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214131455341420 = 2251711313740682023
BaseRepresentation
bin110000101100000001011101…
…010101001011001101101100
31001002011202201021222021001211
4300230001131111023031230
5211031312210031411140
62035230344344444204
763050326036650421
oct6054013525131554
91032152637867054
10214131455341420
1162257705165671
122002413b179664
139263681771806
143ac4036957d48
1519b50b59782ea
hexc2c05d54b36c

214131455341420 has 96 divisors (see below), whose sum is σ = 483847258785408. Its totient is φ = 79317575565312.

The previous prime is 214131455341411. The next prime is 214131455341429. The reversal of 214131455341420 is 24143554131412.

It is an interprime number because it is at equal distance from previous prime (214131455341411) and next prime (214131455341429).

It is not an unprimeable number, because it can be changed into a prime (214131455341429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15077472 + ... + 25604551.

It is an arithmetic number, because the mean of its divisors is an integer number (5040075612348).

Almost surely, 2214131455341420 is an apocalyptic number.

214131455341420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214131455341420 is an abundant number, since it is smaller than the sum of its proper divisors (269715803443988).

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

214131455341420 is a wasteful number, since it uses less digits than its factorization.

214131455341420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40682299 (or 40682297 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 214131455341420 in words is "two hundred fourteen trillion, one hundred thirty-one billion, four hundred fifty-five million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 137 170 226 274 340 452 548 565 685 1130 1370 1921 2260 2329 2740 3842 4658 7684 9316 9605 11645 15481 19210 23290 30962 38420 46580 61924 77405 154810 263177 309620 526354 1052708 1315885 2631770 5263540 40682023 81364046 162728092 203410115 406820230 691594391 813640460 1383188782 2766377564 3457971955 4597068599 5573437151 6915943910 9194137198 11146874302 13831887820 18388274396 22293748604 22985342995 27867185755 45970685990 55734371510 78150166183 91941371980 94748431567 111468743020 156300332366 189496863134 312600664732 378993726268 390750830915 473742157835 629798398063 781501661830 947484315670 1259596796126 1563003323660 1894968631340 2519193592252 3148991990315 6297983980630 10706572767071 12595967961260 21413145534142 42826291068284 53532863835355 107065727670710 214131455341420