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244120421040 = 24355331096173
BaseRepresentation
bin1110001101011010110…
…1100000001010110000
3212100010011122022001120
43203112231200022300
512444424311433130
6304051455502240
723431350225066
oct3432655401260
9770104568046
10244120421040
1194592682591
123b38b527980
131a035c368a2
14bb5b9cc036
15653ba6b910
hex38d6b602b0

244120421040 has 160 divisors (see below), whose sum is σ = 771425000640. Its totient is φ = 63839612928.

The previous prime is 244120421033. The next prime is 244120421059. The reversal of 244120421040 is 40124021442.

It is a super-3 number, since 3×2441204210403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 244120421040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39543394 + ... + 39549566.

It is an arithmetic number, because the mean of its divisors is an integer number (4821406254).

Almost surely, 2244120421040 is an apocalyptic number.

244120421040 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 244120421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385712500320).

244120421040 is an abundant number, since it is smaller than the sum of its proper divisors (527304579600).

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

244120421040 is a wasteful number, since it uses less digits than its factorization.

244120421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9351 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 244120421040 its reverse (40124021442), we get a palindrome (284244442482).

The spelling of 244120421040 in words is "two hundred forty-four billion, one hundred twenty million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3109 3180 4240 6173 6218 6360 9327 12346 12436 12720 15545 18519 18654 24692 24872 30865 31090 37038 37308 46635 49384 49744 61730 62180 74076 74616 92595 93270 98768 123460 124360 148152 149232 164777 185190 186540 246920 248720 296304 327169 329554 370380 373080 493840 494331 654338 659108 740760 746160 823885 981507 988662 1308676 1318216 1481520 1635845 1647770 1963014 1977324 2471655 2617352 2636432 3271690 3295540 3926028 3954648 4907535 4943310 5234704 6543380 6591080 7852056 7909296 9815070 9886620 13086760 13182160 15704112 19191857 19630140 19773240 26173520 38383714 39260280 39546480 57575571 76767428 78520560 95959285 115151142 153534856 191918570 230302284 287877855 307069712 383837140 460604568 575755710 767674280 921209136 1017168421 1151511420 1535348560 2034336842 2303022840 3051505263 4068673684 4606045680 5085842105 6103010526 8137347368 10171684210 12206021052 15257526315 16274694736 20343368420 24412042104 30515052630 40686736840 48824084208 61030105260 81373473680 122060210520 244120421040