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124342203340432 = 247112692811335209
BaseRepresentation
bin11100010001011010101100…
…110111000101011010010000
3121022020222221221102120222101
4130101122230313011122100
5112244210313023343212
61120242004124050144
735122266466454530
oct3421325467053220
9538228857376871
10124342203340432
113668a261211420
1211b42428393954
13544c55b73749c
14229c2a25894c0
15e5965ce33157
hex7116acdc5690

124342203340432 has 160 divisors (see below), whose sum is σ = 302548758854400. Its totient is φ = 48093123993600.

The previous prime is 124342203340403. The next prime is 124342203340477. The reversal of 124342203340432 is 234043302243421.

It is a junction number, because it is equal to n+sod(n) for n = 124342203340391 and 124342203340400.

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, 92458044 + ... + 93793252.

It is an arithmetic number, because the mean of its divisors is an integer number (1890929742840).

Almost surely, 2124342203340432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124342203340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151274379427200).

124342203340432 is an abundant number, since it is smaller than the sum of its proper divisors (178206555513968).

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

124342203340432 is a wasteful number, since it uses less digits than its factorization.

124342203340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335785 (or 1335779 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 124342203340432 its reverse (234043302243421), we get a palindrome (358385505583853).

The spelling of 124342203340432 in words is "one hundred twenty-four trillion, three hundred forty-two billion, two hundred three million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 269 281 308 538 562 616 1076 1124 1232 1883 1967 2152 2248 2959 3091 3766 3934 4304 4496 5918 6182 7532 7868 11836 12364 15064 15736 20713 21637 23672 24728 30128 31472 41426 43274 47344 49456 75589 82852 86548 151178 165704 173096 302356 331408 346192 529123 604712 831479 1058246 1209424 1335209 1662958 2116492 2670418 3325916 4232984 5340836 5820353 6651832 8465968 9346463 10681672 11640706 13303664 14687299 18692926 21363344 23281412 29374598 37385852 46562824 58749196 74771704 93125648 102811093 117498392 149543408 205622186 234996784 359171221 375193729 411244372 718342442 750387458 822488744 1436684884 1500774916 1644977488 2514198547 2626356103 2873369768 3001549832 3950883431 4127131019 5028397094 5252712206 5746739536 6003099664 7901766862 8254262038 10056794188 10505424412 15803533724 16508524076 20113588376 21010848824 27656184017 28889917133 31607067448 33017048152 40227176752 42021697648 55312368034 57779834266 63214134896 66034096304 100927113101 110624736068 115559668532 201854226202 221249472136 231119337064 403708452404 442498944272 462238674128 706489791707 807416904808 1110198244111 1412979583414 1614833809616 2220396488222 2825959166828 4440792976444 5651918333656 7771387708777 8881585952888 11303836667312 15542775417554 17763171905776 31085550835108 62171101670216 124342203340432