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4141120224 = 253199372423
BaseRepresentation
bin1111011011010100…
…0111101011100000
3101200121020201000010
43312311013223200
531440111321344
61522530324520
7204422640543
oct36665075340
911617221003
104141120224
111835610a0a
12976a29740
1350cc318c7
142b3daa85a
1519384d8b9
hexf6d47ae0

4141120224 has 96 divisors (see below), whose sum is σ = 11459508480. Its totient is φ = 1305787392.

The previous prime is 4141120223. The next prime is 4141120229. The reversal of 4141120224 is 4220211414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4141120224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141120223) 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, 1707877 + ... + 1710299.

It is an arithmetic number, because the mean of its divisors is an integer number (119369880).

Almost surely, 24141120224 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 4141120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729754240).

4141120224 is an abundant number, since it is smaller than the sum of its proper divisors (7318388256).

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

4141120224 is a wasteful number, since it uses less digits than its factorization.

4141120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4141120224 is about 64351.5362986774. The cubic root of 4141120224 is about 1605.8535877448.

Adding to 4141120224 its reverse (4220211414), we get a palindrome (8361331638).

The spelling of 4141120224 in words is "four billion, one hundred forty-one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 937 1824 1874 2423 2811 3748 4846 5622 7269 7496 9692 11244 14538 14992 17803 19384 22488 29076 29984 35606 38768 44976 46037 53409 58152 71212 77536 89952 92074 106818 116304 138111 142424 184148 213636 232608 276222 284848 368296 427272 552444 569696 736592 854544 1104888 1473184 1709088 2209776 2270351 4419552 4540702 6811053 9081404 13622106 18162808 27244212 36325616 43136669 54488424 72651232 86273338 108976848 129410007 172546676 217953696 258820014 345093352 517640028 690186704 1035280056 1380373408 2070560112 4141120224