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4144203132 = 22331113311317
BaseRepresentation
bin1111011100000011…
…1000010101111100
3101200211001022221220
43313000320111330
531441404000012
61523120353340
7204461100606
oct36700702574
911624038856
104144203132
111837327173
12977a75850
13510770c04
142b4570176
15193c5c08c
hexf703857c

4144203132 has 96 divisors (see below), whose sum is σ = 10134319104. Its totient is φ = 1316582400.

The previous prime is 4144203121. The next prime is 4144203149. The reversal of 4144203132 is 2313024414.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 13073038 + ... + 13073354.

It is an arithmetic number, because the mean of its divisors is an integer number (105565824).

Almost surely, 24144203132 is an apocalyptic number.

It is an amenable number.

4144203132 is an abundant number, since it is smaller than the sum of its proper divisors (5990115972).

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

4144203132 is a wasteful number, since it uses less digits than its factorization.

4144203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4144203132 is about 64375.4854894315. The cubic root of 4144203132 is about 1606.2519880630.

Adding to 4144203132 its reverse (2313024414), we get a palindrome (6457227546).

The spelling of 4144203132 in words is "four billion, one hundred forty-four million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 113 124 186 226 311 317 339 372 452 622 634 678 933 951 1244 1268 1356 1866 1902 3503 3732 3804 7006 9641 9827 10509 14012 19282 19654 21018 28923 29481 35143 35821 38564 39308 42036 57846 58962 70286 71642 98587 105429 107463 115692 117924 140572 143284 197174 210858 214926 295761 394348 421716 429852 591522 1089433 1110451 1183044 2178866 2220902 3056197 3268299 3331353 4357732 4441804 6112394 6536598 6662706 9168591 11140331 12224788 13073196 13325412 18337182 22280662 33420993 36674364 44561324 66841986 133683972 345350261 690700522 1036050783 1381401044 2072101566 4144203132