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244032031452 = 223112323799221
BaseRepresentation
bin1110001101000101110…
…0010100101011011100
3212022220000022122100010
43203101130110223130
512444234200001302
6304035021203220
723426225020356
oct3432134245334
9768800278303
10244032031452
11945477a1140
123b365a00510
131a020829961
14bb4dd800d6
156533e0c16c
hex38d1714adc

244032031452 has 144 divisors (see below), whose sum is σ = 651138122880. Its totient is φ = 70539638400.

The previous prime is 244032031381. The next prime is 244032031499. The reversal of 244032031452 is 254130230442.

244032031452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 26460202 + ... + 26469422.

It is an arithmetic number, because the mean of its divisors is an integer number (4521792520).

Almost surely, 2244032031452 is an apocalyptic number.

244032031452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244032031452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325569061440).

244032031452 is an abundant number, since it is smaller than the sum of its proper divisors (407106091428).

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

244032031452 is a wasteful number, since it uses less digits than its factorization.

244032031452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 244032031452 its reverse (254130230442), we get a palindrome (498162261894).

The spelling of 244032031452 in words is "two hundred forty-four billion, thirty-two million, thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 379 506 529 758 759 1012 1058 1137 1516 1518 1587 2116 2274 3036 3174 4169 4548 5819 6348 8338 8717 9221 11638 12507 16676 17434 17457 18442 23276 25014 26151 27663 34868 34914 36884 50028 52302 55326 69828 95887 101431 104604 110652 191774 200491 202862 212083 287661 304293 383548 400982 405724 424166 575322 601473 608586 636249 801964 848332 1150644 1202946 1217172 1272498 2205401 2332913 2405892 2544996 3494759 4410802 4665826 4877909 6616203 6989518 6998739 8821604 9331652 9755818 10484277 13232406 13979036 13997478 14633727 19511636 20968554 26464812 27994956 29267454 38442349 41937108 53656999 58534908 76884698 80379457 107313998 115327047 153769396 160758914 160970997 214627996 230654094 241138371 321517828 321941994 461308188 482276742 643883988 884174027 964553484 1768348054 1848727511 2652522081 3536696108 3697455022 5305044162 5546182533 7394910044 10610088324 11092365066 20336002621 22184730132 40672005242 61008007863 81344010484 122016015726 244032031452