Search a number
-
+
140235310324300 = 225247831718320921
BaseRepresentation
bin11111111000101100010011…
…110110110101101001001100
3200101112100211220010112221111
4133320230103312311221030
5121340103403420334200
61214131113455541404
741352444502036012
oct3770542366655114
9611470756115844
10140235310324300
1140757508829744
121388a66182a864
136033196327699
14268b5d4bb88b2
151132c9788e0ba
hex7f8b13db5a4c

140235310324300 has 144 divisors (see below), whose sum is σ = 314563058675712. Its totient is φ = 54233429747200.

The previous prime is 140235310324237. The next prime is 140235310324301. The reversal of 140235310324300 is 3423013532041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (140235310324301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6703077840 + ... + 6703098760.

It is an arithmetic number, because the mean of its divisors is an integer number (2184465685248).

Almost surely, 2140235310324300 is an apocalyptic number.

140235310324300 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 140235310324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157281529337856).

140235310324300 is an abundant number, since it is smaller than the sum of its proper divisors (174327748351412).

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

140235310324300 is a wasteful number, since it uses less digits than its factorization.

140235310324300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38248 (or 38241 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 140235310324300 its reverse (3423013532041), we get a palindrome (143658323856341).

The spelling of 140235310324300 in words is "one hundred forty trillion, two hundred thirty-five billion, three hundred ten million, three hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 83 94 100 166 188 235 332 415 470 830 940 1175 1660 2075 2350 3901 4150 4700 7802 8300 15604 17183 19505 20921 34366 39010 41842 68732 78020 83684 85915 97525 104605 171830 195050 209210 343660 390100 418420 429575 523025 807601 859150 983287 1046050 1426189 1615202 1718300 1736443 1966574 2092100 2852378 3230404 3472886 3933148 4038005 4916435 5704756 6945772 7130945 8076010 8682215 9832870 14261890 16152020 17364430 19665740 20190025 24582175 28523780 34728860 35654725 40380050 43411075 49164350 67030883 71309450 80760100 81612821 86822150 98328700 134061766 142618900 163225642 173644300 268123532 326451284 335154415 359485543 408064105 670308830 718971086 816128210 1340617660 1437942172 1632256420 1675772075 1797427715 2040320525 3351544150 3594855430 4080641050 6703088300 7189710860 8161282100 8987138575 16895820521 17974277150 29837300069 33791641042 35948554300 59674600138 67583282084 84479102605 119349200276 149186500345 168958205210 298373000690 337916410420 422395513025 596746001380 745932501725 844791026050 1402353103243 1491865003450 1689582052100 2804706206486 2983730006900 5609412412972 7011765516215 14023531032430 28047062064860 35058827581075 70117655162150 140235310324300