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14444010234 = 2343197149199
BaseRepresentation
bin11010111001110111…
…00001101011111010
31101021121221202010000
431130323201223322
5214040131311414
610345133133430
71020636030003
oct153473415372
941247852100
1014444010234
1161422a3745
12297132a276
1314925bc424
149b04561aa
155980dbb09
hex35cee1afa

14444010234 has 160 divisors (see below), whose sum is σ = 34151040000. Its totient is φ = 4557358080.

The previous prime is 14444010223. The next prime is 14444010241. The reversal of 14444010234 is 43201044441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14444010198 and 14444010207.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72582867 + ... + 72583065.

It is an arithmetic number, because the mean of its divisors is an integer number (213444000).

Almost surely, 214444010234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14444010234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520000).

14444010234 is an abundant number, since it is smaller than the sum of its proper divisors (19707029766).

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

14444010234 is a wasteful number, since it uses less digits than its factorization.

14444010234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14444010234 its reverse (43201044441), we get a palindrome (57645054675).

The spelling of 14444010234 in words is "fourteen billion, four hundred forty-four million, ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 97 149 162 186 194 199 279 291 298 398 447 558 582 597 837 873 894 1194 1341 1674 1746 1791 2511 2619 2682 3007 3582 4023 4619 5022 5238 5373 6014 6169 7857 8046 9021 9238 10746 12069 12338 13857 14453 15714 16119 18042 18507 19303 24138 27063 27714 28906 29651 32238 37014 38606 41571 43359 54126 55521 57909 59302 81189 83142 86718 88953 111042 115818 124713 130077 162378 166563 173727 177906 243567 249426 260154 266859 333126 347454 374139 390231 448043 487134 499689 521181 533718 598393 748278 780462 800577 896086 919181 999378 1042362 1170693 1196786 1344129 1563543 1601154 1795179 1838362 2341386 2401731 2688258 2757543 2876147 3127086 3590358 4032387 4803462 5385537 5515086 5752294 8064774 8272629 8628441 10771074 12097161 16156611 16545258 17256882 24194322 24817887 25885323 32313222 36291483 48469833 49635774 51770646 72582966 74453661 77655969 89160557 96939666 148907322 155311938 178321114 232967907 267481671 465935814 534963342 802445013 1604890026 2407335039 4814670078 7222005117 14444010234