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355140314000 = 2453177570157
BaseRepresentation
bin1010010101100000000…
…00110010001110010000
31020221200100011012112222
411022300000302032100
521304311410022000
6431052121240212
734441464601313
oct5126000621620
91227610135488
10355140314000
111276834a333a
12589b3933068
1327649817444
141329041a97a
159388474a85
hex52b0032390

355140314000 has 40 divisors (see below), whose sum is σ = 858729284088. Its totient is φ = 142056124800.

The previous prime is 355140313993. The next prime is 355140314003. The reversal of 355140314000 is 413041553.

It can be written as a sum of positive squares in 4 ways, for example, as 2057166736 + 353083147264 = 45356^2 + 594208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3551403140002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (355140314003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88783079 + ... + 88787078.

Almost surely, 2355140314000 is an apocalyptic number.

It is an amenable number.

355140314000 is an abundant number, since it is smaller than the sum of its proper divisors (503588970088).

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

355140314000 is a wasteful number, since it uses less digits than its factorization.

355140314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177570180 (or 177570164 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 355140314000 its reverse (413041553), we get a palindrome (355553355553).

The spelling of 355140314000 in words is "three hundred fifty-five billion, one hundred forty million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 177570157 355140314 710280628 887850785 1420561256 1775701570 2841122512 3551403140 4439253925 7102806280 8878507850 14205612560 17757015700 22196269625 35514031400 44392539250 71028062800 88785078500 177570157000 355140314000