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24122314040 = 23511247722133
BaseRepresentation
bin10110011101110011…
…010100110100111000
32022021010101112000112
4112131303110310320
5343400303022130
615025344523452
71512526200116
oct263563246470
968233345015
1024122314040
11a259465630
124812620588
132375753606
14124b998ab6
15962b02495
hex59dcd4d38

24122314040 has 64 divisors (see below), whose sum is σ = 59235896160. Its totient is φ = 8767813120.

The previous prime is 24122314039. The next prime is 24122314129. The reversal of 24122314040 is 4041322142.

It is a super-2 number, since 2×241223140402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24122313997 and 24122314015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078814 + ... + 1100946.

Almost surely, 224122314040 is an apocalyptic number.

24122314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24122314040 is an abundant number, since it is smaller than the sum of its proper divisors (35113582120).

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

24122314040 is a wasteful number, since it uses less digits than its factorization.

24122314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24632 (or 24628 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24122314040 its reverse (4041322142), we get a palindrome (28163636182).

The spelling of 24122314040 in words is "twenty-four billion, one hundred twenty-two million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2477 4954 9908 12385 19816 22133 24770 27247 44266 49540 54494 88532 99080 108988 110665 136235 177064 217976 221330 243463 272470 442660 486926 544940 885320 973852 1089880 1217315 1947704 2434630 4869260 9738520 54823441 109646882 219293764 274117205 438587528 548234410 603057851 1096468820 1206115702 2192937640 2412231404 3015289255 4824462808 6030578510 12061157020 24122314040