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14355040120 = 2351996072971
BaseRepresentation
bin11010101111010000…
…01000011101111000
31101001102112121001121
431113220020131320
5213344342240440
610332234155024
71015505553631
oct152750103570
941042477047
1014355040120
1160a7056123
122947582a74
13147a03b1a5
149a26d6888
155903b534a
hex357a08778

14355040120 has 64 divisors (see below), whose sum is σ = 32525568000. Its totient is φ = 5701829760.

The previous prime is 14355040097. The next prime is 14355040121. The reversal of 14355040120 is 2104055341.

It is a happy number.

14355040120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143550401202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14355040121) 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 15 ways as a sum of consecutive naturals, for example, 4830235 + ... + 4833205.

It is an arithmetic number, because the mean of its divisors is an integer number (508212000).

Almost surely, 214355040120 is an apocalyptic number.

14355040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14355040120 is an abundant number, since it is smaller than the sum of its proper divisors (18170527880).

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

14355040120 is a wasteful number, since it uses less digits than its factorization.

14355040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 14355040120 its reverse (2104055341), we get a palindrome (16459095461).

The spelling of 14355040120 in words is "fourteen billion, three hundred fifty-five million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 199 398 607 796 995 1214 1592 1990 2428 2971 3035 3980 4856 5942 6070 7960 11884 12140 14855 23768 24280 29710 59420 118840 120793 241586 483172 591229 603965 966344 1182458 1207930 1803397 2364916 2415860 2956145 3606794 4729832 4831720 5912290 7213588 9016985 11824580 14427176 18033970 23649160 36067940 72135880 358876003 717752006 1435504012 1794380015 2871008024 3588760030 7177520060 14355040120