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243422142440 = 23547373347131
BaseRepresentation
bin1110001010110100010…
…1110001111111101000
3212021022111201001220012
43202231011301333220
512442012032024230
6303454313151052
723405141033321
oct3425505617750
9767274631805
10243422142440
11942644a9534
123b2156bb488
1319c5437ab99
14bad2d81448
1564ea5d9395
hex38ad171fe8

243422142440 has 64 divisors (see below), whose sum is σ = 560854229760. Its totient is φ = 95041416960.

The previous prime is 243422142419. The next prime is 243422142461. The reversal of 243422142440 is 44241224342.

It is an interprime number because it is at equal distance from previous prime (243422142419) and next prime (243422142461).

It is a junction number, because it is equal to n+sod(n) for n = 243422142397 and 243422142406.

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, 527675 + ... + 874805.

It is an arithmetic number, because the mean of its divisors is an integer number (8763347340).

Almost surely, 2243422142440 is an apocalyptic number.

243422142440 is a gapful number since it is divisible by the number (20) 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 243422142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280427114880).

243422142440 is an abundant number, since it is smaller than the sum of its proper divisors (317432087320).

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

243422142440 is a wasteful number, since it uses less digits than its factorization.

243422142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347562 (or 347558 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 243422142440 its reverse (44241224342), we get a palindrome (287663366782).

The spelling of 243422142440 in words is "two hundred forty-three billion, four hundred twenty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 373 376 470 746 940 1492 1865 1880 2984 3730 7460 14920 17531 35062 70124 87655 140248 175310 347131 350620 694262 701240 1388524 1735655 2777048 3471310 6942620 13885240 16315157 32630314 65260628 81575785 129479863 130521256 163151570 258959726 326303140 517919452 647399315 652606280 1035838904 1294798630 2589597260 5179194520 6085553561 12171107122 24342214244 30427767805 48684428488 60855535610 121711071220 243422142440