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14100005135400 = 2335264736321497
BaseRepresentation
bin1100110100101110100111…
…0011000010010000101000
31211220221120121020012110020
43031023221303002100220
53322003302303313100
645553241500120440
72653456162105062
oct315135163022050
954827517205406
1014100005135400
114546862349018
1216b8813236120
137b3817840c92
1436a630068732
15196b907ee5a0
hexcd2e9cc2428

14100005135400 has 96 divisors (see below), whose sum is σ = 43777575109440. Its totient is φ = 3754189826560.

The previous prime is 14100005135329. The next prime is 14100005135407. The reversal of 14100005135400 is 453150000141.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14100005135407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17772549 + ... + 18548948.

It is an arithmetic number, because the mean of its divisors is an integer number (456016407390).

Almost surely, 214100005135400 is an apocalyptic number.

14100005135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100005135400 is an abundant number, since it is smaller than the sum of its proper divisors (29677569974040).

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

14100005135400 is a wasteful number, since it uses less digits than its factorization.

14100005135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36322163 (or 36322154 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 14100005135400 its reverse (453150000141), we get a palindrome (14553155135541).

The spelling of 14100005135400 in words is "fourteen trillion, one hundred billion, five million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 12940 15528 16175 19410 25880 32350 38820 48525 64700 77640 97050 129400 194100 388200 36321497 72642994 108964491 145285988 181607485 217928982 290571976 363214970 435857964 544822455 726429940 871715928 908037425 1089644910 1452859880 1816074850 2179289820 2724112275 3632149700 4358579640 5448224550 7264299400 10896449100 21792898200 23500008559 47000017118 70500025677 94000034236 117500042795 141000051354 188000068472 235000085590 282000102708 352500128385 470000171180 564000205416 587500213975 705000256770 940000342360 1175000427950 1410000513540 1762500641925 2350000855900 2820001027080 3525001283850 4700001711800 7050002567700 14100005135400