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14001030034340 = 22517317589175039
BaseRepresentation
bin1100101110111101111001…
…1010111111001110100100
31211120111002212010010020112
43023233132122333032210
53313343102142044330
645435552344152152
72643353401452116
oct313573632771644
954514085103215
1014001030034340
1145088924a2738
1216a15b0768658
137a73a347891b
143659211973b6
151942eb563795
hexcbbde6bf3a4

14001030034340 has 96 divisors (see below), whose sum is σ = 32140368691200. Its totient is φ = 5100243240960.

The previous prime is 14001030034273. The next prime is 14001030034363. The reversal of 14001030034340 is 4343003010041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79900541 + ... + 80075579.

It is an arithmetic number, because the mean of its divisors is an integer number (334795507200).

Almost surely, 214001030034340 is an apocalyptic number.

14001030034340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14001030034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070184345600).

14001030034340 is an abundant number, since it is smaller than the sum of its proper divisors (18139338656860).

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

14001030034340 is a wasteful number, since it uses less digits than its factorization.

14001030034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182685 (or 182683 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 14001030034340 its reverse (4343003010041), we get a palindrome (18344033044381).

The spelling of 14001030034340 in words is "fourteen trillion, one billion, thirty million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 7589 10540 15178 30356 37945 75890 129013 151780 175039 235259 258026 350078 470518 516052 645065 700156 875195 941036 1176295 1290130 1750390 2352590 2580260 2975663 3500780 3999403 4705180 5426209 5951326 7998806 10852418 11902652 14878315 15997612 19997015 21704836 27131045 29756630 39994030 54262090 59513260 79988060 92245553 108524180 184491106 368982212 461227765 922455530 1328370971 1844911060 2656741942 5313483884 6641854855 13283709710 22582306507 26567419420 41179500101 45164613014 82359000202 90329226028 112911532535 164718000404 205897500505 225823065070 411795001010 451646130140 700051501717 823590002020 1400103003434 2800206006868 3500257508585 7000515017170 14001030034340