Search a number
-
+
4031244144 = 2432472232671
BaseRepresentation
bin1111000001000111…
…1110011101110000
3101101221111102100200
43300101332131300
531223444303034
61504003315200
7201620003244
oct36021763560
911357442320
104031244144
111789594434
1294607bb00
134c3240a85
142a3568424
15188d97a99
hexf047e770

4031244144 has 120 divisors (see below), whose sum is σ = 11577925632. Its totient is φ = 1308769920.

The previous prime is 4031244121. The next prime is 4031244149. The reversal of 4031244144 is 4414421304.

4031244144 is a `hidden beast` number, since 403 + 1 + 244 + 14 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031244149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507929 + ... + 1510599.

Almost surely, 24031244144 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 4031244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788962816).

4031244144 is an abundant number, since it is smaller than the sum of its proper divisors (7546681488).

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

4031244144 is a wasteful number, since it uses less digits than its factorization.

4031244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4031244144 is about 63492.0793800298. The cubic root of 4031244144 is about 1591.5234194607.

Adding to 4031244144 its reverse (4414421304), we get a palindrome (8445665448).

The spelling of 4031244144 in words is "four billion, thirty-one million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 223 282 376 423 446 564 669 752 846 892 1128 1338 1692 1784 2007 2256 2671 2676 3384 3568 4014 5342 5352 6768 8013 8028 10481 10684 10704 16026 16056 20962 21368 24039 31443 32052 32112 41924 42736 48078 62886 64104 83848 94329 96156 125537 125772 128208 167696 188658 192312 251074 251544 376611 377316 384624 502148 503088 595633 753222 754632 1004296 1129833 1191266 1506444 1509264 1786899 2008592 2259666 2382532 3012888 3573798 4519332 4765064 5360697 6025776 7147596 9038664 9530128 10721394 14295192 18077328 21442788 27994751 28590384 42885576 55989502 83984253 85771152 111979004 167968506 223958008 251952759 335937012 447916016 503905518 671874024 1007811036 1343748048 2015622072 4031244144