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14153535340 = 2257219374831
BaseRepresentation
bin11010010111001110…
…11100111101101100
31100112101101002110121
431023213130331230
5212441301112330
610300235214324
71010511031300
oct151347347554
940471332417
1014153535340
11600333564a
1228abba73a4
131447377ca9
14983a41d00
1557c86017a
hex34b9dcf6c

14153535340 has 72 divisors (see below), whose sum is σ = 34754674752. Its totient is φ = 4827432960.

The previous prime is 14153535301. The next prime is 14153535359. The reversal of 14153535340 is 4353535141.

It is a junction number, because it is equal to n+sod(n) for n = 14153535296 and 14153535305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151725 + ... + 226555.

It is an arithmetic number, because the mean of its divisors is an integer number (482703816).

Almost surely, 214153535340 is an apocalyptic number.

14153535340 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 14153535340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377337376).

14153535340 is an abundant number, since it is smaller than the sum of its proper divisors (20601139412).

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

14153535340 is a wasteful number, since it uses less digits than its factorization.

14153535340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75047 (or 75038 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 14153535340 in words is "fourteen billion, one hundred fifty-three million, five hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 193 196 245 386 490 772 965 980 1351 1930 2702 3860 5404 6755 9457 13510 18914 27020 37828 47285 74831 94570 149662 189140 299324 374155 523817 748310 1047634 1496620 2095268 2619085 3666719 5238170 7333438 10476340 14442383 14666876 18333595 28884766 36667190 57769532 72211915 73334380 101096681 144423830 202193362 288847660 404386724 505483405 707676767 1010966810 1415353534 2021933620 2830707068 3538383835 7076767670 14153535340