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243315001350 = 232527118674079
BaseRepresentation
bin1110001010011010110…
…1000100100000000110
3212021001001002201221200
43202212231010200012
512441302120020400
6303435524523330
723402400246531
oct3424655044006
9767031081850
10243315001350
1194209a7a883
123b1a5850546
1319c38106ba5
14bac2a51a18
1564e0ec3b00
hex38a6b44806

243315001350 has 144 divisors (see below), whose sum is σ = 663431109120. Its totient is φ = 63920203200.

The previous prime is 243315001343. The next prime is 243315001379. The reversal of 243315001350 is 53100513342.

243315001350 is a `hidden beast` number, since 24 + 3 + 3 + 1 + 500 + 135 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59648611 + ... + 59652689.

It is an arithmetic number, because the mean of its divisors is an integer number (4607160480).

Almost surely, 2243315001350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243315001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331715554560).

243315001350 is an abundant number, since it is smaller than the sum of its proper divisors (420116107770).

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

243315001350 is a wasteful number, since it uses less digits than its factorization.

243315001350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6035 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 243315001350 its reverse (53100513342), we get a palindrome (296415514692).

The spelling of 243315001350 in words is "two hundred forty-three billion, three hundred fifteen million, one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 426 450 639 710 1065 1278 1775 1867 2130 3195 3550 3734 4079 5325 5601 6390 8158 9335 10650 11202 12237 15975 16803 18670 20395 24474 28005 31950 33606 36711 40790 46675 56010 61185 73422 84015 93350 101975 122370 132557 140025 168030 183555 203950 265114 280050 289609 305925 367110 397671 420075 579218 611850 662785 795342 840150 868827 917775 1193013 1325570 1448045 1737654 1835550 1988355 2386026 2606481 2896090 3313925 3976710 4344135 5212962 5965065 6627850 7240225 7615493 8688270 9941775 11930130 13032405 14480450 15230986 19883550 21720675 22846479 26064810 29825325 38077465 43441350 45692958 59650650 65162025 68539437 76154930 114232395 130324050 137078874 190387325 228464790 342697185 380774650 540700003 571161975 685394370 1081400006 1142323950 1622100009 1713485925 2703500015 3244200018 3426971850 4866300027 5407000030 8110500045 9732600054 13517500075 16221000090 24331500135 27035000150 40552500225 48663000270 81105000450 121657500675 243315001350