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10324114140 = 22353152310613
BaseRepresentation
bin10011001110101110…
…10111101011011100
3222122111122100010210
421213113113223130
5132120433123030
64424241332420
7513561344064
oct114727275334
928574570123
1010324114140
11441876983a
122001637110
13c86bac1a2
146dd2123a4
15406581bb0
hex2675d7adc

10324114140 has 96 divisors (see below), whose sum is σ = 29899892736. Its totient is φ = 2658942720.

The previous prime is 10324114139. The next prime is 10324114147. The reversal of 10324114140 is 4141142301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324114147) 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, 967474 + ... + 978086.

It is an arithmetic number, because the mean of its divisors is an integer number (311457216).

Almost surely, 210324114140 is an apocalyptic number.

10324114140 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 10324114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14949946368).

10324114140 is an abundant number, since it is smaller than the sum of its proper divisors (19575778596).

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

10324114140 is a wasteful number, since it uses less digits than its factorization.

10324114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10324114140 its reverse (4141142301), we get a palindrome (14465256441).

The spelling of 10324114140 in words is "ten billion, three hundred twenty-four million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 523 620 930 1046 1569 1860 2092 2615 3138 5230 6276 7845 10460 10613 15690 16213 21226 31380 31839 32426 42452 48639 53065 63678 64852 81065 97278 106130 127356 159195 162130 194556 212260 243195 318390 324260 329003 486390 636780 658006 972780 987009 1316012 1645015 1974018 3290030 3948036 4935045 5550599 6580060 9870090 11101198 16651797 19740180 22202396 27752995 33303594 55505990 66607188 83258985 111011980 166517970 172068569 333035940 344137138 516205707 688274276 860342845 1032411414 1720685690 2064822828 2581028535 3441371380 5162057070 10324114140