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23114423134112 = 2547731045920129
BaseRepresentation
bin1010100000101101111101…
…11110101110011110100000
310000211201100220001020210212
411100112332332232132200
511012201314310242422
6121054341442313252
74603650644616122
oct520267676563640
9100751326036725
1023114423134112
1174018542a3a62
122713891658828
13cb88b07b364b
1459ca5b955212
152a13d4b7a9e2
hex1505befae7a0

23114423134112 has 96 divisors (see below), whose sum is σ = 47118229804800. Its totient is φ = 11154743083008.

The previous prime is 23114423134109. The next prime is 23114423134123. The reversal of 23114423134112 is 21143132441132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148304464 + ... + 1148324592.

It is an arithmetic number, because the mean of its divisors is an integer number (490814893800).

Almost surely, 223114423134112 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 23114423134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23559114902400).

23114423134112 is an abundant number, since it is smaller than the sum of its proper divisors (24003806670688).

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

23114423134112 is a wasteful number, since it uses less digits than its factorization.

23114423134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30718 (or 30710 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

Adding to 23114423134112 its reverse (21143132441132), we get a palindrome (44257555575244).

The spelling of 23114423134112 in words is "twenty-three trillion, one hundred fourteen billion, four hundred twenty-three million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 47 73 94 146 188 292 376 584 752 1168 1504 2336 3431 6862 10459 13724 20129 20918 27448 40258 41836 54896 80516 83672 109792 161032 167344 322064 334688 491573 644128 763507 946063 983146 1469417 1527014 1892126 1966292 2938834 3054028 3784252 3932584 5877668 6108056 7568504 7865168 11755336 12216112 15137008 15730336 23510672 24432224 30274016 35884829 47021344 69062599 71769658 138125198 143539316 210529211 276250396 287078632 421058422 552500792 574157264 842116844 1105001584 1148314528 1684233688 2210003168 3368467376 6736934752 9894872917 15368632403 19789745834 30737264806 39579491668 61474529612 79158983336 122949059224 158317966672 245898118448 316635933344 491796236896 722325722941 1444651445882 2889302891764 5778605783528 11557211567056 23114423134112