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400243344030 = 232519326387613
BaseRepresentation
bin1011101001100000101…
…11001100001010011110
31102021002122110112020200
411310300113030022132
523024144244002110
6503511431524330
740626255201555
oct5646027141236
91367078415220
10400243344030
11144818a2a372
12656a08296a6
132b986b902aa
141552c628d9c
15a627e656c0
hex5d305cc29e

400243344030 has 96 divisors (see below), whose sum is σ = 1050013838016. Its totient is φ = 105773617152.

The previous prime is 400243343999. The next prime is 400243344037. The reversal of 400243344030 is 30443342004.

It is a junction number, because it is equal to n+sod(n) for n = 400243343985 and 400243344003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400243344037) 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, 4524504 + ... + 4612116.

It is an arithmetic number, because the mean of its divisors is an integer number (10937644146).

Almost surely, 2400243344030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400243344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525006919008).

400243344030 is an abundant number, since it is smaller than the sum of its proper divisors (649770493986).

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

400243344030 is a wasteful number, since it uses less digits than its factorization.

400243344030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88082 (or 88079 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 400243344030 its reverse (30443342004), we get a palindrome (430686686034).

The spelling of 400243344030 in words is "four hundred billion, two hundred forty-three million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 263 386 526 579 789 965 1158 1315 1578 1737 1930 2367 2630 2895 3474 3945 4734 5790 7890 8685 11835 17370 23670 50759 87613 101518 152277 175226 253795 262839 304554 438065 456831 507590 525678 761385 788517 876130 913662 1314195 1522770 1577034 2284155 2628390 3942585 4568310 7885170 16909309 23042219 33818618 46084438 50727927 69126657 84546545 101455854 115211095 138253314 152183781 169093090 207379971 230422190 253639635 304367562 345633285 414759942 507279270 691266570 760918905 1036899855 1521837810 2073799710 4447148267 8894296534 13341444801 22235741335 26682889602 40024334403 44471482670 66707224005 80048668806 133414448010 200121672015 400243344030