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134432442001340 = 22573130975217051
BaseRepresentation
bin11110100100001111111101…
…111100111010011110111100
3122121222121122000121210010222
4132210033331330322132330
5120110020120123020330
61153525224500520512
740213265143113110
oct3644177574723674
9577877560553128
10134432442001340
113991a529954a4a
12130b1aa89b0138
135a01c03c87442
14252a7ca17d740
151081d6a1470e5
hex7a43fdf3a7bc

134432442001340 has 48 divisors (see below), whose sum is σ = 333045533743104. Its totient is φ = 44604312552000.

The previous prime is 134432442001283. The next prime is 134432442001391. The reversal of 134432442001340 is 43100244234431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 134432442001340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15487604186 + ... + 15487612865.

It is an arithmetic number, because the mean of its divisors is an integer number (6938448619648).

Almost surely, 2134432442001340 is an apocalyptic number.

134432442001340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134432442001340 is an abundant number, since it is smaller than the sum of its proper divisors (198613091741764).

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

134432442001340 is a wasteful number, since it uses less digits than its factorization.

134432442001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30975217098 (or 30975217096 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 134432442001340 its reverse (43100244234431), we get a palindrome (177532686235771).

The spelling of 134432442001340 in words is "one hundred thirty-four trillion, four hundred thirty-two billion, four hundred forty-two million, one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 30975217051 61950434102 123900868204 154876085255 216826519357 309752170510 433653038714 619504341020 867306077428 960231728581 1084132596785 1920463457162 2168265193570 3840926914324 4336530387140 4801158642905 6721622100067 9602317285810 13443244200134 19204634571620 26886488400268 33608110500335 67216221000670 134432442001340