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244323021420 = 2232567190110657
BaseRepresentation
bin1110001110001011001…
…0010111001001101100
3212100122021212110112100
43203202302113021230
513000333143141140
6304123534135100
723436360262542
oct3434262271154
9770567773470
10244323021420
1194686a81215
123b427351490
131a068bc167a
14bb7a889d92
15654e73b530
hex38e2c9726c

244323021420 has 144 divisors (see below), whose sum is σ = 752640846048. Its totient is φ = 64140595200.

The previous prime is 244323021419. The next prime is 244323021457. The reversal of 244323021420 is 24120323442.

244323021420 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 230 + 2 + 1 + 420 = 666.

244323021420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 22920732 + ... + 22931388.

It is an arithmetic number, because the mean of its divisors is an integer number (5226672542).

Almost surely, 2244323021420 is an apocalyptic number.

244323021420 is a gapful number since it is divisible by the number (20) 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 244323021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376320423024).

244323021420 is an abundant number, since it is smaller than the sum of its proper divisors (508317824628).

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

244323021420 is a wasteful number, since it uses less digits than its factorization.

244323021420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 244323021420 its reverse (24120323442), we get a palindrome (268443344862).

The spelling of 244323021420 in words is "two hundred forty-four billion, three hundred twenty-three million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 1901 2010 2412 3015 3802 4020 5703 6030 7604 9505 10657 11406 12060 17109 19010 21314 22812 28515 31971 34218 38020 42628 53285 57030 63942 68436 85545 95913 106570 114060 127367 127884 159855 171090 191826 213140 254734 319710 342180 382101 383652 479565 509468 636835 639420 714019 764202 959130 1146303 1273670 1428038 1528404 1910505 1918260 2142057 2292606 2547340 2856076 3570095 3821010 4284114 4585212 5731515 6426171 7140190 7642020 8568228 10710285 11463030 12852342 14280380 20258957 21420570 22926060 25704684 32130855 40517914 42841140 60776871 64261710 81035828 101294785 121553742 128523420 182330613 202589570 243107484 303884355 364661226 405179140 607768710 729322452 911653065 1215537420 1357350119 1823306130 2714700238 3646612260 4072050357 5429400476 6786750595 8144100714 12216151071 13573501190 16288201428 20360251785 24432302142 27147002380 40720503570 48864604284 61080755355 81441007140 122161510710 244323021420