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14401031322342 = 2373783384729023
BaseRepresentation
bin1101000110010000000001…
…0110110011101011100110
31212222201120122002221001010
43101210000112303223212
53341421303004303332
650343424212043050
73014303660346210
oct321440026635346
955881518087033
1014401031322342
1146524968247a5
121747024303486
1380601c1482a2
1437b0295b35b0
1519e90d1139cc
hexd19005b3ae6

14401031322342 has 128 divisors (see below), whose sum is σ = 34223659352064. Its totient is φ = 3953977711488.

The previous prime is 14401031322341. The next prime is 14401031322361. The reversal of 14401031322342 is 24322313010441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14401031322341) 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, 496179243 + ... + 496208265.

It is an arithmetic number, because the mean of its divisors is an integer number (267372338688).

Almost surely, 214401031322342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401031322342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111829676032).

14401031322342 is an abundant number, since it is smaller than the sum of its proper divisors (19822628029722).

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

14401031322342 is a wasteful number, since it uses less digits than its factorization.

14401031322342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33002.

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

Adding to 14401031322342 its reverse (24322313010441), we get a palindrome (38723344332783).

The spelling of 14401031322342 in words is "fourteen trillion, four hundred one billion, thirty-one million, three hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 83 111 166 222 249 259 498 518 581 777 1162 1554 1743 3071 3486 3847 6142 7694 9213 11541 18426 21497 23082 26929 29023 42994 53858 58046 64491 80787 87069 128982 142339 161574 174138 203161 284678 319301 406322 427017 609483 638602 854034 957903 996373 1073851 1218966 1915806 1992746 2147702 2235107 2408909 2989119 3221553 4470214 4817818 5978238 6443106 6705321 7226727 7516957 11814137 13410642 14453454 15033914 16862363 22550871 23628274 33724726 35442411 45101742 50587089 70884822 82698959 89129633 101174178 111651481 165397918 178259266 223302962 248096877 267388899 334954443 496193754 534777798 623907431 669908886 781560367 1247814862 1563120734 1871722293 2344681101 3743444586 4131104797 4689362202 8262209594 9267072923 12393314391 18534145846 24786628782 27801218769 28917733579 55602437538 57835467158 64869510461 86753200737 129739020922 173506401474 194608531383 342881698151 389217062766 685763396302 1028645094453 2057290188906 2400171887057 4800343774114 7200515661171 14401031322342