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13140103032240 = 243582766203663
BaseRepresentation
bin1011111100110110101100…
…1011000110110110110000
31201112011220101001222200120
42333031223023012312300
53210241412334012430
643540251402450240
72524225000622262
oct277155313066660
951464811058616
1013140103032240
114206760666548
121582781b03980
1374414c9b3122
14335dad1d3b32
1517bc0e45b610
hexbf36b2c6db0

13140103032240 has 80 divisors (see below), whose sum is σ = 40783575541248. Its totient is φ = 3499790387968.

The previous prime is 13140103032233. The next prime is 13140103032257. The reversal of 13140103032240 is 4223030104131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13140103032240.

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, 32903352 + ... + 33300311.

Almost surely, 213140103032240 is an apocalyptic number.

13140103032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140103032240 is an abundant number, since it is smaller than the sum of its proper divisors (27643472509008).

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

13140103032240 is a wasteful number, since it uses less digits than its factorization.

13140103032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66204506 (or 66204500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13140103032240 its reverse (4223030104131), we get a palindrome (17363133136371).

The spelling of 13140103032240 in words is "thirteen trillion, one hundred forty billion, one hundred three million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 827 1654 2481 3308 4135 4962 6616 8270 9924 12405 13232 16540 19848 24810 33080 39696 49620 66160 99240 198480 66203663 132407326 198610989 264814652 331018315 397221978 529629304 662036630 794443956 993054945 1059258608 1324073260 1588887912 1986109890 2648146520 3177775824 3972219780 5296293040 7944439560 15888879120 54750429301 109500858602 164251287903 219001717204 273752146505 328502575806 438003434408 547504293010 657005151612 821256439515 876006868816 1095008586020 1314010303224 1642512879030 2190017172040 2628020606448 3285025758060 4380034344080 6570051516120 13140103032240