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210414154404 = 2234310325115773
BaseRepresentation
bin1100001111110110101…
…0010011001010100100
3202010010010100112122210
43003331222103022210
511421412010420104
6240355105323420
721126154542126
oct3037552231244
9663103315583
10210414154404
1181266339583
1234943336570
1316ac3a6570c
14a281251216
15571788e989
hex30fda932a4

210414154404 has 96 divisors (see below), whose sum is σ = 509314950144. Its totient is φ = 67567248000.

The previous prime is 210414154399. The next prime is 210414154463. The reversal of 210414154404 is 404451414012.

210414154404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 13332262 + ... + 13348034.

It is an arithmetic number, because the mean of its divisors is an integer number (5305364064).

Almost surely, 2210414154404 is an apocalyptic number.

It is an amenable number.

210414154404 is an abundant number, since it is smaller than the sum of its proper divisors (298900795740).

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

210414154404 is a wasteful number, since it uses less digits than its factorization.

210414154404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177 (or 16175 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 210414154404 its reverse (404451414012), we get a palindrome (614865568416).

The spelling of 210414154404 in words is "two hundred ten billion, four hundred fourteen million, one hundred fifty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 43 86 103 129 172 206 251 258 309 412 502 516 618 753 1004 1236 1506 3012 4429 8858 10793 13287 15773 17716 21586 25853 26574 31546 32379 43172 47319 51706 53148 63092 64758 77559 94638 103412 129516 155118 189276 310236 678239 1111679 1356478 1624619 2034717 2223358 2712956 3249238 3335037 3959023 4069434 4446716 4873857 6498476 6670074 7918046 8138868 9747714 11877069 13340148 15836092 19495428 23754138 47508276 69858617 139717234 170237989 209575851 279434468 340475978 407779369 419151702 510713967 680951956 815558738 838303404 1021427934 1223338107 1631117476 2042855868 2446676214 4893352428 17534512867 35069025734 52603538601 70138051468 105207077202 210414154404