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4401728880 = 243540145737
BaseRepresentation
bin1000001100101110…
…10000110101110000
3102100202121222212120
410012113100311300
533003320311010
62004440154240
7214036035543
oct40627206560
912322558776
104401728880
11195973006a
12a2a168980
13551c19c03
142da84885a
151ab67ae70
hex1065d0d70

4401728880 has 80 divisors (see below), whose sum is σ = 13679686944. Its totient is φ = 1170841600.

The previous prime is 4401728869. The next prime is 4401728887. The reversal of 4401728880 is 888271044.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401728887) 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, 73372 + ... + 119108.

Almost surely, 24401728880 is an apocalyptic number.

4401728880 is a gapful number since it is divisible by the number (40) 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 4401728880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839843472).

4401728880 is an abundant number, since it is smaller than the sum of its proper divisors (9277958064).

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

4401728880 is a wasteful number, since it uses less digits than its factorization.

4401728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46154 (or 46148 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 4401728880 is about 66345.5264505453. The cubic root of 4401728880 is about 1638.8571355453.

The spelling of 4401728880 in words is "four billion, four hundred one million, seven hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 16040 19248 24060 32080 45737 48120 91474 96240 137211 182948 228685 274422 365896 457370 548844 686055 731792 914740 1097688 1372110 1829480 2195376 2744220 3658960 5488440 10976880 18340537 36681074 55021611 73362148 91702685 110043222 146724296 183405370 220086444 275108055 293448592 366810740 440172888 550216110 733621480 880345776 1100432220 1467242960 2200864440 4401728880