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140105456200 = 23526438211327
BaseRepresentation
bin1000001001111011101…
…1111001101001001000
3111101122012010121110101
42002132323321221020
54243413444044300
6144210310055144
713056641504533
oct2023673715110
9441565117411
10140105456200
1154466971a26
12231a104a4b4
131029a696108
146ad163da1a
1539a0102b6a
hex209eef9a48

140105456200 has 96 divisors (see below), whose sum is σ = 326895327360. Its totient is φ = 55844755200.

The previous prime is 140105456159. The next prime is 140105456203. The reversal of 140105456200 is 2654501041.

140105456200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140105456203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105579937 + ... + 105581263.

It is an arithmetic number, because the mean of its divisors is an integer number (3405159660).

Almost surely, 2140105456200 is an apocalyptic number.

140105456200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140105456200 is an abundant number, since it is smaller than the sum of its proper divisors (186789871160).

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

140105456200 is a wasteful number, since it uses less digits than its factorization.

140105456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 140105456200 its reverse (2654501041), we get a palindrome (142759957241).

The spelling of 140105456200 in words is "one hundred forty billion, one hundred five million, four hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 643 821 1286 1327 1642 2572 2654 3215 3284 4105 5144 5308 6430 6568 6635 8210 10616 12860 13270 16075 16420 20525 25720 26540 32150 32840 33175 41050 53080 64300 66350 82100 128600 132700 164200 265400 527903 853261 1055806 1089467 1706522 2111612 2178934 2639515 3413044 4223224 4266305 4357868 5279030 5447335 6826088 8532610 8715736 10558060 10894670 13197575 17065220 21116120 21331525 21789340 26395150 27236675 34130440 42663050 43578680 52790300 54473350 85326100 105580600 108946700 170652200 217893400 700527281 1401054562 2802109124 3502636405 5604218248 7005272810 14010545620 17513182025 28021091240 35026364050 70052728100 140105456200