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23414345400 = 2335239798297
BaseRepresentation
bin10101110011100110…
…101000111010111000
32020102210012222121210
4111303212220322320
5340423033023100
614431214403120
71456141436445
oct256346507270
966383188553
1023414345400
119a25873286
1246555004a0
132291b84164
1411c19489cc
159208a8c50
hex5739a8eb8

23414345400 has 96 divisors (see below), whose sum is σ = 72768043440. Its totient is φ = 6228034560.

The previous prime is 23414345399. The next prime is 23414345413. The reversal of 23414345400 is 454341432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189052 + ... + 287348.

Almost surely, 223414345400 is an apocalyptic number.

23414345400 is a gapful number since it is divisible by the number (20) 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 23414345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36384021720).

23414345400 is an abundant number, since it is smaller than the sum of its proper divisors (49353698040).

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

23414345400 is a wasteful number, since it uses less digits than its factorization.

23414345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98713 (or 98704 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 23414345400 its reverse (454341432), we get a palindrome (23868686832).

The spelling of 23414345400 in words is "twenty-three billion, four hundred fourteen million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 397 600 794 1191 1588 1985 2382 3176 3970 4764 5955 7940 9528 9925 11910 15880 19850 23820 29775 39700 47640 59550 79400 98297 119100 196594 238200 294891 393188 491485 589782 786376 982970 1179564 1474455 1965940 2359128 2457425 2948910 3931880 4914850 5897820 7372275 9829700 11795640 14744550 19659400 29489100 39023909 58978200 78047818 117071727 156095636 195119545 234143454 312191272 390239090 468286908 585358635 780478180 936573816 975597725 1170717270 1560956360 1951195450 2341434540 2926793175 3902390900 4682869080 5853586350 7804781800 11707172700 23414345400