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3230400203142 = 237313991122001
BaseRepresentation
bin101111000000100010110…
…110110100100110000110
3102102211020010220021211020
4233000202312310212012
5410411324423000032
610512005251252010
7452250220446000
oct57004266644606
912384203807736
103230400203142
111036006775502
124420a65aa006
131a58190c7058
14b24d063b370
155906b9e5b2c
hex2f022db4986

3230400203142 has 64 divisors (see below), whose sum is σ = 7539853440000. Its totient is φ = 922310928000.

The previous prime is 3230400203113. The next prime is 3230400203143. The reversal of 3230400203142 is 2413020040323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230400203143) 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 31 ways as a sum of consecutive naturals, for example, 2318142 + ... + 3440142.

It is an arithmetic number, because the mean of its divisors is an integer number (117810210000).

Almost surely, 23230400203142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230400203142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769926720000).

3230400203142 is an abundant number, since it is smaller than the sum of its proper divisors (4309453236858).

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

3230400203142 is a wasteful number, since it uses less digits than its factorization.

3230400203142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123426 (or 1123412 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3230400203142 its reverse (2413020040323), we get a palindrome (5643420243465).

The spelling of 3230400203142 in words is "three trillion, two hundred thirty billion, four hundred million, two hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 1399 2058 2798 4197 8394 9793 19586 29379 58758 68551 137102 205653 411306 479857 959714 1122001 1439571 2244002 2879142 3366003 6732006 7854007 15708014 23562021 47124042 54978049 109956098 164934147 329868294 384846343 769692686 1154539029 1569679399 2309078058 3139358798 4709038197 9418076394 10987755793 21975511586 32963267379 65926534758 76914290551 153828581102 230742871653 461485743306 538400033857 1076800067714 1615200101571 3230400203142