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23414130234120 = 23356715671858459
BaseRepresentation
bin1010101001011100001101…
…11010100101001100001000
310001220100221222211102022010
411110232012322211030020
511032104114314442440
6121444145233455520
74634420655132603
oct524560672451410
9101810858742263
1023414130234120
11750797112614a
122761994a115a0
13100ac34a2c042
145ad36dc1133a
152a90c677e580
hex154b86ea5308

23414130234120 has 128 divisors (see below), whose sum is σ = 71336318054400. Its totient is φ = 6146649121536.

The previous prime is 23414130234071. The next prime is 23414130234179. The reversal of 23414130234120 is 2143203141432.

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

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, 11669451 + ... + 13527909.

It is an arithmetic number, because the mean of its divisors is an integer number (557314984800).

Almost surely, 223414130234120 is an apocalyptic number.

23414130234120 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 23414130234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35668159027200).

23414130234120 is an abundant number, since it is smaller than the sum of its proper divisors (47922187820280).

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

23414130234120 is a wasteful number, since it uses less digits than its factorization.

23414130234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860107 (or 1860103 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 23414130234120 its reverse (2143203141432), we get a palindrome (25557333375552).

The spelling of 23414130234120 in words is "twenty-three trillion, four hundred fourteen billion, one hundred thirty million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1567 1608 2010 2680 3134 4020 4701 6268 7835 8040 9402 12536 15670 18804 23505 31340 37608 47010 62680 94020 104989 188040 209978 314967 419956 524945 629934 839912 1049890 1259868 1574835 1858459 2099780 2519736 3149670 3716918 4199560 5575377 6299340 7433836 9292295 11150754 12598680 14867672 18584590 22301508 27876885 37169180 44603016 55753770 74338360 111507540 124516753 223015080 249033506 373550259 498067012 622583765 747100518 996134024 1245167530 1494201036 1867751295 2490335060 2912205253 2988402072 3735502590 4980670120 5824410506 7471005180 8736615759 11648821012 14561026265 14942010360 17473231518 23297642024 29122052530 34946463036 43683078795 58244105060 69892926072 87366157590 116488210120 174732315180 195117751951 349464630360 390235503902 585353255853 780471007804 975588759755 1170706511706 1560942015608 1951177519510 2341413023412 2926766279265 3902355039020 4682826046824 5853532558530 7804710078040 11707065117060 23414130234120