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13140445200 = 2435229377599
BaseRepresentation
bin11000011110011101…
…10100100000010000
31020220210001210001120
430033032310200100
5203402423221300
610011525202240
7643426640601
oct141716644020
936823053046
1013140445200
115633490a73
122668860380
13131550687c
148c9287da8
1551d9453a0
hex30f3b4810

13140445200 has 120 divisors (see below), whose sum is σ = 43544832000. Its totient is φ = 3383278080.

The previous prime is 13140445181. The next prime is 13140445217. The reversal of 13140445200 is 254404131.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154000 + ... + 223599.

It is an arithmetic number, because the mean of its divisors is an integer number (362873600).

Almost surely, 213140445200 is an apocalyptic number.

13140445200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140445200 is an abundant number, since it is smaller than the sum of its proper divisors (30404386800).

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

13140445200 is a wasteful number, since it uses less digits than its factorization.

13140445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377649 (or 377638 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13140445200 its reverse (254404131), we get a palindrome (13394849331).

The spelling of 13140445200 in words is "thirteen billion, one hundred forty million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 377599 755198 1132797 1510396 1887995 2265594 3020792 3775990 4531188 5663985 6041584 7551980 9062376 9439975 10950371 11327970 15103960 18124752 18879950 21900742 22655940 28319925 30207920 32851113 37759900 43801484 45311880 54751855 56639850 65702226 75519800 87602968 90623760 109503710 113279700 131404452 151039600 164255565 175205936 219007420 226559400 262808904 273759275 328511130 438014840 453118800 525617808 547518550 657022260 821277825 876029680 1095037100 1314044520 1642555650 2190074200 2628089040 3285111300 4380148400 6570222600 13140445200