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441412444100 = 225219317494269
BaseRepresentation
bin1100110110001100011…
…10110101111111000100
31120012100210101111112202
412123012032311333010
524213003041202400
6534440532334032
743614416603435
oct6330616657704
91505323344482
10441412444100
111602248a9611
1271670174318
1332818208534
14175161a148c
15b7373d24d5
hex66c63b5fc4

441412444100 has 72 divisors (see below), whose sum is σ = 1040804217600. Its totient is φ = 161876188800.

The previous prime is 441412444061. The next prime is 441412444129. The reversal of 441412444100 is 1444214144.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3688235 + ... + 3806034.

Almost surely, 2441412444100 is an apocalyptic number.

It is an amenable number.

441412444100 is an abundant number, since it is smaller than the sum of its proper divisors (599391773500).

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

441412444100 is a wasteful number, since it uses less digits than its factorization.

441412444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494333 (or 7494326 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 441412444100 its reverse (1444214144), we get a palindrome (442856658244).

The spelling of 441412444100 in words is "four hundred forty-one billion, four hundred twelve million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 775 950 1178 1550 1900 2356 2945 3100 5890 11780 14725 29450 58900 7494269 14988538 29977076 37471345 74942690 142391111 149885380 187356725 232322339 284782222 374713450 464644678 569564444 711955555 749426900 929289356 1161611695 1423911110 2323223390 2847822220 3559777775 4414124441 4646446780 5808058475 7119555550 8828248882 11616116950 14239111100 17656497764 22070622205 23232233900 44141244410 88282488820 110353111025 220706222050 441412444100