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123244321440 = 2535887289469
BaseRepresentation
bin111001011000111101…
…1110001101010100000
3102210010002221012211210
41302301323301222200
54004401021241230
6132341225310120
711622052306332
oct1626173615240
9383102835753
10123244321440
11482a422a909
121ba76335340
13b8113a36b6
145d7218b452
153314c0aeb0
hex1cb1ef1aa0

123244321440 has 96 divisors (see below), whose sum is σ = 388658632320. Its totient is φ = 32827986944.

The previous prime is 123244321397. The next prime is 123244321471. The reversal of 123244321440 is 44123442321.

123244321440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123244321398 and 123244321407.

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, 281026 + ... + 570494.

It is an arithmetic number, because the mean of its divisors is an integer number (4048527420).

Almost surely, 2123244321440 is an apocalyptic number.

123244321440 is a gapful number since it is divisible by the number (10) 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 123244321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194329316160).

123244321440 is an abundant number, since it is smaller than the sum of its proper divisors (265414310880).

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

123244321440 is a wasteful number, since it uses less digits than its factorization.

123244321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290374 (or 290366 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 123244321440 its reverse (44123442321), we get a palindrome (167367763761).

The spelling of 123244321440 in words is "one hundred twenty-three billion, two hundred forty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 887 1774 2661 3548 4435 5322 7096 8870 10644 13305 14192 17740 21288 26610 28384 35480 42576 53220 70960 85152 106440 141920 212880 289469 425760 578938 868407 1157876 1447345 1736814 2315752 2894690 3473628 4342035 4631504 5789380 6947256 8684070 9263008 11578760 13894512 17368140 23157520 27789024 34736280 46315040 69472560 138945120 256759003 513518006 770277009 1027036012 1283795015 1540554018 2054072024 2567590030 3081108036 3851385045 4108144048 5135180060 6162216072 7702770090 8216288096 10270360120 12324432144 15405540180 20540720240 24648864288 30811080360 41081440480 61622160720 123244321440