Search a number
-
+
441490610925 = 3252713132716249
BaseRepresentation
bin1100110110010101110…
…01000001101011101101
31120012120020110210021100
412123022321001223231
524213133044022200
6534452403553313
743616356163160
oct6331271015355
91505506423240
10441490610925
11160264a384a1
127169238b839
133282b4763b0
141752270bad7
15b73e1c2d00
hex66cae41aed

441490610925 has 144 divisors (see below), whose sum is σ = 974034880000. Its totient is φ = 186147486720.

The previous prime is 441490610903. The next prime is 441490610969. The reversal of 441490610925 is 529016094144.

441490610925 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 9 + 0 + 610 + 9 + 25 = 666.

It is not a de Polignac number, because 441490610925 - 213 = 441490602733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27162201 + ... + 27178449.

Almost surely, 2441490610925 is an apocalyptic number.

441490610925 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441490610925 is an abundant number, since it is smaller than the sum of its proper divisors (532544269075).

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

441490610925 is a wasteful number, since it uses less digits than its factorization.

441490610925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17612 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 441490610925 in words is "four hundred forty-one billion, four hundred ninety million, six hundred ten thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 819 975 1327 1365 1575 2275 2925 3981 4095 6635 6825 9289 11943 16249 17251 19905 20475 27867 33175 46445 48747 51753 59715 81245 83601 86255 99525 113743 120757 139335 146241 155259 211237 232225 243735 258765 298575 341229 362271 406225 418005 431275 568715 603785 633711 696675 731205 776295 1023687 1056185 1086813 1218675 1293825 1478659 1706145 1811355 1901133 2090025 2843575 3018925 3168555 3656025 3881475 4435977 5118435 5280925 5434065 7393295 8530725 9056775 9505665 13307931 15842775 21562423 22179885 25592175 27170325 36966475 47528325 64687269 66539655 107812115 110899425 150936961 194061807 280311499 323436345 332698275 452810883 539060575 754684805 840934497 970309035 1358432649 1401557495 1617181725 1962180493 2264054415 2522803491 3773424025 4204672485 4851545175 5886541479 6792163245 7007787475 9810902465 11320272075 12614017455 17659624437 21023362425 29432707395 33960816225 49054512325 63070087275 88298122185 147163536975 441490610925