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44255351341124 = 227113114127111949
BaseRepresentation
bin10100001000000000000000…
…11111110000000001000100
312210200202210112012212100022
422010000000133300001010
521300034424420403444
6234042343331434312
712215225601455210
oct1204000037600104
9183622715185308
1044255351341124
1113112653108760
124b68b97755998
131b90353016401
14acdd82c27940
1551b2b36e89ee
hex2840007f0044

44255351341124 has 96 divisors (see below), whose sum is σ = 96891940454400. Its totient is φ = 17182585065600.

The previous prime is 44255351341039. The next prime is 44255351341141. The reversal of 44255351341124 is 42114315355244.

It is a super-2 number, since 2×442553513411242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 395261102 + ... + 395373050.

It is an arithmetic number, because the mean of its divisors is an integer number (1009291046400).

Almost surely, 244255351341124 is an apocalyptic number.

44255351341124 is a gapful number since it is divisible by the number (44) 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 44255351341124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48445970227200).

44255351341124 is an abundant number, since it is smaller than the sum of its proper divisors (52636589113276).

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

44255351341124 is a wasteful number, since it uses less digits than its factorization.

44255351341124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116409 (or 116407 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 44.

Adding to 44255351341124 its reverse (42114315355244), we get a palindrome (86369666696368).

The spelling of 44255351341124 in words is "forty-four trillion, two hundred fifty-five billion, three hundred fifty-one million, three hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 311 622 1244 2177 3421 4127 4354 6842 8254 8708 13684 16508 23947 28889 45397 47894 57778 90794 95788 111949 115556 181588 223898 317779 447796 635558 783643 1231439 1271116 1283497 1567286 2462878 2566994 3134572 4925756 5133988 8620073 8984479 14118467 17240146 17968958 28236934 34480292 34816139 35937916 56473868 69632278 98829269 139264556 197658538 243712973 382977529 395317076 462013523 487425946 765955058 924027046 974851892 1531910116 1848054092 2680842703 3234094661 5082148753 5361685406 6468189322 10164297506 10723370812 12936378644 20328595012 35575041271 71150082542 142300165084 143686205653 287372411306 574744822612 1005803439571 1580548262183 2011606879142 3161096524366 4023213758284 6322193048732 11063837835281 22127675670562 44255351341124