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4244011432304 = 247173923568187
BaseRepresentation
bin111101110000100010110…
…010110011100101110000
3120000201112110020210112212
4331300202302303211300
51024013213411313204
613005401045511252
7615422362650620
oct75604262634560
916021473223485
104244011432304
1113969698a3316
12586626a12528
1324a293292337
141095a867a880
15755e3198c6e
hex3dc22cb3970

4244011432304 has 80 divisors (see below), whose sum is σ = 9952799194368. Its totient is φ = 1711430777856.

The previous prime is 4244011432303. The next prime is 4244011432343. The reversal of 4244011432304 is 4032341104424.

4244011432304 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 not an unprimeable number, because it can be changed into a prime (4244011432303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7185299 + ... + 7753485.

Almost surely, 24244011432304 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 4244011432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976399597184).

4244011432304 is an abundant number, since it is smaller than the sum of its proper divisors (5708787762064).

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

4244011432304 is a wasteful number, since it uses less digits than its factorization.

4244011432304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572142 (or 572136 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4244011432304 its reverse (4032341104424), we get a palindrome (8276352536728).

The spelling of 4244011432304 in words is "four trillion, two hundred forty-four billion, eleven million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 3923 7846 15692 27461 31384 54922 62768 66691 109844 133382 219688 266764 439376 466837 533528 568187 933674 1067056 1136374 1867348 2272748 3734696 3977309 4545496 7469392 7954618 9090992 9659179 15909236 19318358 31818472 38636716 63636944 67614253 77273432 135228506 154546864 270457012 540914024 1081828048 2228997601 4457995202 8915990404 15602983207 17831980808 31205966414 35663961616 37892959217 62411932828 75785918434 124823865656 151571836868 249647731312 265250714519 303143673736 530501429038 606287347472 1061002858076 2122005716152 4244011432304