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12414540601240 = 235794341190499
BaseRepresentation
bin1011010010100111110001…
…0010000101011110011000
31121221211002200100112211221
42310221330102011132120
53111344434343214430
642223054453501424
72420630613666661
oct264517422053630
947854080315757
1012414540601240
113a56a82583118
121486030641874
136c08bc63928b
1430cc1cd7c368
15167de613557a
hexb4a7c485798

12414540601240 has 64 divisors (see below), whose sum is σ = 28287259200000. Its totient is φ = 4902790688640.

The previous prime is 12414540601219. The next prime is 12414540601279. The reversal of 12414540601240 is 4210604541421.

It is a junction number, because it is equal to n+sod(n) for n = 12414540601196 and 12414540601205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137133511 + ... + 137224009.

It is an arithmetic number, because the mean of its divisors is an integer number (441988425000).

Almost surely, 212414540601240 is an apocalyptic number.

12414540601240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414540601240 is an abundant number, since it is smaller than the sum of its proper divisors (15872718598760).

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

12414540601240 is a wasteful number, since it uses less digits than its factorization.

12414540601240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134000 (or 133996 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 12414540601240 in words is "twelve trillion, four hundred fourteen billion, five hundred forty million, six hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 43411 86822 90499 173644 180998 217055 347288 361996 434110 452495 723992 868220 904990 1736440 1809980 3429469 3619960 6858938 7149421 13717876 14298842 17147345 27435752 28597684 34294690 35747105 57195368 68589380 71494210 137178760 142988420 285976840 3928652089 7857304178 15714608356 19643260445 31429216712 39286520890 78573041780 157146083560 310363515031 620727030062 1241454060124 1551817575155 2482908120248 3103635150310 6207270300620 12414540601240