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110020344231440 = 24511314461841601
BaseRepresentation
bin11001000001000000011011…
…100010010011011000010000
3112102112211201221210211010102
4121001000123202103120100
5103410033131110401230
61025554352015151532
732113464456603626
oct3101003342233020
9472484657724112
10110020344231440
1132068403104405
121040a81a8155a8
134950b49092726
141d25027c31516
15cabd357c8045
hex64101b893610

110020344231440 has 80 divisors (see below), whose sum is σ = 258079145221296. Its totient is φ = 43615617024000.

The previous prime is 110020344231433. The next prime is 110020344231509. The reversal of 110020344231440 is 44132443020011.

It can be written as a sum of positive squares in 8 ways, for example, as 56238420595984 + 53781923635456 = 7499228^2 + 7333616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1100203442314402 (a number of 29 digits) contains 22 as substring.

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, 130306640 + ... + 131148240.

Almost surely, 2110020344231440 is an apocalyptic number.

110020344231440 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 110020344231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129039572610648).

110020344231440 is an abundant number, since it is smaller than the sum of its proper divisors (148058800989856).

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

110020344231440 is a wasteful number, since it uses less digits than its factorization.

110020344231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856188 (or 856182 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 110020344231440 its reverse (44132443020011), we get a palindrome (154152787251451).

The spelling of 110020344231440 in words is "one hundred ten trillion, twenty billion, three hundred forty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 14461 28922 57844 72305 115688 144610 231376 289220 578440 841601 1156880 1634093 1683202 3268186 3366404 4208005 6536372 6732808 8170465 8416010 13072744 13465616 16340930 16832020 26145488 32681860 33664040 65363720 67328080 95100913 130727440 190201826 380403652 475504565 760807304 951009130 1521614608 1902018260 3804036520 7608073040 12170392061 24340784122 48681568244 60851960305 97363136488 121703920610 194726272976 243407841220 486815682440 973631364880 1375254302893 2750508605786 5501017211572 6876271514465 11002034423144 13752543028930 22004068846288 27505086057860 55010172115720 110020344231440