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12144310040 = 2352327894733
BaseRepresentation
bin10110100111101101…
…10111011100011000
31011100100122212111202
423103312313130120
5144332420410130
65325022413332
7606642634502
oct132366673430
934310585452
1012144310040
115172167975
12242b131248
1311b7020895
14832c64d72
154b1279145
hex2d3db7718

12144310040 has 64 divisors (see below), whose sum is σ = 28528977600. Its totient is φ = 4643871232.

The previous prime is 12144310037. The next prime is 12144310049. The reversal of 12144310040 is 4001344121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12144309994 and 12144310021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144310049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2563514 + ... + 2568246.

It is an arithmetic number, because the mean of its divisors is an integer number (445765275).

Almost surely, 212144310040 is an apocalyptic number.

12144310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144310040 is an abundant number, since it is smaller than the sum of its proper divisors (16384667560).

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

12144310040 is a wasteful number, since it uses less digits than its factorization.

12144310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556 (or 7552 counting only the distinct ones).

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

Adding to 12144310040 its reverse (4001344121), we get a palindrome (16145654161).

The spelling of 12144310040 in words is "twelve billion, one hundred forty-four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2789 4733 5578 9466 11156 13945 18932 22312 23665 27890 37864 47330 55780 64147 94660 108859 111560 128294 189320 217718 256588 320735 435436 513176 544295 641470 870872 1088590 1282940 2177180 2565880 4354360 13200337 26400674 52801348 66001685 105602696 132003370 264006740 303607751 528013480 607215502 1214431004 1518038755 2428862008 3036077510 6072155020 12144310040