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12424030021040 = 24511181343322721
BaseRepresentation
bin1011010011001011000111…
…1001010110010110110000
31121222201121000101000121112
42310302301321112112300
53112023403141133130
642231304241012452
72421415021510631
oct264626171262660
947881530330545
1012424030021040
113a60002064720
121487a3a624128
136c1772608991
1430d47d393888
1516829e28a495
hexb4cb1e565b0

12424030021040 has 160 divisors (see below), whose sum is σ = 31696581413952. Its totient is φ = 4491362304000.

The previous prime is 12424030020979. The next prime is 12424030021057. The reversal of 12424030021040 is 4012003042421.

12424030021040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12424030020997 and 12424030021015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546796880 + ... + 546819600.

Almost surely, 212424030021040 is an apocalyptic number.

12424030021040 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 12424030021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848290706976).

12424030021040 is an abundant number, since it is smaller than the sum of its proper divisors (19272551392912).

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

12424030021040 is a wasteful number, since it uses less digits than its factorization.

12424030021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26359 (or 26353 counting only the distinct ones).

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

Adding to 12424030021040 its reverse (4012003042421), we get a palindrome (16436033063461).

The spelling of 12424030021040 in words is "twelve trillion, four hundred twenty-four billion, thirty million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 181 220 362 440 724 880 905 1448 1810 1991 2896 3433 3620 3982 6866 7240 7964 9955 13732 14480 15928 17165 19910 22721 27464 31856 34330 37763 39820 45442 54928 68660 75526 79640 90884 113605 137320 151052 159280 181768 188815 227210 249931 274640 302104 363536 377630 454420 499862 604208 621373 755260 908840 999724 1242746 1249655 1510520 1817680 1999448 2485492 2499310 3021040 3106865 3998896 4112501 4970984 4998620 6213730 6835103 8225002 9941968 9997240 12427460 13670206 16450004 19994480 20562505 24854920 27340412 32900008 34175515 41125010 45237511 49709840 54680824 65800016 68351030 78001193 82250020 90475022 109361648 136702060 156002386 164500040 180950044 226187555 273404120 312004772 329000080 361900088 390005965 452375110 546808240 624009544 723800176 780011930 858013123 904750220 1248019088 1560023860 1716026246 1809500440 3120047720 3432052492 3619000880 4290065615 6240095440 6864104984 8580131230 13728209968 14118215933 17160262460 28236431866 34320524920 56472863732 68641049840 70591079665 112945727464 141182159330 155300375263 225891454928 282364318660 310600750526 564728637320 621201501052 776501876315 1129457274640 1242403002104 1553003752630 2484806004208 3106007505260 6212015010520 12424030021040