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4044521640 = 2335193157223
BaseRepresentation
bin1111000100010010…
…1000000010101000
3101102212110222122210
43301010220002220
531240344143030
61505200045120
7202140603165
oct36104500250
911385428583
104044521640
111796032a75
1294a6037a0
134c5c0c393
142a522306c
1518a11bbb0
hexf11280a8

4044521640 has 128 divisors (see below), whose sum is σ = 13184409600. Its totient is φ = 988796160.

The previous prime is 4044521633. The next prime is 4044521681. The reversal of 4044521640 is 461254404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4044521598 and 4044521607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42069 + ... + 99291.

It is an arithmetic number, because the mean of its divisors is an integer number (103003200).

Almost surely, 24044521640 is an apocalyptic number.

4044521640 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 4044521640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592204800).

4044521640 is an abundant number, since it is smaller than the sum of its proper divisors (9139887960).

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

4044521640 is a wasteful number, since it uses less digits than its factorization.

4044521640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57287 (or 57283 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4044521640 is about 63596.5536802113. The cubic root of 4044521640 is about 1593.2688101802.

The spelling of 4044521640 in words is "four billion, forty-four million, five hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 1140 1178 1240 1767 1860 2280 2356 2945 3534 3720 4712 5890 7068 8835 11780 14136 17670 23560 35340 57223 70680 114446 171669 228892 286115 343338 457784 572230 686676 858345 1087237 1144460 1373352 1716690 1773913 2174474 2288920 3261711 3433380 3547826 4348948 5321739 5436185 6523422 6866760 7095652 8697896 8869565 10643478 10872370 13046844 14191304 16308555 17739130 21286956 21744740 26093688 26608695 32617110 33704347 35478260 42573912 43489480 53217390 65234220 67408694 70956520 101113041 106434780 130468440 134817388 168521735 202226082 212869560 269634776 337043470 404452164 505565205 674086940 808904328 1011130410 1348173880 2022260820 4044521640