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114332102042424 = 23373372273888443
BaseRepresentation
bin11001111111110000000100…
…010101000010001100111000
3112222211001010202211020021120
4121333300010111002030320
5104441204121110324144
61043055235333105240
733040136033355630
oct3177600425021470
9488731122736246
10114332102042424
113347aa76a75732
12109a63b1788220
134ba4617915266
1420339bba896c0
15d340912c2e19
hex67fc04542338

114332102042424 has 128 divisors (see below), whose sum is σ = 327776985469440. Its totient is φ = 32555016732672.

The previous prime is 114332102042423. The next prime is 114332102042429. The reversal of 114332102042424 is 424240201233411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114332102042423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128243947 + ... + 129132389.

It is an arithmetic number, because the mean of its divisors is an integer number (2560757698980).

Almost surely, 2114332102042424 is an apocalyptic number.

114332102042424 is a gapful number since it is divisible by the number (14) 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 114332102042424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163888492734720).

114332102042424 is an abundant number, since it is smaller than the sum of its proper divisors (213444883427016).

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

114332102042424 is a wasteful number, since it uses less digits than its factorization.

114332102042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891069 (or 891065 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 114332102042424 its reverse (424240201233411), we get a palindrome (538572303275835).

The spelling of 114332102042424 in words is "one hundred fourteen trillion, three hundred thirty-two billion, one hundred two million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 337 674 1011 1348 2022 2273 2359 2696 4044 4546 4718 6819 7077 8088 9092 9436 13638 14154 15911 18184 18872 27276 28308 31822 47733 54552 56616 63644 95466 127288 190932 381864 766001 888443 1532002 1776886 2298003 2665329 3064004 3553772 4596006 5330658 5362007 6128008 6219101 7107544 9192012 10661316 10724014 12438202 16086021 18384024 18657303 21322632 21448028 24876404 32172042 37314606 42896056 49752808 64344084 74629212 128688168 149258424 299405291 598810582 898215873 1197621164 1796431746 2019430939 2095837037 2395242328 3592863492 4038861878 4191674074 6058292817 6287511111 7185726984 8077723756 8383348148 12116585634 12575022222 14136016573 16155447512 16766696296 24233171268 25150044444 28272033146 42408049719 48466342536 50300088888 56544066292 84816099438 113088132584 169632198876 339264397752 680548226443 1361096452886 2041644679329 2722192905772 4083289358658 4763837585101 5444385811544 8166578717316 9527675170202 14291512755303 16333157434632 19055350340404 28583025510606 38110700680808 57166051021212 114332102042424