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140091600348 = 223272101786307
BaseRepresentation
bin1000001001111000011…
…1000010110111011100
3111101121020001122210200
42002132013002313130
54243401422202343
6144205053103500
713056412645500
oct2023607026734
9441536048720
10140091600348
115445a068907
1223198487b90
131029785449b
146acd874300
15399dcb74d3
hex209e1c2ddc

140091600348 has 108 divisors (see below), whose sum is σ = 416015118792. Its totient is φ = 39629822400.

The previous prime is 140091600281. The next prime is 140091600349. The reversal of 140091600348 is 843006190041.

140091600348 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 9 + 1 + 600 + 3 + 48 = 666.

It is a super-2 number, since 2×1400916003482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140091600349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214990 + ... + 571317.

Almost surely, 2140091600348 is an apocalyptic number.

140091600348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140091600348 is an abundant number, since it is smaller than the sum of its proper divisors (275923518444).

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

140091600348 is a wasteful number, since it uses less digits than its factorization.

140091600348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786432 (or 786420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 140091600348 its reverse (843006190041), we get a palindrome (983097790389).

The spelling of 140091600348 in words is "one hundred forty billion, ninety-one million, six hundred thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 101 126 147 196 202 252 294 303 404 441 588 606 707 882 909 1212 1414 1764 1818 2121 2828 3636 4242 4949 6363 8484 9898 12726 14847 19796 25452 29694 44541 59388 89082 178164 786307 1572614 2358921 3145228 4717842 5504149 7076763 9435684 11008298 14153526 16512447 22016596 28307052 33024894 38529043 49537341 66049788 77058086 79417007 99074682 115587129 154116172 158834014 198149364 231174258 238251021 317668028 346761387 462348516 476502042 555919049 693522774 714753063 953004084 1111838098 1387045548 1429506126 1667757147 2223676196 2859012252 3335514294 3891433343 5003271441 6671028588 7782866686 10006542882 11674300029 15565733372 20013085764 23348600058 35022900087 46697200116 70045800174 140091600348