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4144043020 = 22513411273061
BaseRepresentation
bin1111011100000001…
…0001010000001100
3101200210202012022211
43313000101100030
531441333334040
61523113120204
7204456533035
oct36700212014
911623665284
104144043020
111837227947
129779b9064
13510716080
142b452ba8c
15193c298ea
hexf701140c

4144043020 has 96 divisors (see below), whose sum is σ = 9679251456. Its totient is φ = 1480550400.

The previous prime is 4144042997. The next prime is 4144043081. The reversal of 4144043020 is 203404414.

It is a super-2 number, since 2×41440430202 = 34346185103221440800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4144042982 and 4144043000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1352290 + ... + 1355350.

It is an arithmetic number, because the mean of its divisors is an integer number (100825536).

Almost surely, 24144043020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839625728).

4144043020 is an abundant number, since it is smaller than the sum of its proper divisors (5535208436).

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

4144043020 is a wasteful number, since it uses less digits than its factorization.

4144043020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4144043020 is about 64374.2418984488. The cubic root of 4144043020 is about 1606.2313018561.

Adding to 4144043020 its reverse (203404414), we get a palindrome (4347447434).

The spelling of 4144043020 in words is "four billion, one hundred forty-four million, forty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 127 130 164 205 254 260 410 508 533 635 820 1066 1270 1651 2132 2540 2665 3061 3302 5207 5330 6122 6604 8255 10414 10660 12244 15305 16510 20828 26035 30610 33020 39793 52070 61220 67691 79586 104140 125501 135382 159172 198965 251002 270764 338455 388747 397930 502004 627505 676910 777494 795860 1255010 1353820 1554988 1631513 1943735 2510020 3263026 3887470 5053711 6526052 7774940 8157565 10107422 15938627 16315130 20214844 25268555 31877254 32630260 50537110 63754508 79693135 101074220 159386270 207202151 318772540 414404302 828808604 1036010755 2072021510 4144043020