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244154021424 = 24367217934841
BaseRepresentation
bin1110001101100010110…
…1101011011000110000
3212100012111212101010020
43203120231223120300
513000011412141144
6304055100003440
723432235640305
oct3433055533060
9770174771106
10244154021424
11945aa641aa5
123b39a830580
131a03cb9c581
14bb622570ac
15653e9a7419
hex38d8b6b630

244154021424 has 80 divisors (see below), whose sum is σ = 640457281920. Its totient is φ = 80130885120.

The previous prime is 244154021393. The next prime is 244154021431. The reversal of 244154021424 is 424120451442.

244154021424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2441540214242 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6990244 + ... + 7025084.

It is an arithmetic number, because the mean of its divisors is an integer number (8005716024).

Almost surely, 2244154021424 is an apocalyptic number.

244154021424 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 244154021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320228640960).

244154021424 is an abundant number, since it is smaller than the sum of its proper divisors (396303260496).

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

244154021424 is a wasteful number, since it uses less digits than its factorization.

244154021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37098 (or 37092 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 244154021424 its reverse (424120451442), we get a palindrome (668274472866).

The spelling of 244154021424 in words is "two hundred forty-four billion, one hundred fifty-four million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 2179 3216 4358 6537 8716 13074 17432 26148 34841 34864 52296 69682 104523 104592 139364 145993 209046 278728 291986 418092 437979 557456 583972 836184 875958 1167944 1672368 1751916 2334347 2335888 3503832 4668694 7003041 7007664 9337388 14006082 18674776 28012164 37349552 56024328 75918539 112048656 151837078 227755617 303674156 455511234 607348312 911022468 1214696624 1822044936 3644089872 5086542113 10173084226 15259626339 20346168452 30519252678 40692336904 61038505356 81384673808 122077010712 244154021424