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14502103040 = 21157611861
BaseRepresentation
bin11011000000110010…
…01000100000000000
31101102200021011110102
431200121020200000
5214200014244130
610355010221532
71022242561535
oct154031104000
941380234412
1014502103040
116172071727
1229888848a8
1314a164c279
149b8058d8c
1559d264645
hex360648800

14502103040 has 96 divisors (see below), whose sum is σ = 34860997080. Its totient is φ = 5790105600.

The previous prime is 14502102971. The next prime is 14502103043. The reversal of 14502103040 is 4030120541.

It can be written as a sum of positive squares in 4 ways, for example, as 1835951104 + 12666151936 = 42848^2 + 112544^2 .

It is a super-3 number, since 3×145021030403 (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14502103043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7791710 + ... + 7793570.

Almost surely, 214502103040 is an apocalyptic number.

14502103040 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 14502103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430498540).

14502103040 is an abundant number, since it is smaller than the sum of its proper divisors (20358894040).

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

14502103040 is an equidigital number, since it uses as much as digits as its factorization.

14502103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14502103040 its reverse (4030120541), we get a palindrome (18532223581).

The spelling of 14502103040 in words is "fourteen billion, five hundred two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 761 1024 1280 1522 1861 2048 2560 3044 3722 3805 5120 6088 7444 7610 9305 10240 12176 14888 15220 18610 24352 29776 30440 37220 48704 59552 60880 74440 97408 119104 121760 148880 194816 238208 243520 297760 389632 476416 487040 595520 779264 952832 974080 1191040 1416221 1558528 1905664 1948160 2382080 2832442 3811328 3896320 4764160 5664884 7081105 7792640 9528320 11329768 14162210 19056640 22659536 28324420 45319072 56648840 90638144 113297680 181276288 226595360 362552576 453190720 725105152 906381440 1450210304 1812762880 2900420608 3625525760 7251051520 14502103040