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944413141314448 = 241341737219210143
BaseRepresentation
bin1101011010111100000101000…
…1110011110010101110010000
311120211220000101121201210020201
43112233001101303302232100
51442241231103134030243
613144333224015144544
7402632412021262261
oct32657012163625620
94524800347653221
10944413141314448
11253a12400521553
1289b09716215154
13316c7a14362360
141292dba8ab4968
15742b546b6504d
hex35af051cf2b90

944413141314448 has 160 divisors (see below), whose sum is σ = 2046562121640960. Its totient is φ = 419366234234880.

The previous prime is 944413141314443. The next prime is 944413141314449. The reversal of 944413141314448 is 844413141314449.

944413141314448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (944413141314443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4494040065 + ... + 4494250207.

It is an arithmetic number, because the mean of its divisors is an integer number (12791013260256).

Almost surely, 2944413141314448 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 944413141314448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023281060820480).

944413141314448 is an abundant number, since it is smaller than the sum of its proper divisors (1102148980326512).

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

944413141314448 is a wasteful number, since it uses less digits than its factorization.

944413141314448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217497 (or 217491 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 55.

Subtracting from 944413141314448 its reverse (844413141314449), we obtain a palindrome (99999999999999).

The spelling of 944413141314448 in words is "nine hundred forty-four trillion, four hundred thirteen billion, one hundred forty-one million, three hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 41 52 73 82 104 146 164 208 292 328 533 584 656 949 1066 1168 1898 2132 2993 3796 4264 5986 7219 7592 8528 11972 14438 15184 23944 28876 38909 47888 57752 77818 93847 115504 155636 187694 210143 295979 311272 375388 420286 526987 591958 622544 750776 840572 1053974 1183916 1501552 1681144 2107948 2367832 2731859 3362288 3847727 4215896 4735664 5463718 6850831 7695454 8431792 8615863 10927436 13701662 15340439 15390908 17231726 21606467 21854872 27403324 30680878 30781816 34463452 43212934 43709744 54806648 61361756 61563632 68926904 86425868 109613296 112006219 122723512 137853808 172851736 199425707 224012438 245447024 280884071 345703472 398851414 448024876 561768142 628957999 797702828 896049752 1123536284 1257915998 1517022317 1595405656 1792099504 2247072568 2515831996 3034044634 3190811312 4494145136 5031663992 6068089268 8176453987 10063327984 12136178536 16352907974 19721290121 24272357072 32705815948 39442580242 62197914997 65411631896 78885160484 110742629141 124395829994 130823263792 157770320968 221485258282 248791659988 315540641936 442970516564 497583319976 808572894961 885941033128 995166639952 1439654178833 1617145789922 1771882066256 2879308357666 3234291579844 4540447794781 5758616715332 6468583159688 9080895589562 11517233430664 12937166319376 18161791179124 23034466861328 36323582358248 59025821332153 72647164716496 118051642664306 236103285328612 472206570657224 944413141314448