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4111244424 = 233475231733
BaseRepresentation
bin1111010100001100…
…1001110010001000
3101121112000212010000
43311003021302020
531404434310144
61515542123000
7203611000230
oct36503116210
911545025100
104111244424
11181a765871
12968a20460
135069a1311
142b0030cc0
15190deb769
hexf50c9c88

4111244424 has 160 divisors (see below), whose sum is σ = 13193104320. Its totient is φ = 1171718784.

The previous prime is 4111244413. The next prime is 4111244429. The reversal of 4111244424 is 4244421114.

It is a happy number.

4111244424 is a `hidden beast` number, since 411 + 1 + 244 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4111244429) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2371462 + ... + 2373194.

It is an arithmetic number, because the mean of its divisors is an integer number (82456902).

Almost surely, 24111244424 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 4111244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596552160).

4111244424 is an abundant number, since it is smaller than the sum of its proper divisors (9081859896).

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

4111244424 is a wasteful number, since it uses less digits than its factorization.

4111244424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2268 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4111244424 is about 64118.9864548715. The cubic root of 4111244424 is about 1601.9824936016.

Adding to 4111244424 its reverse (4244421114), we get a palindrome (8355665538).

The spelling of 4111244424 in words is "four billion, one hundred eleven million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 523 567 648 756 1046 1134 1512 1569 1733 2092 2268 3138 3466 3661 4184 4536 4707 5199 6276 6932 7322 9414 10398 10983 12131 12552 13864 14121 14644 15597 18828 20796 21966 24262 28242 29288 31194 32949 36393 37656 41592 42363 43932 46791 48524 56484 62388 65898 72786 84726 87864 93582 97048 98847 109179 112968 124776 131796 140373 145572 169452 187164 197694 218358 263592 280746 291144 296541 327537 338904 374328 395388 436716 561492 593082 655074 790776 873432 906359 982611 1122984 1186164 1310148 1812718 1965222 2372328 2620296 2719077 3625436 3930444 5438154 6344513 7250872 7860888 8157231 10876308 12689026 16314462 19033539 21752616 24471693 25378052 32628924 38067078 48943386 50756104 57100617 65257848 73415079 76134156 97886772 114201234 146830158 152268312 171301851 195773544 228402468 293660316 342603702 456804936 513905553 587320632 685207404 1027811106 1370414808 2055622212 4111244424