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4444130100 = 2235267221101
BaseRepresentation
bin1000010001110010…
…00000101100110100
3102110201102012102010
410020321000230310
533100144130400
62012553044220
7215062324344
oct41071005464
912421365363
104444130100
1119806607a3
12a403b6670
1355a9446a7
14302324d24
151b0254450
hex108e40b34

4444130100 has 72 divisors (see below), whose sum is σ = 13050324448. Its totient is φ = 1167408000.

The previous prime is 4444130099. The next prime is 4444130113. The reversal of 4444130100 is 10314444.

It is a congruent 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, 90451 + ... + 130650.

Almost surely, 24444130100 is an apocalyptic number.

It is an amenable number.

4444130100 is an abundant number, since it is smaller than the sum of its proper divisors (8606194348).

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

4444130100 is a wasteful number, since it uses less digits than its factorization.

4444130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221185 (or 221178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4444130100 is about 66664.3090416454. The cubic root of 4444130100 is about 1644.1026199699.

Adding to 4444130100 its reverse (10314444), we get a palindrome (4454444544).

The spelling of 4444130100 in words is "four billion, four hundred forty-four million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 221101 442202 663303 884404 1105505 1326606 2211010 2653212 3316515 4422020 5527525 6633030 11055050 13266060 14813767 16582575 22110100 29627534 33165150 44441301 59255068 66330300 74068835 88882602 148137670 177765204 222206505 296275340 370344175 444413010 740688350 888826020 1111032525 1481376700 2222065050 4444130100