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400434312542020 = 225131152837523871
BaseRepresentation
bin101101100001100010110000…
…0111101000111011101000100
31221111211010221201221020000021
41123003011200331013131010
5404441203433002321040
63535352552244024524
7150226265362423111
oct13303054075073504
91844733851836007
10400434312542020
11106655269146739
1238ab2a29092144
1314258a418422a3
1470c51a48c5908
15314633706124a
hex16c3160f47744

400434312542020 has 24 divisors (see below), whose sum is σ = 847331232346368. Its totient is φ = 158951024824800.

The previous prime is 400434312541993. The next prime is 400434312542027. The reversal of 400434312542020 is 20245213434004.

It is a super-2 number, since 2×4004343125420202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400434312542027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76418759316 + ... + 76418764555.

It is an arithmetic number, because the mean of its divisors is an integer number (35305468014432).

Almost surely, 2400434312542020 is an apocalyptic number.

It is an amenable number.

400434312542020 is an abundant number, since it is smaller than the sum of its proper divisors (446896919804348).

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

400434312542020 is a wasteful number, since it uses less digits than its factorization.

400434312542020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152837524011 (or 152837524009 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 400434312542020 its reverse (20245213434004), we get a palindrome (420679525976024).

The spelling of 400434312542020 in words is "four hundred trillion, four hundred thirty-four billion, three hundred twelve million, five hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 152837523871 305675047742 611350095484 764187619355 1528375238710 3056750477420 20021715627101 40043431254202 80086862508404 100108578135505 200217156271010 400434312542020