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2140351425 = 335217199817
BaseRepresentation
bin111111110010011…
…0010101111000001
312112011110010012000
41333210302233001
513340412221200
6552215054213
7104016454422
oct17744625701
95464403160
102140351425
119a9199783
124b8971369
13281578644
14164391649
15c7d88300
hex7f932bc1

2140351425 has 96 divisors (see below), whose sum is σ = 4382755200. Its totient is φ = 1017722880.

The previous prime is 2140351393. The next prime is 2140351439. The reversal of 2140351425 is 5241530412.

2140351425 is a `hidden beast` number, since 2 + 140 + 3 + 514 + 2 + 5 = 666.

It is not a de Polignac number, because 2140351425 - 25 = 2140351393 is a prime.

It is a super-2 number, since 2×21403514252 = 9162208444999061250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213117 + ... + 222933.

It is an arithmetic number, because the mean of its divisors is an integer number (45653700).

Almost surely, 22140351425 is an apocalyptic number.

2140351425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2140351425 is an abundant number, since it is smaller than the sum of its proper divisors (2242403775).

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

2140351425 is a wasteful number, since it uses less digits than its factorization.

2140351425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2140351425 is about 46263.9322258712. The cubic root of 2140351425 is about 1288.7292786965.

Adding to 2140351425 its reverse (5241530412), we get a palindrome (7381881837).

The spelling of 2140351425 in words is "two billion, one hundred forty million, three hundred fifty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 27 45 51 57 75 85 95 135 153 171 225 255 285 323 425 459 475 513 675 765 855 969 1275 1425 1615 2295 2565 2907 3825 4275 4845 8075 8721 9817 11475 12825 14535 24225 29451 43605 49085 72675 88353 147255 166889 186523 218025 245425 265059 441765 500667 559569 736275 834445 932615 1325295 1502001 1678707 2208825 2503335 2797845 3170891 4172225 4506003 4663075 5036121 6626475 7510005 8393535 9512673 12516675 13989225 15854455 22530015 25180605 28538019 37550025 41967675 47563365 79272275 85614057 112650075 125903025 142690095 237816825 428070285 713450475 2140351425