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23430140240 = 24513139162079
BaseRepresentation
bin10101110100100010…
…111001000101010000
32020110212221110001212
4111310202321011100
5340441103441430
614432541115252
71456422622523
oct256442710520
966425843055
1023430140240
119a33781171
12465a858b28
132295224510
1411c3a9abba
15921e78b95
hex5748b9150

23430140240 has 80 divisors (see below), whose sum is σ = 59087884800. Its totient is φ = 8588837376.

The previous prime is 23430140233. The next prime is 23430140297. The reversal of 23430140240 is 4204103432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 63521 + ... + 225599.

It is an arithmetic number, because the mean of its divisors is an integer number (738598560).

Almost surely, 223430140240 is an apocalyptic number.

23430140240 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 23430140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29543942400).

23430140240 is an abundant number, since it is smaller than the sum of its proper divisors (35657744560).

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

23430140240 is a wasteful number, since it uses less digits than its factorization.

23430140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162244 (or 162238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23430140240 its reverse (4204103432), we get a palindrome (27634243672).

The spelling of 23430140240 in words is "twenty-three billion, four hundred thirty million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 139 208 260 278 520 556 695 1040 1112 1390 1807 2224 2780 3614 5560 7228 9035 11120 14456 18070 28912 36140 72280 144560 162079 324158 648316 810395 1296632 1620790 2107027 2593264 3241580 4214054 6483160 8428108 10535135 12966320 16856216 21070270 22528981 33712432 42140540 45057962 84281080 90115924 112644905 168562160 180231848 225289810 292876753 360463696 450579620 585753506 901159240 1171507012 1464383765 1802318480 2343014024 2928767530 4686028048 5857535060 11715070120 23430140240