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214034340300 = 2235211371752943
BaseRepresentation
bin1100011101010101110…
…0001101100111001100
3202110110102101001002220
43013111130031213030
512001320242342200
6242154230415340
721314653606014
oct3072534154714
9673412331086
10214034340300
1182853894850
1235593801550
131724ca92751
14a505d76c44
15587a5dc4a0
hex31d570d9cc

214034340300 has 144 divisors (see below), whose sum is σ = 693829258752. Its totient is φ = 50484729600.

The previous prime is 214034340293. The next prime is 214034340341. The reversal of 214034340300 is 3043430412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754372 + ... + 998571.

Almost surely, 2214034340300 is an apocalyptic number.

214034340300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214034340300 is an abundant number, since it is smaller than the sum of its proper divisors (479794918452).

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

214034340300 is a wasteful number, since it uses less digits than its factorization.

214034340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753008 (or 1753001 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 214034340300 its reverse (3043430412), we get a palindrome (217077770712).

The spelling of 214034340300 in words is "two hundred fourteen billion, thirty-four million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 1752943 3505886 5258829 7011772 8764715 10517658 17529430 19282373 21035316 26294145 35058860 38564746 43823575 52588290 57847119 64858891 77129492 87647150 96411865 105176580 115694238 129717782 131470725 175294300 192823730 194576673 231388476 259435564 262941450 289235595 324294455 385647460 389153346 482059325 525882900 578471190 648588910 713447801 778306692 964118650 972883365 1156942380 1297177820 1426895602 1446177975 1621472275 1928237300 1945766730 2140343403 2853791204 2892355950 3242944550 3567239005 3891533460 4280686806 4864416825 5784711900 6485889100 7134478010 8561373612 9728833650 10701717015 14268956020 17836195025 19457667300 21403434030 35672390050 42806868060 53508585075 71344780100 107017170150 214034340300