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14001223214200 = 2352239473214091
BaseRepresentation
bin1100101110111110100111…
…1011111010010001111000
31211120111121022121200012011
43023233221323322101320
53313344001120323300
645440023444455304
72643361235452525
oct313575173722170
954514538550164
1014001223214200
114508981547612
1216a16453aa534
137a74044b5831
1436593cac214c
1519430d4c1eba
hexcbbe9efa478

14001223214200 has 96 divisors (see below), whose sum is σ = 34004064850560. Its totient is φ = 5351331286400.

The previous prime is 14001223214191. The next prime is 14001223214243. The reversal of 14001223214200 is 241232210041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2749155 + ... + 5963245.

It is an arithmetic number, because the mean of its divisors is an integer number (354209008860).

Almost surely, 214001223214200 is an apocalyptic number.

14001223214200 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 14001223214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17002032425280).

14001223214200 is an abundant number, since it is smaller than the sum of its proper divisors (20002841636360).

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

14001223214200 is a wasteful number, since it uses less digits than its factorization.

14001223214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215077 (or 3215068 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14001223214200 its reverse (241232210041), we get a palindrome (14242455424241).

The spelling of 14001223214200 in words is "fourteen trillion, one billion, two hundred twenty-three million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 947 1150 1894 2300 3788 4600 4735 7576 9470 18940 21781 23675 37880 43562 47350 87124 94700 108905 174248 189400 217810 435620 544525 871240 1089050 2178100 3214091 4356200 6428182 12856364 16070455 25712728 32140910 64281820 73924093 80352275 128563640 147848186 160704550 295696372 321409100 369620465 591392744 642818200 739240930 1478481860 1848102325 2956963720 3043744177 3696204650 6087488354 7392409300 12174976708 14784818600 15218720885 24349953416 30437441770 60874883540 70006116071 76093604425 121749767080 140012232142 152187208850 280024464284 304374417700 350030580355 560048928568 608748835400 700061160710 1400122321420 1750152901775 2800244642840 3500305803550 7000611607100 14001223214200