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243414301312 = 2771320897519
BaseRepresentation
bin1110001010110010011…
…1110111101010000000
3212021021221221200220001
43202230213313222000
512442003030120222
6303453433125344
723405014265020
oct3425447675200
9767257850801
10243414301312
1194260033366
123b212b59854
1319c52863b70
14bad1cdda80
1564e9a8ae27
hex38ac9f7a80

243414301312 has 64 divisors (see below), whose sum is σ = 596833171200. Its totient is φ = 96295762944.

The previous prime is 243414301303. The next prime is 243414301331. The reversal of 243414301312 is 213103414342.

It is a happy number.

243414301312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10437112 + ... + 10460407.

It is an arithmetic number, because the mean of its divisors is an integer number (9325518300).

Almost surely, 2243414301312 is an apocalyptic number.

It is an amenable number.

243414301312 is an abundant number, since it is smaller than the sum of its proper divisors (353418869888).

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

243414301312 is a wasteful number, since it uses less digits than its factorization.

243414301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20897553 (or 20897541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 243414301312 its reverse (213103414342), we get a palindrome (456517715654).

The spelling of 243414301312 in words is "two hundred forty-three billion, four hundred fourteen million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 20897519 41795038 83590076 146282633 167180152 271667747 292565266 334360304 543335494 585130532 668720608 1086670988 1170261064 1337441216 1901674229 2173341976 2340522128 2674882432 3803348458 4346683952 4681044256 7606696916 8693367904 9362088512 15213393832 17386735808 18724177024 30426787664 34773471616 60853575328 121707150656 243414301312