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101343423440 = 24571919191031
BaseRepresentation
bin101111001100010001…
…0011110101111010000
3100200120210112022202102
41132120202132233100
53130022404022230
6114320113135532
710215245612630
oct1363042365720
9320523468672
10101343423440
1139a857a2006
121778385a5a8
139730c3c55c
144c956466c0
152982156045
hex179889ebd0

101343423440 has 160 divisors (see below), whose sum is σ = 271251210240. Its totient is φ = 34493299200.

The previous prime is 101343423427. The next prime is 101343423481. The reversal of 101343423440 is 44324343101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98295725 + ... + 98296755.

It is an arithmetic number, because the mean of its divisors is an integer number (1695320064).

Almost surely, 2101343423440 is an apocalyptic number.

101343423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101343423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135625605120).

101343423440 is an abundant number, since it is smaller than the sum of its proper divisors (169907786800).

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

101343423440 is a wasteful number, since it uses less digits than its factorization.

101343423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 101343423440 its reverse (44324343101), we get a palindrome (145667766541).

The spelling of 101343423440 in words is "one hundred one billion, three hundred forty-three million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 191 280 382 560 764 919 955 1031 1337 1528 1838 1910 2062 2674 3056 3676 3820 4124 4595 5155 5348 6433 6685 7217 7352 7640 8248 9190 10310 10696 12866 13370 14434 14704 15280 16496 18380 20620 21392 25732 26740 28868 32165 36085 36760 41240 51464 53480 57736 64330 72170 73520 82480 102928 106960 115472 128660 144340 175529 196921 257320 288680 351058 393842 514640 577360 702116 787684 877645 947489 984605 1228703 1378447 1404232 1575368 1755290 1894978 1969210 2457406 2756894 2808464 3150736 3510580 3789956 3938420 4737445 4914812 5513788 6143515 6632423 6892235 7021160 7579912 7876840 9474890 9829624 11027576 12287030 13264846 13784470 14042320 15159824 15753680 18949780 19659248 22055152 24574060 26529692 27568940 33162115 37899560 49148120 53059384 55137880 66324230 75799120 98296240 106118768 110275760 132648460 180970399 265296920 361940798 530593840 723881596 904851995 1266792793 1447763192 1809703990 2533585586 2895526384 3619407980 5067171172 6333963965 7238815960 10134342344 12667927930 14477631920 20268684688 25335855860 50671711720 101343423440