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140032144410440 = 23517457450611869
BaseRepresentation
bin11111110101101111000110…
…001110011000011101001000
3200100210221102220121210002012
4133311233012032120131020
5121323241312432113230
61213453513513155052
741331663036206312
oct3765570616303510
9610727386553065
10140032144410440
1140689331986607
12138572019bba88
136019c891427c9
1426818404627b2
15112c856501395
hex7f5bc6398748

140032144410440 has 64 divisors (see below), whose sum is σ = 334335983065200. Its totient is φ = 52602627022848.

The previous prime is 140032144410343. The next prime is 140032144410481. The reversal of 140032144410440 is 44014441230041.

It can be written as a sum of positive squares in 8 ways, for example, as 135286534863076 + 4745609547364 = 11631274^2 + 2178442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140032144410397 and 140032144410406.

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, 224995175 + ... + 225616694.

Almost surely, 2140032144410440 is an apocalyptic number.

140032144410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140032144410440 is an abundant number, since it is smaller than the sum of its proper divisors (194303838654760).

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

140032144410440 is a wasteful number, since it uses less digits than its factorization.

140032144410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450612354 (or 450612350 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 140032144410440 its reverse (44014441230041), we get a palindrome (184046585640481).

The spelling of 140032144410440 in words is "one hundred forty trillion, thirty-two billion, one hundred forty-four million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 457 680 914 1828 2285 3656 4570 7769 9140 15538 18280 31076 38845 62152 77690 155380 310760 450611869 901223738 1802447476 2253059345 3604894952 4506118690 7660401773 9012237380 15320803546 18024474760 30641607092 38302008865 61283214184 76604017730 153208035460 205929624133 306416070920 411859248266 823718496532 1029648120665 1647436993064 2059296241330 3500803610261 4118592482660 7001607220522 8237184965320 14003214441044 17504018051305 28006428882088 35008036102610 70016072205220 140032144410440