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23033242414440 = 233251391493089239
BaseRepresentation
bin1010011110010110110000…
…01110110110110101101000
310000112221211021012101220200
411033023120032312311220
511004334040024230230
6120553154145552200
74565045135110116
oct517133016666550
9100487737171820
1023033242414440
11738038595a7a5
1226bbbb6345660
13cb1043b7804b
14598b5a068ab6
1529e232bce160
hex14f2d83b6d68

23033242414440 has 192 divisors, whose sum is σ = 75902626800000. Its totient is φ = 6057081303552.

The previous prime is 23033242414417. The next prime is 23033242414517. The reversal of 23033242414440 is 4441424233032.

23033242414440 is a `hidden beast` number, since 2 + 3 + 0 + 332 + 4 + 241 + 44 + 40 = 666.

It is a super-2 number, since 2×230332424144402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23033242414395 and 23033242414404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5911341 + ... + 9000579.

It is an arithmetic number, because the mean of its divisors is an integer number (395326181250).

Almost surely, 223033242414440 is an apocalyptic number.

23033242414440 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 23033242414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37951313400000).

23033242414440 is an abundant number, since it is smaller than the sum of its proper divisors (52869384385560).

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

23033242414440 is a wasteful number, since it uses less digits than its factorization.

23033242414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3089544 (or 3089537 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 23033242414440 its reverse (4441424233032), we get a palindrome (27474666647472).

The spelling of 23033242414440 in words is "twenty-three trillion, thirty-three billion, two hundred forty-two million, four hundred fourteen thousand, four hundred forty".