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244331401314 = 2371113123732887
BaseRepresentation
bin1110001110001101001…
…0010101000001100010
3212100122212122012120210
43203203102111001202
513000342314320224
6304124433514550
723436521433660
oct3434322250142
9770585565523
10244331401314
1194690785150
123b42a112a56
131a06a8669a0
14bb7ba2bc30
156550344429
hex38e3495062

244331401314 has 128 divisors (see below), whose sum is σ = 656657068032. Its totient is φ = 58531818240.

The previous prime is 244331401313. The next prime is 244331401339. The reversal of 244331401314 is 413104133442.

It is not an unprimeable number, because it can be changed into a prime (244331401313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7412979 + ... + 7445865.

It is an arithmetic number, because the mean of its divisors is an integer number (5130133344).

Almost surely, 2244331401314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244331401314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328328534016).

244331401314 is an abundant number, since it is smaller than the sum of its proper divisors (412325666718).

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

244331401314 is a wasteful number, since it uses less digits than its factorization.

244331401314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34160.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 244331401314 its reverse (413104133442), we get a palindrome (657435534756).

The spelling of 244331401314 in words is "two hundred forty-four billion, three hundred thirty-one million, four hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1237 2002 2474 3003 3711 6006 7422 8659 13607 16081 17318 25977 27214 32162 32887 40821 48243 51954 65774 81642 95249 96486 98661 112567 176891 190498 197322 225134 230209 285747 337701 353782 361757 427531 460418 530673 571494 675402 690627 723514 855062 1061346 1085271 1238237 1282593 1381254 2170542 2476474 2532299 2565186 2992717 3714711 4702841 5064598 5985434 7429422 7596897 8978151 9405682 14108523 15193794 17956302 28217046 32919887 40681219 65839774 81362438 98759661 122043657 197519322 244087314 284768533 447493409 528855847 569537066 854305599 894986818 1057711694 1342480227 1586567541 1708611198 2684960454 3132453863 3173135082 3701990929 5817414317 6264907726 7403981858 9397361589 11105972787 11634828634 17452242951 18794723178 22211945574 34904485902 40721900219 81443800438 122165700657 244331401314