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4455100144 = 2411376710211
BaseRepresentation
bin1000010011000101…
…10110111011110000
3102111111001112111001
410021202312323300
533111001201034
62014024131344
7215254504105
oct41142667360
912444045431
104455100144
111986873750
12a44006b54
1355ccb5941
1430397caac
151b11bea14
hex1098b6ef0

4455100144 has 80 divisors (see below), whose sum is σ = 9816264576. Its totient is φ = 1940716800.

The previous prime is 4455100141. The next prime is 4455100201. The reversal of 4455100144 is 4410015544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4455100141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431199 + ... + 441409.

Almost surely, 24455100144 is an apocalyptic number.

4455100144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4455100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908132288).

4455100144 is an abundant number, since it is smaller than the sum of its proper divisors (5361164432).

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

4455100144 is a wasteful number, since it uses less digits than its factorization.

4455100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 4455100144 is about 66746.5365693232. The cubic root of 4455100144 is about 1645.4542949408.

Adding to 4455100144 its reverse (4410015544), we get a palindrome (8865115688).

The spelling of 4455100144 in words is "four billion, four hundred fifty-five million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 37 44 67 74 88 134 148 176 268 296 407 536 592 737 814 1072 1474 1628 2479 2948 3256 4958 5896 6512 9916 10211 11792 19832 20422 27269 39664 40844 54538 81688 109076 112321 163376 218152 224642 377807 436304 449284 684137 755614 898568 1368274 1511228 1797136 2736548 3022456 4155877 5473096 6044912 7525507 8311754 10946192 15051014 16623508 25313069 30102028 33247016 50626138 60204056 66494032 101252276 120408112 202504552 278443759 405009104 556887518 1113775036 2227550072 4455100144