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4121301024 = 2532171077867
BaseRepresentation
bin1111010110100110…
…0001000000100000
3101122012221210011200
43311221201000200
531420023113044
61520541441200
7204062323611
oct36551410040
911565853150
104121301024
111825404505
12970270200
13508ab2879
142b14cbc08
15191c36369
hexf5a61020

4121301024 has 144 divisors (see below), whose sum is σ = 12526926048. Its totient is φ = 1280710656.

The previous prime is 4121300999. The next prime is 4121301029. The reversal of 4121301024 is 4201031214.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4121300988 and 4121301006.

It is not an unprimeable number, because it can be changed into a prime (4121301029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519939 + ... + 527805.

It is an arithmetic number, because the mean of its divisors is an integer number (86992542).

Almost surely, 24121301024 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 4121301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263463024).

4121301024 is an abundant number, since it is smaller than the sum of its proper divisors (8405625024).

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

4121301024 is a wasteful number, since it uses less digits than its factorization.

4121301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8007 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4121301024 is about 64197.3599457174. The cubic root of 4121301024 is about 1603.2876441621.

Adding to 4121301024 its reverse (4201031214), we get a palindrome (8322332238).

The spelling of 4121301024 in words is "four billion, one hundred twenty-one million, three hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 107 136 144 153 204 214 272 288 306 321 408 428 544 612 642 816 856 963 1224 1284 1632 1712 1819 1926 2448 2568 3424 3638 3852 4896 5136 5457 7276 7704 7867 10272 10914 14552 15408 15734 16371 21828 23601 29104 30816 31468 32742 43656 47202 58208 62936 65484 70803 87312 94404 125872 130968 133739 141606 174624 188808 251744 261936 267478 283212 377616 401217 523872 534956 566424 755232 802434 841769 1069912 1132848 1203651 1604868 1683538 2139824 2265696 2407302 2525307 3209736 3367076 4279648 4814604 5050614 6419472 6734152 7575921 9629208 10101228 12838944 13468304 14310073 15151842 19258416 20202456 26936608 28620146 30303684 38516832 40404912 42930219 57240292 60607368 80809824 85860438 114480584 121214736 128790657 171720876 228961168 242429472 257581314 343441752 457922336 515162628 686883504 1030325256 1373767008 2060650512 4121301024