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4244421132024 = 2331916378772559
BaseRepresentation
bin111101110000111011001…
…101101011111011111000
3120000202121000011200220120
4331300323031223323320
51024020033302211044
613005505443053240
7615435466231503
oct75607315537370
916022530150816
104244421132024
11139705a093827
12586720071220
1324a32a11b8c8
14109606c4813a
1575619126519
hex3dc3b36bef8

4244421132024 has 128 divisors (see below), whose sum is σ = 11252488704000. Its totient is φ = 1330409556864.

The previous prime is 4244421132019. The next prime is 4244421132097. The reversal of 4244421132024 is 4202311244424.

It is a super-2 number, since 2×42444211320242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58459857 + ... + 58532415.

It is an arithmetic number, because the mean of its divisors is an integer number (87910068000).

Almost surely, 24244421132024 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 4244421132024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626244352000).

4244421132024 is an abundant number, since it is smaller than the sum of its proper divisors (7008067571976).

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

4244421132024 is a wasteful number, since it uses less digits than its factorization.

4244421132024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73537 (or 73533 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4244421132024 its reverse (4202311244424), we get a palindrome (8446732376448).

The spelling of 4244421132024 in words is "four trillion, two hundred forty-four billion, four hundred twenty-one million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 163 228 326 456 489 652 787 978 1304 1574 1956 2361 3097 3148 3912 4722 6194 6296 9291 9444 12388 14953 18582 18888 24776 29906 37164 44859 59812 72559 74328 89718 119624 128281 145118 179436 217677 256562 290236 358872 384843 435354 513124 580472 769686 870708 1026248 1378621 1539372 1741416 2437339 2757242 3078744 4135863 4874678 5514484 7312017 8271726 9749356 11028968 11827117 14624034 16543452 19498712 23654234 29248068 33086904 35481351 47308468 57103933 58496136 70962702 94616936 114207866 141925404 171311799 224715223 228415732 283850808 342623598 449430446 456831464 674145669 685247196 898860892 1084974727 1348291338 1370494392 1797721784 2169949454 2696582676 3254924181 4339898908 5393165352 6509848362 8679797816 9307941079 13019696724 18615882158 26039393448 27923823237 37231764316 55847646474 74463528632 111695292948 176850880501 223390585896 353701761002 530552641503 707403522004 1061105283006 1414807044008 2122210566012 4244421132024