Search a number
-
+
355423424544 = 25326738947351
BaseRepresentation
bin1010010110000001110…
…00110001000000100000
31020222102001212201012200
411023000320301000200
521310401344041134
6431140153253200
734451503155426
oct5130070610040
91228361781180
10355423424544
111278092914a1
1258a72704200
1327693380886
14132b9c75116
1593a3249499
hex52c0e31020

355423424544 has 144 divisors (see below), whose sum is σ = 1028479757760. Its totient is φ = 116403724800.

The previous prime is 355423424519. The next prime is 355423424647. The reversal of 355423424544 is 445424324553.

355423424544 is a `hidden beast` number, since 3 + 5 + 54 + 2 + 34 + 24 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 355423424544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7482469 + ... + 7529819.

It is an arithmetic number, because the mean of its divisors is an integer number (7142220540).

Almost surely, 2355423424544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355423424544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514239878880).

355423424544 is an abundant number, since it is smaller than the sum of its proper divisors (673056333216).

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

355423424544 is a wasteful number, since it uses less digits than its factorization.

355423424544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47823 (or 47812 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 45.

Subtracting 355423424544 from its reverse (445424324553), we obtain a palindrome (90000900009).

The spelling of 355423424544 in words is "three hundred fifty-five billion, four hundred twenty-three million, four hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 389 402 536 603 778 804 1072 1167 1206 1556 1608 2144 2334 2412 3112 3216 3501 4668 4824 6224 6432 7002 9336 9648 12448 14004 18672 19296 26063 28008 37344 47351 52126 56016 78189 94702 104252 112032 142053 156378 189404 208504 234567 284106 312756 378808 417008 426159 469134 568212 625512 757616 834016 852318 938268 1136424 1251024 1515232 1704636 1876536 2272848 2502048 3172517 3409272 3753072 4545696 6345034 6818544 7506144 9517551 12690068 13637088 18419539 19035102 25380136 28552653 36839078 38070204 50760272 55258617 57105306 73678156 76140408 101520544 110517234 114210612 147356312 152280816 165775851 221034468 228421224 294712624 304561632 331551702 442068936 456842448 589425248 663103404 884137872 913684896 1234109113 1326206808 1768275744 2468218226 2652413616 3702327339 4936436452 5304827232 7404654678 9872872904 11106982017 14809309356 19745745808 22213964034 29618618712 39491491616 44427928068 59237237424 88855856136 118474474848 177711712272 355423424544