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401320014030 = 2325131871183329
BaseRepresentation
bin1011101011100001000…
…10010111000011001110
31102100212200102000211100
411311300202113003032
523033400410422110
6504210332403530
740665040556265
oct5656042270316
91370780360740
10401320014030
1114522075a491
12659413165a6
132bac8c62c30
14155d16135dc
15a68c73dbc0
hex5d708970ce

401320014030 has 96 divisors (see below), whose sum is σ = 1124302757760. Its totient is φ = 98733127680.

The previous prime is 401320014001. The next prime is 401320014031. The reversal of 401320014030 is 30410023104.

It is a super-2 number, since 2×4013200140302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 401320013994 and 401320014012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401320014031) 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 47 ways as a sum of consecutive naturals, for example, 2097406 + ... + 2280734.

It is an arithmetic number, because the mean of its divisors is an integer number (11711487060).

Almost surely, 2401320014030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401320014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562151378880).

401320014030 is an abundant number, since it is smaller than the sum of its proper divisors (722982743730).

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

401320014030 is a wasteful number, since it uses less digits than its factorization.

401320014030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185226 (or 185223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 401320014030 its reverse (30410023104), we get a palindrome (431730037134).

The spelling of 401320014030 in words is "four hundred one billion, three hundred twenty million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1871 3742 5613 9355 11226 16839 18710 24323 28065 33678 48646 56130 72969 84195 121615 145938 168390 183329 218907 243230 364845 366658 437814 549987 729690 916645 1094535 1099974 1649961 1833290 2189070 2383277 2749935 3299922 4766554 5499870 7149831 8249805 11916385 14299662 16499610 21449493 23832770 35749155 42898986 71498310 107247465 214494930 343008559 686017118 1029025677 1715042795 2058051354 3087077031 3430085590 4459111267 5145128385 6174154062 8918222534 10290256770 13377333801 15435385155 22295556335 26754667602 30870770310 40132001403 44591112670 66886669005 80264002806 133773338010 200660007015 401320014030