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146204110312 = 23135974332069
BaseRepresentation
bin1000100000101001110…
…0011010110111101000
3111222101012211100010121
42020022130122313220
54343411223012222
6151055405253024
713364034301321
oct2101234326750
9458335740117
10146204110312
1157006455037
1224403564174
1310a30023ba0
14710d5ad448
153c0a7265c7
hex220a71ade8

146204110312 has 64 divisors (see below), whose sum is σ = 300637008000. Its totient is φ = 66243765504.

The previous prime is 146204110279. The next prime is 146204110331. The reversal of 146204110312 is 213011402641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543014 + ... + 4575082.

It is an arithmetic number, because the mean of its divisors is an integer number (4697453250).

Almost surely, 2146204110312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146204110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150318504000).

146204110312 is an abundant number, since it is smaller than the sum of its proper divisors (154432897688).

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

146204110312 is a wasteful number, since it uses less digits than its factorization.

146204110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32890 (or 32886 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 146204110312 its reverse (213011402641), we get a palindrome (359215512953).

The spelling of 146204110312 in words is "one hundred forty-six billion, two hundred four million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 743 767 1486 1534 2972 3068 5944 6136 9659 19318 32069 38636 43837 64138 77272 87674 128276 175348 256552 350696 416897 569881 833794 1139762 1667588 1892071 2279524 3335176 3784142 4559048 7568284 15136568 23827267 24596923 47654534 49193846 95309068 98387692 190618136 196775384 309754471 619508942 1239017884 1405808753 2478035768 2811617506 5623235012 11246470024 18275513789 36551027578 73102055156 146204110312