Search a number
-
+
524214412425 = 3252112376112101
BaseRepresentation
bin1111010000011011001…
…11010010010010001001
31212010002101220022111100
413220031213102102021
532042042342144200
61040453142052013
752605343662054
oct7501547222211
91763071808440
10524214412425
111923554079a0
128571a41a009
133a5829a9472
141b52d113a9b
15d981878d00
hex7a0d9d2489

524214412425 has 144 divisors (see below), whose sum is σ = 1070310174336. Its totient is φ = 242774400000.

The previous prime is 524214412411. The next prime is 524214412451.

524214412425 is a `hidden beast` number, since 5 + 2 + 4 + 214 + 4 + 12 + 425 = 666.

524214412425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 524214412425 - 26 = 524214412361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 524214412425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43313875 + ... + 43325975.

It is an arithmetic number, because the mean of its divisors is an integer number (7432709544).

Almost surely, 2524214412425 is an apocalyptic number.

524214412425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

524214412425 is an abundant number, since it is smaller than the sum of its proper divisors (546095761911).

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

524214412425 is a wasteful number, since it uses less digits than its factorization.

524214412425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12912 (or 12904 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 524214 and 412425, that added together give a palindrome (936639).

The spelling of 524214412425 in words is "five hundred twenty-four billion, two hundred fourteen million, four hundred twelve thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 207 225 253 275 345 495 575 759 761 825 1035 1265 1725 2277 2283 2475 3795 3805 5175 6325 6849 8371 11385 11415 12101 17503 18975 19025 25113 34245 36303 41855 52509 56925 57075 60505 75339 87515 108909 125565 133111 157527 171225 181515 192533 209275 262545 278323 302525 376695 399333 437575 544545 577599 627825 665555 787635 834969 907575 962665 1197999 1312725 1391615 1732797 1883475 1996665 2504907 2722725 2887995 3061553 3327775 3938175 4174845 4813325 5989995 6958075 8663985 9184659 9208861 9983325 12524535 14439975 15307765 20874225 27553977 27626583 29949975 43319925 45923295 46044305 62622675 76538825 82879749 101297471 137769885 138132915 211803803 229616475 230221525 303892413 414398745 506487355 635411409 688849425 690664575 911677239 1059019015 1519462065 1906234227 2071993725 2329841833 2532436775 3177057045 4558386195 5295095075 6989525499 7597310325 9531171135 11649209165 15885285225 20968576497 22791930975 34947627495 47655855675 58246045825 104842882485 174738137475 524214412425