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194434159921225 = 5272127231372
BaseRepresentation
bin101100001101011000111011…
…000010001100100001001001
3221111102201112220120200011121
4230031120323002030201021
5200441102124414434400
61525305453040155241
755645255511250400
oct5415307302144111
9844381486520147
10194434159921225
1156a53078429754
1219982786908b21
1384650a7717873
143602940b04637
151772a2a93d21a
hexb0d63b08c849

194434159921225 has 81 divisors (see below), whose sum is σ = 282777243906933. Its totient is φ = 132234301301760.

The previous prime is 194434159921219. The next prime is 194434159921241. The reversal of 194434159921225 is 522129951434491.

It is a happy number.

The square root of 194434159921225 is 13943965.

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

It can be written as a sum of positive squares in 4 ways, for example, as 63405753849529 + 131028406071696 = 7962773^2 + 11446764^2 .

It is not a de Polignac number, because 194434159921225 - 29 = 194434159920713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61980922857 + ... + 61980925993.

Almost surely, 2194434159921225 is an apocalyptic number.

194434159921225 is the 13943965-th square number.

194434159921225 is the 6971983-rd centered octagonal number.

It is an amenable number.

194434159921225 is a deficient number, since it is larger than the sum of its proper divisors (88343083985708).

194434159921225 is an frugal number, since it uses more digits than its factorization.

194434159921225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6552 (or 3276 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 61.

The spelling of 194434159921225 in words is "one hundred ninety-four trillion, four hundred thirty-four billion, one hundred fifty-nine million, nine hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 127 175 245 635 889 1225 3137 3175 4445 6223 15685 16129 21959 22225 31115 78425 80645 109795 112903 153713 155575 398399 403225 548975 564515 768565 790321 1991995 2788793 2822575 3842825 3951605 9840769 9959975 13943965 19521551 19758025 49203845 50596673 68885383 69719825 97607755 246019225 252983365 344426915 354176711 482197681 488038775 1249777663 1264916825 1722134575 1770883555 2410988405 2479236977 6248888315 8748443641 8854417775 12054942025 12396184885 31244441575 43742218205 61239105487 61980924425 158721763201 218711091025 306195527435 793608816005 1111052342407 1530977637175 3968044080025 5555261712035 7777366396849 27776308560175 38886831984245 194434159921225