Search a number
-
+
570223441044 = 22321011094613121
BaseRepresentation
bin10000100110000111111…
…01110011010010010100
32000111211212000010121100
420103003331303102110
533320304200103134
61113542415150100
756124445163535
oct10230375632224
92014755003540
10570223441044
111aa9152a3094
129261a815330
1341a0596915a
141d8557a068c
15ec75b7d999
hex84c3f73494

570223441044 has 144 divisors (see below), whose sum is σ = 1472682491280. Its totient is φ = 186001920000.

The previous prime is 570223441031. The next prime is 570223441049. The reversal of 570223441044 is 440144322075.

570223441044 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 234 + 410 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3422250000 + 566801191044 = 58500^2 + 752862^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (570223441049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182703804 + ... + 182706924.

It is an arithmetic number, because the mean of its divisors is an integer number (10226961745).

Almost surely, 2570223441044 is an apocalyptic number.

It is an amenable number.

570223441044 is an abundant number, since it is smaller than the sum of its proper divisors (902459050236).

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

570223441044 is a wasteful number, since it uses less digits than its factorization.

570223441044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 570223441044 in words is "five hundred seventy billion, two hundred twenty-three million, four hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 109 202 218 303 327 404 436 461 606 654 909 922 981 1212 1308 1383 1818 1844 1962 2766 3121 3636 3924 4149 5532 6242 8298 9363 11009 12484 16596 18726 22018 28089 33027 37452 44036 46561 50249 56178 66054 93122 99081 100498 112356 132108 139683 150747 186244 198162 200996 279366 301494 315221 340189 396324 419049 452241 558732 602988 630442 680378 838098 904482 945663 1020567 1260884 1360756 1438781 1676196 1808964 1891326 2041134 2836989 2877562 3061701 3782652 4082268 4316343 5075149 5673978 5755124 6123402 8632686 10150298 11347956 12246804 12949029 15225447 17265372 20300596 25898058 30450894 34359089 45676341 51796116 60901788 68718178 91352682 103077267 137436356 145316881 156827129 182705364 206154534 290633762 309231801 313654258 412309068 435950643 470481387 581267524 618463602 627308516 871901286 940962774 1236927204 1307851929 1411444161 1743802572 1881925548 2615703858 2822888322 5231407716 5645776644 15839540029 31679080058 47518620087 63358160116 95037240174 142555860261 190074480348 285111720522 570223441044