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14002210031200 = 2552171029574267
BaseRepresentation
bin1100101111000010010011…
…0000010100011001100000
31211120121011002111011121221
43023300210300110121200
53313403011231444300
645440305415424424
72643424550326156
oct313604460243140
954517132434557
1014002210031200
114509338586856
1216a187b985114
137a7530a88411
143659d3b9b3d6
15194369e4c31a
hexcbc24c14660

14002210031200 has 72 divisors (see below), whose sum is σ = 36193653817272. Its totient is φ = 5271420241920.

The previous prime is 14002210031197. The next prime is 14002210031239. The reversal of 14002210031200 is 213001220041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514773534 + ... + 514800733.

It is an arithmetic number, because the mean of its divisors is an integer number (502689636351).

Almost surely, 214002210031200 is an apocalyptic number.

14002210031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002210031200 is an abundant number, since it is smaller than the sum of its proper divisors (22191443786072).

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

14002210031200 is a wasteful number, since it uses less digits than its factorization.

14002210031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029574304 (or 1029574291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14002210031200 its reverse (213001220041), we get a palindrome (14215211251241).

The spelling of 14002210031200 in words is "fourteen trillion, two billion, two hundred ten million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 1029574267 2059148534 4118297068 5147871335 8236594136 10295742670 16473188272 17502762539 20591485340 25739356675 32946376544 35005525078 41182970680 51478713350 70011050156 82365941360 87513812695 102957426700 140022100312 164731882720 175027625390 205914853400 280044200624 350055250780 411829706800 437569063475 560088401248 700110501560 823659413600 875138126950 1400221003120 1750276253900 2800442006240 3500552507800 7001105015600 14002210031200