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13140183760 = 2451127917183
BaseRepresentation
bin11000011110011011…
…10100101011010000
31020220202120111102121
430033031310223100
5203402341340020
610011515424024
7643424501434
oct141715645320
936822514377
1013140183760
115633322600
122668755014
131315444882
148c921a9c4
1551d8e2baa
hex30f374ad0

13140183760 has 120 divisors (see below), whose sum is σ = 34007823360. Its totient is φ = 4717489920.

The previous prime is 13140183757. The next prime is 13140183809. The reversal of 13140183760 is 6738104131.

13140183760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756129 + ... + 773311.

It is an arithmetic number, because the mean of its divisors is an integer number (283398528).

Almost surely, 213140183760 is an apocalyptic number.

13140183760 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 13140183760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003911680).

13140183760 is an abundant number, since it is smaller than the sum of its proper divisors (20867639600).

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

13140183760 is a wasteful number, since it uses less digits than its factorization.

13140183760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297 (or 17280 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 13140183760 its reverse (6738104131), we get a palindrome (19878287891).

The spelling of 13140183760 in words is "thirteen billion, one hundred forty million, one hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 121 158 176 220 242 316 395 440 484 605 632 790 869 880 968 1210 1264 1580 1738 1936 2420 3160 3476 4345 4840 6320 6952 8690 9559 9680 13904 17183 17380 19118 34366 34760 38236 47795 68732 69520 76472 85915 95590 137464 152944 171830 189013 191180 274928 343660 378026 382360 687320 756052 764720 945065 1357457 1374640 1512104 1890130 2079143 2714914 3024208 3780260 4158286 5429828 6787285 7560520 8316572 10395715 10859656 13574570 14932027 15121040 16633144 20791430 21719312 27149140 29864054 33266288 41582860 54298280 59728108 74660135 83165720 108596560 119456216 149320270 164252297 166331440 238912432 298640540 328504594 597281080 657009188 821261485 1194562160 1314018376 1642522970 2628036752 3285045940 6570091880 13140183760