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14341200103040 = 27533766492953
BaseRepresentation
bin1101000010110001001000…
…1000110100011010000000
31212210000010220010001212212
43100230102020310122000
53334431234211244130
650300131213241252
73010055210361416
oct320542210643200
955700126101785
1014341200103040
11462a083647118
121737506a93228
138004a5664445
143781912d72b6
1519d0aa5eee95
hexd0b12234680

14341200103040 has 64 divisors (see below), whose sum is σ = 34386166231560. Its totient is φ = 5719457759232.

The previous prime is 14341200103031. The next prime is 14341200103103. The reversal of 14341200103040 is 4030100214341.

It can be written as a sum of positive squares in 4 ways, for example, as 10046922017344 + 4294278085696 = 3169688^2 + 2072264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 14341200102997 and 14341200103015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33030797 + ... + 33462156.

Almost surely, 214341200103040 is an apocalyptic number.

14341200103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14341200103040 is an abundant number, since it is smaller than the sum of its proper divisors (20044966128520).

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

14341200103040 is an equidigital number, since it uses as much as digits as its factorization.

14341200103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66493309 (or 66493297 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14341200103040 its reverse (4030100214341), we get a palindrome (18371300317381).

The spelling of 14341200103040 in words is "fourteen trillion, three hundred forty-one billion, two hundred million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 337 640 674 1348 1685 2696 3370 5392 6740 10784 13480 21568 26960 43136 53920 107840 215680 66492953 132985906 265971812 332464765 531943624 664929530 1063887248 1329859060 2127774496 2659718120 4255548992 5319436240 8511097984 10638872480 21277744960 22408125161 42555489920 44816250322 89632500644 112040625805 179265001288 224081251610 358530002576 448162503220 717060005152 896325006440 1434120010304 1792650012880 2868240020608 3585300025760 7170600051520 14341200103040