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8097143420304 = 2434790432
BaseRepresentation
bin111010111010100001101…
…0110110111010110010000
31001200002010211212110110000
41311311003112313112100
52030130422203422204
625115435404410000
71463666522316111
oct165650326672620
931602124773400
108097143420304
112641a85406774
12aa9344b46900
13469732656453
141ddc9218c208
15e095a4db039
hex75d435b7590

8097143420304 has 75 divisors (see below), whose sum is σ = 23435778723643. Its totient is φ = 2699013660192.

The previous prime is 8097143420299. The next prime is 8097143420323. The reversal of 8097143420304 is 4030243417908.

The square root of 8097143420304 is 2845548.

It is a perfect power (a square), and thus also a powerful number.

8097143420304 is a `hidden beast` number, since 8 + 0 + 9 + 7 + 1 + 434 + 203 + 0 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8097143420304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 102400207 + ... + 102479249.

Almost surely, 28097143420304 is an apocalyptic number.

8097143420304 is the 2845548-th square number.

It is an amenable number.

8097143420304 is an abundant number, since it is smaller than the sum of its proper divisors (15338635303339).

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

8097143420304 is an frugal number, since it uses more digits than its factorization.

8097143420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158106 (or 79048 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 8097143420304 in words is "eight trillion, ninety-seven billion, one hundred forty-three million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 79043 158086 237129 316172 474258 632344 711387 948516 1264688 1422774 1897032 2134161 2845548 3794064 4268322 5691096 6402483 8536644 11382192 12804966 17073288 25609932 34146576 51219864 102439728 6247795849 12495591698 18743387547 24991183396 37486775094 49982366792 56230162641 74973550188 99964733584 112460325282 149947100376 168690487923 224920650564 299894200752 337380975846 449841301128 506071463769 674761951692 899682602256 1012142927538 1349523903384 2024285855076 2699047806768 4048571710152 8097143420304