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2144332323320 = 2351153439209459
BaseRepresentation
bin11111001101000100001…
…010101001100111111000
321120222220012120120001112
4133031010022221213320
5240113043033321240
64321032003335452
7310631361003425
oct37150412514770
97528805516045
102144332323320
1175745176a620
122a7704681588
13127295852195
1475b0161ad4c
153aba421a665
hex1f3442a99f8

2144332323320 has 128 divisors (see below), whose sum is σ = 5374911168000. Its totient is φ = 763298465280.

The previous prime is 2144332323311. The next prime is 2144332323359. The reversal of 2144332323320 is 233232334412.

It is a happy number.

It is a super-2 number, since 2×21443323233202 (a number of 25 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, 10132751 + ... + 10342209.

It is an arithmetic number, because the mean of its divisors is an integer number (41991493500).

Almost surely, 22144332323320 is an apocalyptic number.

2144332323320 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 2144332323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687455584000).

2144332323320 is an abundant number, since it is smaller than the sum of its proper divisors (3230578844680).

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

2144332323320 is a wasteful number, since it uses less digits than its factorization.

2144332323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209973 (or 209969 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 2144332323320 its reverse (233232334412), we get a palindrome (2377564657732).

The spelling of 2144332323320 in words is "two trillion, one hundred forty-four billion, three hundred thirty-two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 439 440 530 583 878 1060 1166 1756 2120 2195 2332 2915 3512 4390 4664 4829 5830 8780 9658 11660 17560 19316 23267 23320 24145 38632 46534 48290 93068 96580 116335 186136 193160 209459 232670 255937 418918 465340 511874 837836 930680 1023748 1047295 1279685 1675672 2047496 2094590 2304049 2559370 4189180 4608098 5118740 8378360 9216196 10237480 11101327 11520245 18432392 22202654 23040490 44405308 46080980 55506635 88810616 91952501 92161960 111013270 122114597 183905002 222026540 244229194 367810004 444053080 459762505 488458388 610572985 735620008 919525010 976916776 1011477511 1221145970 1839050020 2022955022 2442291940 3678100040 4045910044 4873482553 4884583880 5057387555 8091820088 9746965106 10114775110 19493930212 20229550220 24367412765 38987860424 40459100440 48734825530 53608308083 97469651060 107216616166 194939302120 214433232332 268041540415 428866464664 536083080830 1072166161660 2144332323320