Search a number
-
+
144541355260100 = 225261113209692957
BaseRepresentation
bin100000110111010110101000…
…001000101011100011000100
3200221210000111120100211121212
4200313112220020223203010
5122421131143421310400
61231225214255030552
742305524346056151
oct4067265010534304
9627700446324555
10144541355260100
114206770a94a317
12142650bb50b458
136286264421ab6
142799ba6005228
1511a9cbba6a335
hex8375a822b8c4

144541355260100 has 72 divisors (see below), whose sum is σ = 321617832490248. Its totient is φ = 56365466572800.

The previous prime is 144541355260063. The next prime is 144541355260121. The reversal of 144541355260100 is 1062553145441.

It can be written as a sum of positive squares in 12 ways, for example, as 137148785790916 + 7392569469184 = 11711054^2 + 2718928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104157179 + ... + 105535778.

Almost surely, 2144541355260100 is an apocalyptic number.

144541355260100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144541355260100 is an abundant number, since it is smaller than the sum of its proper divisors (177076477230148).

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

144541355260100 is a wasteful number, since it uses less digits than its factorization.

144541355260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209693145 (or 209693138 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 144541355260100 in words is "one hundred forty-four trillion, five hundred forty-one billion, three hundred fifty-five million, two hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 113 122 226 244 305 452 565 610 1130 1220 1525 2260 2825 3050 5650 6100 6893 11300 13786 27572 34465 68930 137860 172325 344650 689300 209692957 419385914 838771828 1048464785 2096929570 4193859140 5242323925 10484647850 12791270377 20969295700 23695304141 25582540754 47390608282 51165081508 63956351885 94781216564 118476520705 127912703770 236953041410 255825407540 319781759425 473906082820 592382603525 639563518850 1184765207050 1279127037700 1445413552601 2369530414100 2890827105202 5781654210404 7227067763005 14454135526010 28908271052020 36135338815025 72270677630050 144541355260100