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243144023232 = 26311435726423
BaseRepresentation
bin1110001001110010000…
…0110101110011000000
3212020121010101011001210
43202130200311303000
512440424332220412
6303410540130120
723365223045205
oct3423440656300
9766533334053
10243144023232
119413150a450
123b158536940
1319c0b8715c6
14baa8065cac
1564d0e9d83c
hex389c835cc0

243144023232 has 112 divisors (see below), whose sum is σ = 701989708032. Its totient is φ = 73660308480.

The previous prime is 243144023179. The next prime is 243144023257. The reversal of 243144023232 is 232320441342.

It is a self number, because there is not a number n which added to its sum of digits gives 243144023232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9188773 + ... + 9215195.

Almost surely, 2243144023232 is an apocalyptic number.

243144023232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243144023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350994854016).

243144023232 is an abundant number, since it is smaller than the sum of its proper divisors (458845684800).

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

243144023232 is a wasteful number, since it uses less digits than its factorization.

243144023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30806 (or 30796 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 243144023232 its reverse (232320441342), we get a palindrome (475464464574).

The spelling of 243144023232 in words is "two hundred forty-three billion, one hundred forty-four million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4357 8714 13071 17428 26142 26423 34856 47927 52284 52846 69712 79269 95854 104568 105692 139424 143781 158538 191708 209136 211384 278848 287562 290653 317076 383416 418272 422768 575124 581306 634152 766832 836544 845536 871959 1150248 1162612 1268304 1533664 1691072 1743918 2300496 2325224 2536608 3067328 3487836 4600992 4650448 5073216 6975672 9201984 9300896 13951344 18601792 27902688 55805376 115125011 230250022 345375033 460500044 690750066 921000088 1266375121 1381500132 1842000176 2532750242 2763000264 3684000352 3799125363 5065500484 5526000528 7368000704 7598250726 10131000968 11052001056 15196501452 20262001936 22104002112 30393002904 40524003872 60786005808 81048007744 121572011616 243144023232