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15345299940 = 22351992116091
BaseRepresentation
bin11100100101010011…
…01011000111100100
31110121102220000011020
432102221223013210
5222411344044230
611014411011140
71052161616535
oct162251530744
943542800136
1015345299940
116565026a73
122b83139ab0
1315a7247b49
14a5802a68c
155ec2c0810
hex392a6b1e4

15345299940 has 96 divisors (see below), whose sum is σ = 43394534400. Its totient is φ = 4051555200.

The previous prime is 15345299939. The next prime is 15345299947. The reversal of 15345299940 is 4999254351.

15345299940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (15345299947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2516295 + ... + 2522385.

It is an arithmetic number, because the mean of its divisors is an integer number (452026400).

Almost surely, 215345299940 is an apocalyptic number.

15345299940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15345299940 is an abundant number, since it is smaller than the sum of its proper divisors (28049234460).

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

15345299940 is a wasteful number, since it uses less digits than its factorization.

15345299940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 15345299940 in words is "fifteen billion, three hundred forty-five million, two hundred ninety-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 211 398 422 597 633 796 844 995 1055 1194 1266 1990 2110 2388 2532 2985 3165 3980 4220 5970 6091 6330 11940 12182 12660 18273 24364 30455 36546 41989 60910 73092 83978 91365 121820 125967 167956 182730 209945 251934 365460 419890 503868 629835 839780 1212109 1259670 1285201 2424218 2519340 2570402 3636327 3855603 4848436 5140804 6060545 6426005 7272654 7711206 12121090 12852010 14545308 15422412 18181635 19278015 24242180 25704020 36363270 38556030 72726540 77112060 255754999 511509998 767264997 1023019996 1278774995 1534529994 2557549990 3069059988 3836324985 5115099980 7672649970 15345299940