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12440424440000 = 2654385180761
BaseRepresentation
bin1011010100001000001100…
…0101000110000011000000
31122001021220120100210111202
42311002003011012003000
53112310442124040000
642243015130200332
72422535212666514
oct265020305060300
948037816323452
1012440424440000
113a66a553032a7
12148b054b830a8
136c3185ccb0bb
14310196876144
1516890d6e0dd5
hexb50831460c0

12440424440000 has 140 divisors (see below), whose sum is σ = 30856601982888. Its totient is φ = 4974816000000.

The previous prime is 12440424439951. The next prime is 12440424440009. The reversal of 12440424440000 is 4442404421.

It is not an unprimeable number, because it can be changed into a prime (12440424440009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153999620 + ... + 154080380.

Almost surely, 212440424440000 is an apocalyptic number.

12440424440000 is a gapful number since it is divisible by the number (10) 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 12440424440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428300991444).

12440424440000 is an abundant number, since it is smaller than the sum of its proper divisors (18416177542888).

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

12440424440000 is an frugal number, since it uses more digits than its factorization.

12440424440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84644 (or 84619 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 12440424440000 its reverse (4442404421), we get a palindrome (12444866844421).

The spelling of 12440424440000 in words is "twelve trillion, four hundred forty billion, four hundred twenty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3851 4000 5000 7702 8000 10000 15404 19255 20000 30808 38510 40000 61616 77020 80761 96275 123232 154040 161522 192550 246464 308080 323044 385100 403805 481375 616160 646088 770200 807610 962750 1232320 1292176 1540400 1615220 1925500 2019025 2406875 2584352 3080800 3230440 3851000 4038050 4813750 5168704 6161600 6460880 7702000 8076100 9627500 10095125 12921760 15404000 16152200 19255000 20190250 25843520 30808000 32304400 38510000 40380500 50475625 64608800 77020000 80761000 100951250 129217600 154040000 161522000 201902500 311010611 323044000 403805000 622021222 646088000 807610000 1244042444 1555053055 1615220000 2488084888 3110106110 3230440000 4976169776 6220212220 7775265275 9952339552 12440424440 15550530550 19904679104 24880848880 31101061100 38876326375 49761697760 62202122200 77752652750 99523395520 124404244400 155505305500 194381631875 248808488800 311010611000 388763263750 497616977600 622021222000 777526527500 1244042444000 1555053055000 2488084888000 3110106110000 6220212220000 12440424440000