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10403344020342 = 23713101589731991
BaseRepresentation
bin1001011101100011011110…
…0111111111001101110110
31100211112211221011110100110
42113120313213333031312
52330422022032122332
634043121423123450
72122421364061620
oct227306747771566
940745757143313
1010403344020342
113351040537399
1212002a2a43586
135a605351c610
1427d74b489c10
151309351d74cc
hex976379ff376

10403344020342 has 128 divisors (see below), whose sum is σ = 25866972407808. Its totient is φ = 2716027776000.

The previous prime is 10403344020331. The next prime is 10403344020347. The reversal of 10403344020342 is 24302044330401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403344020347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325179967 + ... + 325211957.

It is an arithmetic number, because the mean of its divisors is an integer number (202085721936).

Almost surely, 210403344020342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403344020342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933486203904).

10403344020342 is an abundant number, since it is smaller than the sum of its proper divisors (15463628387466).

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

10403344020342 is a wasteful number, since it uses less digits than its factorization.

10403344020342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38014.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10403344020342 its reverse (24302044330401), we get a palindrome (34705388350743).

The spelling of 10403344020342 in words is "ten trillion, four hundred three billion, three hundred forty-four million, twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 546 606 707 1313 1414 2121 2626 3939 4242 5897 7878 9191 11794 17691 18382 27573 31991 35382 41279 55146 63982 76661 82558 95973 123837 153322 191946 223937 229983 247674 415883 447874 459966 536627 595597 671811 831766 1073254 1191194 1247649 1343622 1609881 1786791 2495298 2911181 3219762 3231091 3573582 4169179 5822362 6462182 7742761 8338358 8733543 9693273 12507537 15485522 17467086 19386546 22617637 23228283 25015074 42004183 45235274 46456566 54199327 67852911 84008366 108398654 126012549 135705822 162597981 188650927 252025098 294029281 325195962 377301854 565952781 588058562 882087843 1131905562 1320556489 1764175686 2452462051 2641112978 3961669467 4904924102 7357386153 7923338934 14714772306 17167234357 19053743627 34334468714 38107487254 51501703071 57161230881 103003406142 114322461762 133376205389 247698667151 266752410778 400128616167 495397334302 743096001453 800257232334 1486192002906 1733890670057 3467781340114 5201672010171 10403344020342