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23045441540 = 225113141731129
BaseRepresentation
bin10101011101100111…
…011000100000000100
32012111002001201122212
4111131213120200010
5334144113112130
614330435442552
71444042010132
oct253547304004
965432051585
1023045441540
119856607360
124571a56458
13223360c754
14118895a752
158ed2d8e95
hex55d9d8804

23045441540 has 192 divisors, whose sum is σ = 56642181120. Its totient is φ = 7796736000.

The previous prime is 23045441479. The next prime is 23045441567. The reversal of 23045441540 is 4514454032.

It is a junction number, because it is equal to n+sod(n) for n = 23045441497 and 23045441506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20411696 + ... + 20412824.

It is an arithmetic number, because the mean of its divisors is an integer number (295011360).

Almost surely, 223045441540 is an apocalyptic number.

23045441540 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 23045441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28321090560).

23045441540 is an abundant number, since it is smaller than the sum of its proper divisors (33596739580).

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

23045441540 is a wasteful number, since it uses less digits than its factorization.

23045441540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 23045441540 its reverse (4514454032), we get a palindrome (27559895572).

The spelling of 23045441540 in words is "twenty-three billion, forty-five million, four hundred forty-one thousand, five hundred forty".