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14310214041300 = 22352591789451921
BaseRepresentation
bin1101000000111101101100…
…1110010111111011010100
31212200001011102101001002120
43100033123032113323110
53333424304243310200
650234004354335540
73004610305243122
oct320173316277324
955601142331076
1014310214041300
114617a2283a331
1217314b988a5b0
137ca5a7c02478
14376891d2c912
1519c3951499a0
hexd03db397ed4

14310214041300 has 144 divisors (see below), whose sum is σ = 42129614990400. Its totient is φ = 3749272934400.

The previous prime is 14310214041293. The next prime is 14310214041307. The reversal of 14310214041300 is 314041201341.

It is an interprime number because it is at equal distance from previous prime (14310214041293) and next prime (14310214041307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14310214041307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31439340 + ... + 31891260.

Almost surely, 214310214041300 is an apocalyptic number.

14310214041300 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 14310214041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064807495200).

14310214041300 is an abundant number, since it is smaller than the sum of its proper divisors (27819400949100).

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

14310214041300 is a wasteful number, since it uses less digits than its factorization.

14310214041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453786 (or 453779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14310214041300 its reverse (314041201341), we get a palindrome (14624255242641).

The spelling of 14310214041300 in words is "fourteen trillion, three hundred ten billion, two hundred fourteen million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 1789 2950 3540 3578 4425 5367 5900 7156 8850 8945 10734 17700 17890 21468 26835 35780 44725 53670 89450 105551 107340 134175 178900 211102 268350 316653 422204 451921 527755 536700 633306 903842 1055510 1266612 1355763 1583265 1807684 2111020 2259605 2638775 2711526 3166530 4519210 5277550 5423052 6333060 6778815 7916325 9038420 10555100 11298025 13557630 15832650 22596050 26663339 27115260 31665300 33894075 45192100 53326678 67788150 79990017 106653356 133316695 135576300 159980034 266633390 319960068 399950085 533266780 666583475 799900170 808486669 1333166950 1599800340 1616973338 1999750425 2425460007 2666333900 3233946676 3999500850 4042433345 4850920014 7999001700 8084866690 9701840028 12127300035 16169733380 20212166725 24254600070 40424333450 47700713471 48509200140 60636500175 80848666900 95401426942 121273000350 143102140413 190802853884 238503567355 242546000700 286204280826 477007134710 572408561652 715510702065 954014269420 1192517836775 1431021404130 2385035673550 2862042808260 3577553510325 4770071347100 7155107020650 14310214041300