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431540002727056 = 241773207731046237
BaseRepresentation
bin110001000011110111011110…
…0100100011010010010010000
32002120221211011202210002200001
41202013232330210122102100
5423030322411144231211
64125450423533135344
7156616510362456526
oct14207567444322220
92076854152702601
10431540002727056
111155580a6350a43
124049741592a554
13156a408089c1a2
14787c90cd3c316
1534d552c126ac1
hex1887bbc91a490

431540002727056 has 80 divisors (see below), whose sum is σ = 897462964769904. Its totient is φ = 200285929193472.

The previous prime is 431540002727023. The next prime is 431540002727059. The reversal of 431540002727056 is 650727200045134.

It can be written as a sum of positive squares in 8 ways, for example, as 82221659923456 + 349318342803600 = 9067616^2 + 18690060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 431540002726997 and 431540002727015.

It is not an unprimeable number, because it can be changed into a prime (431540002727059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411945570 + ... + 412991806.

Almost surely, 2431540002727056 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 431540002727056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448731482384952).

431540002727056 is an abundant number, since it is smaller than the sum of its proper divisors (465922962042848).

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

431540002727056 is a wasteful number, since it uses less digits than its factorization.

431540002727056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067108 (or 1067102 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 431540002727056 in words is "four hundred thirty-one trillion, five hundred forty billion, two million, seven hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 584 1168 1241 2482 4964 9928 19856 20773 41546 83092 166184 332368 353141 706282 1046237 1412564 1516429 2092474 2825128 3032858 4184948 5650256 6065716 8369896 12131432 16739792 17786029 24262864 25779293 35572058 51558586 71144116 76375301 103117172 142288232 152750602 206234344 284576464 305501204 412468688 611002408 1222004816 1298380117 2596760234 5193520468 10387040936 20774081872 21733481201 43466962402 86933924804 173867849608 347735699216 369469180417 738938360834 1477876721668 1586544127673 2955753443336 3173088255346 5911506886672 6346176510692 12692353021384 25384706042768 26971250170441 53942500340882 107885000681764 215770001363528 431540002727056