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321140300020040 = 23522336002275787
BaseRepresentation
bin100100100000100110100110…
…1100000010111100101001000
31120010001201020200001222212102
41021001031031200113211020
5314043030313301120130
63055001452301132532
7124433423002662224
oct11101151540274510
91503051220058772
10321140300020040
1193363922284036
123002718485a148
1310a26528750307
1459433b8505784
15271d8e2192645
hex124134d817948

321140300020040 has 32 divisors (see below), whose sum is σ = 725805879886080. Its totient is φ = 127880083591872.

The previous prime is 321140300020013. The next prime is 321140300020081. The reversal of 321140300020040 is 40020003041123.

It is a super-2 number, since 2×3211403000200402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321140300019994 and 321140300020021.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18001128974 + ... + 18001146813.

It is an arithmetic number, because the mean of its divisors is an integer number (22681433746440).

Almost surely, 2321140300020040 is an apocalyptic number.

It is an amenable number.

321140300020040 is an abundant number, since it is smaller than the sum of its proper divisors (404665579866040).

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

321140300020040 is a wasteful number, since it uses less digits than its factorization.

321140300020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36002276021 (or 36002276017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 321140300020040 its reverse (40020003041123), we get a palindrome (361160303061163).

The spelling of 321140300020040 in words is "three hundred twenty-one trillion, one hundred forty billion, three hundred million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 223 446 892 1115 1784 2230 4460 8920 36002275787 72004551574 144009103148 180011378935 288018206296 360022757870 720045515740 1440091031480 8028507500501 16057015001002 32114030002004 40142537502505 64228060004008 80285075005010 160570150010020 321140300020040