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23011410442240 = 211511735127791
BaseRepresentation
bin1010011101101110000101…
…11100011111100000000000
310000110212110202111022020201
411032313002330133200000
511004004332033122430
6120535143535014544
74563343126314313
oct516670274374000
9100425422438221
1023011410442240
1173720a2319970
1226b792296a454
13cabc74a977bc
14597a8874697a
1529d8a61e18ca
hex14edc2f1f800

23011410442240 has 192 divisors, whose sum is σ = 60243708994560. Its totient is φ = 8366346240000.

The previous prime is 23011410442213. The next prime is 23011410442283. The reversal of 23011410442240 is 4224401411032.

It is a super-2 number, since 2×230114104422402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23011410442199 and 23011410442208.

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, 828002745 + ... + 828030535.

It is an arithmetic number, because the mean of its divisors is an integer number (313769317680).

Almost surely, 223011410442240 is an apocalyptic number.

23011410442240 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 23011410442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30121854497280).

23011410442240 is an abundant number, since it is smaller than the sum of its proper divisors (37232298552320).

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

23011410442240 is a wasteful number, since it uses less digits than its factorization.

23011410442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35180 (or 35160 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 23011410442240 its reverse (4224401411032), we get a palindrome (27235811853272).

The spelling of 23011410442240 in words is "twenty-three trillion, eleven billion, four hundred ten million, four hundred forty-two thousand, two hundred forty".