Search a number
-
+
144245224604442 = 231317307631756093
BaseRepresentation
bin100000110011000010110101…
…010111111000001100011010
3200220201201010201021212110110
4200303002311113320030122
5122401303204444320232
61230441201423225150
742245242064036013
oct4063026527701432
9626651121255413
10144245224604442
1141a63068907765
1214217835a481b6
136264360129870
142789712b2600a
1511a2238e23acc
hex8330b55f831a

144245224604442 has 128 divisors (see below), whose sum is σ = 330087086993664. Its totient is φ = 41628973068288.

The previous prime is 144245224604417. The next prime is 144245224604449. The reversal of 144245224604442 is 244406422542441.

It is a happy number.

It is a super-2 number, since 2×1442452246044422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144245224604391 and 144245224604400.

It is not an unprimeable number, because it can be changed into a prime (144245224604449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2571508948 + ... + 2571565040.

It is an arithmetic number, because the mean of its divisors is an integer number (2578805367138).

Almost surely, 2144245224604442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144245224604442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165043543496832).

144245224604442 is an abundant number, since it is smaller than the sum of its proper divisors (185841862389222).

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

144245224604442 is a wasteful number, since it uses less digits than its factorization.

144245224604442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62752.

The product of its (nonzero) digits is 7864320, while the sum is 48.

The spelling of 144245224604442 in words is "one hundred forty-four trillion, two hundred forty-five billion, two hundred twenty-four million, six hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 307 442 614 663 921 1326 1842 3991 5219 6317 7982 10438 11973 12634 15657 18951 23946 31314 37902 56093 67847 82121 107389 112186 135694 164242 168279 203541 214778 246363 322167 336558 407082 492726 644334 729209 953581 1396057 1458418 1907162 1939319 2187627 2792114 2860743 3878638 4188171 4375254 5721486 5817957 8376342 11635914 12396553 17220551 24793106 25211147 32968423 34441102 37189659 50422294 51661653 65936846 74379318 75633441 98905269 103323306 151266882 197810538 223867163 292749367 354339481 428589499 447734326 585498734 671601489 708678962 857178998 878248101 1063018443 1285768497 1343202978 1756496202 2126036886 2571536994 3805741771 4606413253 6023771177 7611483542 9212826506 11417225313 12047542354 13819239759 18071313531 22834450626 27638479518 36142627062 78309025301 108782220667 156618050602 217564441334 234927075903 326346662001 469854151806 652693324002 1414168868671 1849297751339 2828337737342 3698595502678 4242506606013 5547893254017 8485013212026 11095786508034 24040870767407 48081741534814 72122612302221 144245224604442