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14141320040 = 2351819831987
BaseRepresentation
bin11010010101110001…
…10110101101101000
31100111112101111020002
431022320312231220
5212430134220130
610255121322132
71010302144211
oct151270665550
940445344202
1014141320040
115aa7452061
1228a7a96348
13144498bcc3
14982182408
1557b74ab45
hex34ae36b68

14141320040 has 64 divisors (see below), whose sum is σ = 32042424960. Its totient is φ = 5616725760.

The previous prime is 14141320033. The next prime is 14141320073. The reversal of 14141320040 is 4002314141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14141319994 and 14141320021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7115927 + ... + 7117913.

It is an arithmetic number, because the mean of its divisors is an integer number (500662890).

Almost surely, 214141320040 is an apocalyptic number.

14141320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141320040 is an abundant number, since it is smaller than the sum of its proper divisors (17901104920).

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

14141320040 is a wasteful number, since it uses less digits than its factorization.

14141320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14141320040 its reverse (4002314141), we get a palindrome (18143634181).

The spelling of 14141320040 in words is "fourteen billion, one hundred forty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 983 1448 1810 1966 1987 3620 3932 3974 4915 7240 7864 7948 9830 9935 15896 19660 19870 39320 39740 79480 177923 355846 359647 711692 719294 889615 1423384 1438588 1779230 1798235 1953221 2877176 3558460 3596470 3906442 7116920 7192940 7812884 9766105 14385880 15625768 19532210 39064420 78128840 353533001 707066002 1414132004 1767665005 2828264008 3535330010 7070660020 14141320040