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243142301408 = 25199712233371
BaseRepresentation
bin1110001001110001101…
…0010001011011100000
3212020121000010200011112
43202130122101123200
512440423412121113
6303410435202452
723365202314256
oct3423432213340
9766530120145
10243142301408
1194130543856
123b157a46428
1319c0b3ba986
14baa7b385d6
1564d0c5d5a8
hex389c6916e0

243142301408 has 96 divisors (see below), whose sum is σ = 509642461440. Its totient is φ = 113858334720.

The previous prime is 243142301401. The next prime is 243142301411. The reversal of 243142301408 is 804103241342.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243142301401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72125963 + ... + 72129333.

It is an arithmetic number, because the mean of its divisors is an integer number (5308775640).

Almost surely, 2243142301408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243142301408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254821230720).

243142301408 is an abundant number, since it is smaller than the sum of its proper divisors (266500160032).

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

243142301408 is a wasteful number, since it uses less digits than its factorization.

243142301408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 243142301408 in words is "two hundred forty-three billion, one hundred forty-two million, three hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 97 152 194 304 388 608 776 1223 1552 1843 2446 3104 3371 3686 4892 6742 7372 9784 13484 14744 19568 23237 26968 29488 39136 46474 53936 58976 64049 92948 107872 118631 128098 185896 237262 256196 326987 371792 474524 512392 653974 743584 949048 1024784 1307948 1898096 2049568 2253989 2615896 3796192 4122733 4507978 5231792 6212753 8245466 9015956 10463584 12425506 16490932 18031912 24851012 32981864 36063824 49702024 65963728 72127648 78331927 99404048 131927456 156663854 198808096 313327708 399905101 626655416 799810202 1253310832 1599620404 2506621664 3199240808 6398481616 7598196919 12796963232 15196393838 30392787676 60785575352 121571150704 243142301408