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244012433424 = 243107277171517
BaseRepresentation
bin1110001101000001000…
…1100100000000010000
3212022211122102221220020
43203100101210000100
512444214140332144
6304033041143440
723425566314304
oct3432021440020
9768748387806
10244012433424
1194537725921
123b35b32ab80
131a0197574a6
14bb4b51bd04
15653233a419
hex38d0464010

244012433424 has 80 divisors (see below), whose sum is σ = 638557397568. Its totient is φ = 80285953536.

The previous prime is 244012433377. The next prime is 244012433429. The reversal of 244012433424 is 424334210442.

It is not an unprimeable number, because it can be changed into a prime (244012433429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336914 + ... + 1508430.

Almost surely, 2244012433424 is an apocalyptic number.

244012433424 is a gapful number since it is divisible by the number (24) 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 244012433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319278698784).

244012433424 is an abundant number, since it is smaller than the sum of its proper divisors (394544964144).

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

244012433424 is a wasteful number, since it uses less digits than its factorization.

244012433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171912 (or 171906 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 244012433424 its reverse (424334210442), we get a palindrome (668346643866).

The spelling of 244012433424 in words is "two hundred forty-four billion, twelve million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 277 321 428 554 642 831 856 1108 1284 1662 1712 2216 2568 3324 4432 5136 6648 13296 29639 59278 88917 118556 171517 177834 237112 343034 355668 474224 514551 686068 711336 1029102 1372136 1422672 2058204 2744272 4116408 8232816 18352319 36704638 47510209 55056957 73409276 95020418 110113914 142530627 146818552 190040836 220227828 285061254 293637104 380081672 440455656 570122508 760163344 880911312 1140245016 2280490032 5083592363 10167184726 15250777089 20334369452 30501554178 40668738904 61003108356 81337477808 122006216712 244012433424