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353410222443344 = 241179222111444341
BaseRepresentation
bin101000001011011001011101…
…0110001001100101101010000
31201100022200120001021102110122
41100112302322301030231100
5332310233113421141334
63251350225335445412
7134304021524542163
oct12026627261145520
91640280501242418
10353410222443344
11a2675485202670
1233779328526868
1312227596a98061
14633b208a03ada
152acd026ca832e
hex1416cbac4cb50

353410222443344 has 80 divisors (see below), whose sum is σ = 756776799018240. Its totient is φ = 158536153152000.

The previous prime is 353410222443301. The next prime is 353410222443379. The reversal of 353410222443344 is 443344222014353.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 353410222443295 and 353410222443304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25158614 + ... + 36602954.

It is an arithmetic number, because the mean of its divisors is an integer number (9459709987728).

Almost surely, 2353410222443344 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 353410222443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378388399509120).

353410222443344 is an abundant number, since it is smaller than the sum of its proper divisors (403366576574896).

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

353410222443344 is a wasteful number, since it uses less digits than its factorization.

353410222443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11446660 (or 11446654 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 44.

Adding to 353410222443344 its reverse (443344222014353), we get a palindrome (796754444457697).

The spelling of 353410222443344 in words is "three hundred fifty-three trillion, four hundred ten billion, two hundred twenty-two million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 2221 3476 4442 6952 8884 13904 17768 24431 35536 48862 97724 175459 195448 350918 390896 701836 1403672 1930049 2807344 3860098 7720196 11444341 15440392 22888682 30880784 45777364 91554728 125887751 183109456 251775502 503551004 904102939 1007102008 1808205878 2014204016 3616411756 7232823512 9945132329 14465647024 19890264658 25417881361 39780529316 50835762722 79561058632 101671525444 159122117264 203343050888 279596694971 406686101776 559193389942 1118386779884 2008012627519 2236773559768 4016025255038 4473547119536 8032050510076 16064101020152 22088138902709 32128202040304 44176277805418 88352555610836 176705111221672 353410222443344