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243045424125 = 3353714996863
BaseRepresentation
bin1110001001011010100…
…0101101101111111101
3212020100020211210112000
43202112220231233331
512440224112033000
6303353054532513
723362615006230
oct3422650555775
9766306753460
10243045424125
1194090895489
123b12b507139
1319bc42cb63a
14ba98d1b417
1564c74c4000
hex3896a2dbfd

243045424125 has 128 divisors (see below), whose sum is σ = 513976320000. Its totient is φ = 111016180800.

The previous prime is 243045424121. The next prime is 243045424147. The reversal of 243045424125 is 521424540342.

243045424125 is a `hidden beast` number, since 24 + 30 + 4 + 542 + 41 + 25 = 666.

It is not a de Polignac number, because 243045424125 - 22 = 243045424121 is a prime.

It is a super-2 number, since 2×2430454241252 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243045424125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243045424121) 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 127 ways as a sum of consecutive naturals, for example, 35410444 + ... + 35417306.

It is an arithmetic number, because the mean of its divisors is an integer number (4015440000).

Almost surely, 2243045424125 is an apocalyptic number.

243045424125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243045424125 is an abundant number, since it is smaller than the sum of its proper divisors (270930895875).

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

243045424125 is a wasteful number, since it uses less digits than its factorization.

243045424125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 243045424125 its reverse (521424540342), we get a palindrome (764469964467).

The spelling of 243045424125 in words is "two hundred forty-three billion, forty-five million, four hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 225 315 375 525 675 875 945 1125 1499 1575 2625 3375 4497 4725 6863 7495 7875 10493 13491 20589 22485 23625 31479 34315 37475 40473 48041 52465 61767 67455 94437 102945 112425 144123 157395 171575 185301 187375 202365 240205 262325 283311 308835 337275 432369 472185 514725 562125 720615 786975 857875 926505 1011825 1201025 1297107 1311625 1416555 1544175 1686375 2161845 2360925 2573625 3603075 3934875 4632525 5059125 6005125 6485535 7082775 7720875 10287637 10809225 11804625 18015375 23162625 30862911 32427675 35413875 51438185 54046125 72013459 92588733 154314555 162138375 216040377 257190925 277766199 360067295 462943665 648121131 771572775 1080201885 1285954625 1388830995 1800336475 1944363393 2314718325 3240605655 3857863875 5401009425 6944154975 9001682375 9721816965 11573591625 16203028275 27005047125 34720774875 48609084825 81015141375 243045424125