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1244241123144 = 233316732177759
BaseRepresentation
bin10010000110110010100…
…011001101011101001000
311101221121022012000200220
4102012302203031131020
5130341201211420034
62351332501230040
7155615312021235
oct22066243153510
94357538160626
101244241123144
1143a752749788
12181185a02320
1390440213a96
144431609478c
1522573bc6749
hex121b28cd748

1244241123144 has 128 divisors (see below), whose sum is σ = 3260302540800. Its totient is φ = 395203691520.

The previous prime is 1244241123101. The next prime is 1244241123247. The reversal of 1244241123144 is 4413211424421.

It is a nude number because it is divisible by every one of its digits.

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, 160357137 + ... + 160364895.

It is an arithmetic number, because the mean of its divisors is an integer number (25471113600).

Almost surely, 21244241123144 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 1244241123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630151270400).

1244241123144 is an abundant number, since it is smaller than the sum of its proper divisors (2016061417656).

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

1244241123144 is a wasteful number, since it uses less digits than its factorization.

1244241123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11079 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 1244241123144 its reverse (4413211424421), we get a palindrome (5657452547565).

The spelling of 1244241123144 in words is "one trillion, two hundred forty-four billion, two hundred forty-one million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 93 124 134 186 201 248 268 372 402 536 744 804 1608 2077 3217 4154 6231 6434 7759 8308 9651 12462 12868 15518 16616 19302 23277 24924 25736 31036 38604 46554 49848 62072 77208 93108 99727 186216 199454 215539 240529 299181 398908 431078 481058 519853 598362 646617 721587 797816 862156 962116 1039706 1196724 1293234 1443174 1559559 1724312 1924232 2079412 2393448 2586468 2886348 3119118 4158824 5172936 5772696 6238236 6681709 12476472 13363418 16115443 20045127 24960703 26726836 32230886 40090254 48346329 49921406 53453672 64461772 74882109 80180508 96692658 99842812 128923544 149764218 160361016 193385316 199685624 299528436 386770632 599056872 773781793 1547563586 1672367101 2321345379 3095127172 3344734202 4642690758 5017101303 6190254344 6689468404 9285381516 10034202606 13378936808 18570763032 20068405212 40136810424 51843380131 103686760262 155530140393 207373520524 311060280786 414747041048 622120561572 1244241123144