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41140311204000 = 253533428359267
BaseRepresentation
bin10010101101010101110011…
…01000101010000010100000
312101122222100000122010011210
421112222321220222002200
520343020324132012000
6223255333102510120
711444201156254251
oct1126527150520240
9171588300563153
1041140311204000
1112121565170298
124745326b95340
1319c568ca46968
14a232b75dcb28
154b5249678350
hex256ab9a2a0a0

41140311204000 has 96 divisors (see below), whose sum is σ = 134775659543616. Its totient is φ = 10970749651200.

The previous prime is 41140311203911. The next prime is 41140311204017. The reversal of 41140311204000 is 40211304114.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714167634 + ... + 1714191633.

It is an arithmetic number, because the mean of its divisors is an integer number (1403913120246).

Almost surely, 241140311204000 is an apocalyptic number.

41140311204000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41140311204000 is an abundant number, since it is smaller than the sum of its proper divisors (93635348339616).

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

41140311204000 is a wasteful number, since it uses less digits than its factorization.

41140311204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428359295 (or 3428359277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41140311204000 its reverse (40211304114), we get a palindrome (41180522508114).

The spelling of 41140311204000 in words is "forty-one trillion, one hundred forty billion, three hundred eleven million, two hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 3428359267 6856718534 10285077801 13713437068 17141796335 20570155602 27426874136 34283592670 41140311204 51425389005 54853748272 68567185340 82280622408 85708981675 102850778010 109707496544 137134370680 164561244816 171417963350 205701556020 257126945025 274268741360 329122489632 342835926700 411403112040 428544908375 514253890050 548537482720 685671853400 822806224080 857089816750 1028507780100 1285634725125 1371343706800 1645612448160 1714179633500 2057015560200 2571269450250 2742687413600 3428359267000 4114031120400 5142538900500 6856718534000 8228062240800 10285077801000 13713437068000 20570155602000 41140311204000