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14102040304100 = 2252722877967409
BaseRepresentation
bin1100110100110110001100…
…0110100101100111100100
31211221010211102202111001202
43031031203012211213210
53322021434304212400
645554215440542032
72653560463543400
oct315154306454744
954833742674052
1014102040304100
114547707126421
1216b90a0921918
137b3a8037cb08
1436a78447a100
15196c5e30c4d5
hexcd3631a59e4

14102040304100 has 54 divisors (see below), whose sum is σ = 35597578894290. Its totient is φ = 4834985245440.

The previous prime is 14102040304087. The next prime is 14102040304103. The reversal of 14102040304100 is 140304020141.

14102040304100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4437502345444 + 9664537958656 = 2106538^2 + 3108784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14102040304103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1438978805 + ... + 1438988604.

Almost surely, 214102040304100 is an apocalyptic number.

14102040304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14102040304100 is an abundant number, since it is smaller than the sum of its proper divisors (21495538590190).

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

14102040304100 is a wasteful number, since it uses less digits than its factorization.

14102040304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877967437 (or 2877967423 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14102040304100 its reverse (140304020141), we get a palindrome (14242344324241).

The spelling of 14102040304100 in words is "fourteen trillion, one hundred two billion, forty million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2877967409 5755934818 11511869636 14389837045 20145771863 28779674090 40291543726 57559348180 71949185225 80583087452 100728859315 141020403041 143898370450 201457718630 282040806082 287796740900 402915437260 503644296575 564081612164 705102015205 1007288593150 1410204030410 2014577186300 2820408060820 3525510076025 7051020152050 14102040304100