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140414323100 = 225222728122013
BaseRepresentation
bin1000001011000101011…
…0001000100110011100
3111102102201022200012012
42002301112020212130
54300032031314400
6144301102130352
713100412024242
oct2026126104634
9442381280165
10140414323100
1154605252227
12232685809b8
1310319679aac
146b20680792
1539bc2b3d35
hex20b158899c

140414323100 has 72 divisors (see below), whose sum is σ = 307144435248. Its totient is φ = 55716774400.

The previous prime is 140414323099. The next prime is 140414323109. The reversal of 140414323100 is 1323414041.

140414323100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1404143231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414323109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6367694 + ... + 6389706.

It is an arithmetic number, because the mean of its divisors is an integer number (4265894934).

Almost surely, 2140414323100 is an apocalyptic number.

140414323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414323100 is an abundant number, since it is smaller than the sum of its proper divisors (166730112148).

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

140414323100 is a wasteful number, since it uses less digits than its factorization.

140414323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22535 (or 22528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 140414323100 its reverse (1323414041), we get a palindrome (141737737141).

The spelling of 140414323100 in words is "one hundred forty billion, four hundred fourteen million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 227 281 454 562 908 1124 1135 1405 2270 2810 4540 5620 5675 7025 11350 14050 22013 22700 28100 44026 63787 88052 110065 127574 220130 255148 318935 440260 550325 637870 1100650 1275740 1594675 2201300 3189350 4996951 6185653 6378700 9993902 12371306 19987804 24742612 24984755 30928265 49969510 61856530 99939020 123713060 124923775 154641325 249847550 309282650 499695100 618565300 1404143231 2808286462 5616572924 7020716155 14041432310 28082864620 35103580775 70207161550 140414323100