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214036125525404 = 2272131913591225067
BaseRepresentation
bin110000101010101000101011…
…001110110010010110011100
31001001211122122121002211212022
4300222220223032302112130
5211023231441113303104
62035114501051555312
763040412501615600
oct6052505316622634
91031748577084768
10214036125525404
1162220235a48956
122000977545bb38
13925769b683860
143abd591c63500
1519b2886746bbe
hexc2aa2b3b259c

214036125525404 has 144 divisors (see below), whose sum is σ = 473004047093760. Its totient is φ = 83995621234560.

The previous prime is 214036125525373. The next prime is 214036125525427. The reversal of 214036125525404 is 404525521630412.

It is a super-2 number, since 2×2140361255254042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174101279 + ... + 175326345.

It is an arithmetic number, because the mean of its divisors is an integer number (3284750327040).

Almost surely, 2214036125525404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214036125525404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236502023546880).

214036125525404 is an abundant number, since it is smaller than the sum of its proper divisors (258967921568356).

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

214036125525404 is a wasteful number, since it uses less digits than its factorization.

214036125525404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225648 (or 1225639 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 214036125525404 in words is "two hundred fourteen trillion, thirty-six billion, one hundred twenty-five million, five hundred twenty-five thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 191 196 359 364 382 637 718 764 1274 1337 1436 2483 2513 2548 2674 4667 4966 5026 5348 9334 9359 9932 10052 17381 17591 18668 18718 32669 34762 35182 37436 65338 68569 69524 70364 121667 130676 137138 228683 243334 274276 457366 479983 486668 891397 914732 959966 1225067 1782794 1919932 2450134 3359881 3565588 4900268 6239779 6719762 8575469 12479558 13439524 15925871 17150938 24959116 31851742 34301876 43678453 60028283 63703484 87356906 111481097 120056566 174713812 222962194 233987797 240113132 439799053 445924388 467975594 780367679 879598106 935951188 1560735358 1637914579 1759196212 3041841361 3078593371 3121470716 3275829158 5717387689 6083682722 6157186742 6551658316 11434775378 11465402053 12167365444 12314373484 21292889527 21550153597 22869550756 22930804106 40021713823 42585779054 43100307194 45861608212 80043427646 84001619123 85171558108 86200614388 149050226689 160086855292 168003238246 280151996761 298100453378 336006476492 560303993522 588011333861 596200906756 1092021048599 1120607987044 1176022667722 2184042097198 2352045335444 4116079337027 4368084194396 7644147340193 8232158674054 15288294680386 16464317348108 30576589360772 53509031381351 107018062762702 214036125525404