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140022320200344 = 23331018501755009
BaseRepresentation
bin11111110101100101111100…
…101001111111101010011000
3200100210000002020122012101000
4133311211330221333222120
5121323111202432402334
61213445211010225000
741331164424616341
oct3765457451775230
9610700066565330
10140022320200344
114068515041910a
121385531b885160
1360190819b3b3a
14268118b7bd0c8
15112c47dcb9299
hex7f597ca7fa98

140022320200344 has 128 divisors (see below), whose sum is σ = 392848615224000. Its totient is φ = 46206489600000.

The previous prime is 140022320200339. The next prime is 140022320200349. The reversal of 140022320200344 is 443002023220041.

140022320200344 is a `hidden beast` number, since 1 + 400 + 2 + 2 + 3 + 20 + 200 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (140022320200339) and next prime (140022320200349).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140022320200349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185080312 + ... + 185835320.

Almost surely, 2140022320200344 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 140022320200344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196424307612000).

140022320200344 is an abundant number, since it is smaller than the sum of its proper divisors (252826295023656).

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

140022320200344 is a wasteful number, since it uses less digits than its factorization.

140022320200344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763626 (or 763616 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 140022320200344 its reverse (443002023220041), we get a palindrome (583024343420385).

The spelling of 140022320200344 in words is "one hundred forty trillion, twenty-two billion, three hundred twenty million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 7272 8501 10908 17002 21816 25503 34004 51006 68008 76509 102012 153018 204024 229527 306036 459054 612072 755009 858601 918108 1510018 1717202 1836216 2265027 2575803 3020036 3434404 4530054 5151606 6040072 6795081 6868808 7727409 9060108 10303212 13590162 15454818 18120216 20385243 20606424 23182227 27180324 30909636 40770486 46364454 54360648 61819272 76255909 81540972 92728908 152511818 163081944 185457816 228767727 305023636 457535454 610047272 686303181 915070908 1372606362 1830141816 2058909543 2745212724 4117819086 5490425448 6418331509 8235638172 12836663018 16471276344 19254994527 25673326036 38509989054 51346652072 57764983581 77019978108 115529967162 154039956216 173294950743 231059934324 346589901486 462119868648 648251482409 693179802972 1296502964818 1386359605944 1944754447227 2593005929636 3889508894454 5186011859272 5834263341681 7779017788908 11668526683362 15558035577816 17502790025043 23337053366724 35005580050086 46674106733448 70011160100172 140022320200344