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123534143343400 = 23523075720082281
BaseRepresentation
bin11100000101101010001000…
…101110110100101100101000
3121012101202012211222120122011
4130011222020232310230220
5112142440411143442100
61114422445122005304
735010022143020056
oct3405521056645450
9535352184876564
10123534143343400
11363a8599430659
1211a318b27a6834
1353c12b199c1ca
1422711279bd1d6
15e43617243bba
hex705a88bb4b28

123534143343400 has 48 divisors (see below), whose sum is σ = 287226235836540. Its totient is φ = 49412048294400.

The previous prime is 123534143343397. The next prime is 123534143343451. The reversal of 123534143343400 is 4343341435321.

It can be written as a sum of positive squares in 6 ways, for example, as 83939568717316 + 39594574626084 = 9161854^2 + 6292422^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3889741 + ... + 16192540.

Almost surely, 2123534143343400 is an apocalyptic number.

123534143343400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123534143343400 is an abundant number, since it is smaller than the sum of its proper divisors (163692092493140).

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

123534143343400 is a wasteful number, since it uses less digits than its factorization.

123534143343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20113054 (or 20113045 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

Adding to 123534143343400 its reverse (4343341435321), we get a palindrome (127877484778721).

The spelling of 123534143343400 in words is "one hundred twenty-three trillion, five hundred thirty-four billion, one hundred forty-three million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 30757 61514 123028 153785 246056 307570 615140 768925 1230280 1537850 3075700 6151400 20082281 40164562 80329124 100411405 160658248 200822810 401645620 502057025 803291240 1004114050 2008228100 4016456200 617670716717 1235341433434 2470682866868 3088353583585 4941365733736 6176707167170 12353414334340 15441767917925 24706828668680 30883535835850 61767071671700 123534143343400