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200303440314040 = 23571393151350903
BaseRepresentation
bin101101100010110011000111…
…011010000011111010111000
3222021012211012011010010222001
4231202303013122003322320
5202223232421210022130
61550002044040310344
760122305656401230
oct5542630732037270
9867184164103861
10200303440314040
1158906237180498
121a570194a723b4
13879c6c1a8a06b
143766a49a28cc0
1518255437ba6ca
hexb62cc7683eb8

200303440314040 has 64 divisors (see below), whose sum is σ = 515102972060160. Its totient is φ = 68670534226560.

The previous prime is 200303440314007. The next prime is 200303440314079. The reversal of 200303440314040 is 40413044303002.

200303440314040 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-3 number, since 3×2003034403140403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21774772 + ... + 29576131.

It is an arithmetic number, because the mean of its divisors is an integer number (8048483938440).

Almost surely, 2200303440314040 is an apocalyptic number.

200303440314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200303440314040 is an abundant number, since it is smaller than the sum of its proper divisors (314799531746120).

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

200303440314040 is a wasteful number, since it uses less digits than its factorization.

200303440314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51364852 (or 51364848 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 200303440314040 its reverse (40413044303002), we get a palindrome (240716484617042).

The spelling of 200303440314040 in words is "two hundred trillion, three hundred three billion, four hundred forty million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 13931 27862 55724 69655 97517 111448 139310 195034 278620 390068 487585 557240 780136 975170 1950340 3900680 51350903 102701806 205403612 256754515 359456321 410807224 513509030 718912642 1027018060 1437825284 1797281605 2054036120 2875650568 3594563210 7189126420 14378252840 715369429693 1430738859386 2861477718772 3576847148465 5007586007851 5722955437544 7153694296930 10015172015702 14307388593860 20030344031404 25037930039255 28614777187720 40060688062808 50075860078510 100151720157020 200303440314040