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24140134100 = 2252389620569
BaseRepresentation
bin10110011110110111…
…010011011011010100
32022022100220212112202
4112132313103123110
5343414333242400
615031222504032
71513133516465
oct263667233324
968270825482
1024140134100
11a268527055
124818595018
132379352724
1412500b6d6c
159644724d5
hex59edd36d4

24140134100 has 36 divisors (see below), whose sum is σ = 52518839100. Its totient is φ = 9631215360.

The previous prime is 24140134099. The next prime is 24140134111. The reversal of 24140134100 is 143104142.

It can be written as a sum of positive squares in 6 ways, for example, as 400720324 + 23739413776 = 20018^2 + 154076^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271385 + ... + 349184.

Almost surely, 224140134100 is an apocalyptic number.

24140134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24140134100 is an abundant number, since it is smaller than the sum of its proper divisors (28378705000).

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

24140134100 is a wasteful number, since it uses less digits than its factorization.

24140134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620972 (or 620965 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 24140134100 its reverse (143104142), we get a palindrome (24283238242).

The spelling of 24140134100 in words is "twenty-four billion, one hundred forty million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 389 778 1556 1945 3890 7780 9725 19450 38900 620569 1241138 2482276 3102845 6205690 12411380 15514225 31028450 62056900 241401341 482802682 965605364 1207006705 2414013410 4828026820 6035033525 12070067050 24140134100