Search a number
-
+
140324410324 = 2273592417193
BaseRepresentation
bin1000001010101111111…
…1001001001111010100
3111102012110010122001101
42002223333021033110
54244341022112244
6144244131035444
713065240544000
oct2025377111724
9442173118041
10140324410324
115456952044a
122324243bb84
1310303b58777
146b12757700
1539b44530d4
hex20abfc93d4

140324410324 has 96 divisors (see below), whose sum is σ = 292479264000. Its totient is φ = 58866232320.

The previous prime is 140324410279. The next prime is 140324410349. The reversal of 140324410324 is 423014423041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 140324410292 and 140324410301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19504872 + ... + 19512064.

It is an arithmetic number, because the mean of its divisors is an integer number (3046659000).

Almost surely, 2140324410324 is an apocalyptic number.

140324410324 is a gapful number since it is divisible by the number (14) 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 140324410324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146239632000).

140324410324 is an abundant number, since it is smaller than the sum of its proper divisors (152154853676).

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

140324410324 is a wasteful number, since it uses less digits than its factorization.

140324410324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 140324410324 its reverse (423014423041), we get a palindrome (563338833365).

The spelling of 140324410324 in words is "one hundred forty billion, three hundred twenty-four million, four hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 241 343 413 482 686 826 964 1372 1652 1687 2891 3374 5782 6748 7193 11564 11809 14219 14386 20237 23618 28438 28772 40474 47236 50351 56876 80948 82663 99533 100702 165326 199066 201404 330652 352457 398132 424387 696731 704914 848774 1393462 1409828 1697548 1733513 2467199 2786924 2970709 3467026 4877117 4934398 5941418 6934052 9754234 9868796 11882836 12134591 19508468 20794963 24269182 41589926 48538364 83179852 84942137 102277267 145564741 169884274 204554534 291129482 339768548 409109068 582258964 594594959 715940869 1189189918 1431881738 2378379836 2863763476 5011586083 10023172166 20046344332 35081102581 70162205162 140324410324