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231514530515352 = 233272127516708917
BaseRepresentation
bin110100101000111110101101…
…010110100000100110011000
31010100201120110200200121121100
4310220332231112200212120
5220321113224302442402
62140220150153511400
766523241614001100
oct6450765526404630
91110646420617540
10231514530515352
11678498409a4a67
1221b71097a12560
139c2495a3010b6
144125512370200
151bb7356bda71c
hexd28fad5a0998

231514530515352 has 144 divisors (see below), whose sum is σ = 735132111816960. Its totient is φ = 65626166003328.

The previous prime is 231514530515351. The next prime is 231514530515369. The reversal of 231514530515352 is 253515035415132.

231514530515352 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 14 + 53 + 0 + 51 + 535 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231514530515298 and 231514530515307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231514530515351) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 257906403 + ... + 258802514.

It is an arithmetic number, because the mean of its divisors is an integer number (5105084109840).

Almost surely, 2231514530515352 is an apocalyptic number.

It is an amenable number.

231514530515352 is an abundant number, since it is smaller than the sum of its proper divisors (503617581301608).

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

231514530515352 is a wasteful number, since it uses less digits than its factorization.

231514530515352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516709070 (or 516709056 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 231514530515352 in words is "two hundred thirty-one trillion, five hundred fourteen billion, five hundred thirty million, five hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 127 147 168 196 252 254 294 381 392 441 504 508 588 762 882 889 1016 1143 1176 1524 1764 1778 2286 2667 3048 3528 3556 4572 5334 6223 7112 8001 9144 10668 12446 16002 18669 21336 24892 32004 37338 49784 56007 64008 74676 112014 149352 224028 448056 516708917 1033417834 1550126751 2066835668 3100253502 3616962419 4133671336 4650380253 6200507004 7233924838 9300760506 10850887257 12401014008 14467849676 18601521012 21701774514 25318736933 28935699352 32552661771 37203042024 43403549028 50637473866 65105323542 65622032459 75956210799 86807098056 101274947732 130210647084 131244064918 151912421598 196866097377 202549895464 227868632397 260421294168 262488129836 303824843196 393732194754 455737264794 459354227213 524976259672 590598292131 607649686392 787464389508 911474529588 918708454426 1181196584262 1378062681639 1574928779016 1822949059176 1837416908852 2362393168524 2756125363278 3215479590491 3674833817704 4134188044917 4724786337048 5512250726556 6430959180982 8268376089834 9646438771473 11024501453112 12861918361964 16536752179668 19292877542946 25723836723928 28939316314419 33073504359336 38585755085892 57878632628838 77171510171784 115757265257676 231514530515352