillion, nine hundred fourteen billion, seventy-two million, three hundred ninety thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1331 1452 2178 2662 3993 4337 4356 5324 7986 8674 11979 13011 14641 15972 17348 23958 26022 29282 39033 43923 47707 47916 52044 58564 78066 87846 95414 131769 143121 156132 175692 190828 263538 286242 429363 524777 527076 572484 858726 1049554 1574331 1717452 2099108 3148662 4722993 5772547 6297324 9445986 11545094 17317641 18809569 18891972 23090188 34635282 37619138 51952923 56428707 63498017 69270564 75238276 103905846 112857414 126996034 169286121 190494051 206905259 207811692 225714828 253992068 338572242 380988102 413810518 571482153 620715777 677144484 761976204 827621036 1142964306 1241431554 1862147331 2275957849 2285928612 2482863108 3724294662 4551915698 6827873547 7448589324 9103831396 13655747094 20483620641 25035536339 27311494188 40967241282 50071072678 75106609017 81934482564 100142145356 150213218034 225319827051 275390899729 300426436068 450639654102 550781799458 826172699187 901279308204 1101563598916 1652345398374 2478518097561 3304690796748 4957036195122 9914072390244