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241113642 = 237114353229
BaseRepresentation
bin11100101111100…
…01101000101010
3121210200211201220
432113301220222
5443211114032
635531522510
75655301140
oct1627615052
9553624656
10241113642
11114114280
12688b9436
133ac509c3
1424045590
151627b12c
hexe5f1a2a

241113642 has 128 divisors (see below), whose sum is σ = 629544960. Its totient is φ = 59754240.

The previous prime is 241113641. The next prime is 241113643. The reversal of 241113642 is 246311142.

It is an interprime number because it is at equal distance from previous prime (241113641) and next prime (241113643).

It is not an unprimeable number, because it can be changed into a prime (241113641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1052784 + ... + 1053012.

It is an arithmetic number, because the mean of its divisors is an integer number (4918320).

Almost surely, 2241113642 is an apocalyptic number.

241113642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 241113642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314772480).

241113642 is an abundant number, since it is smaller than the sum of its proper divisors (388431318).

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

241113642 is a wasteful number, since it uses less digits than its factorization.

241113642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its digits is 1152, while the sum is 24.

The square root of 241113642 is about 15527.8344272471. The cubic root of 241113642 is about 622.4062251284.

Adding to 241113642 its reverse (246311142), we get a palindrome (487424784).

The spelling of 241113642 in words is "two hundred forty-one million, one hundred thirteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 53 66 77 86 106 129 154 159 229 231 258 301 318 371 458 462 473 583 602 687 742 903 946 1113 1166 1374 1419 1603 1749 1806 2226 2279 2519 2838 3206 3311 3498 4081 4558 4809 5038 6622 6837 7557 8162 9618 9847 9933 12137 12243 13674 15114 15953 17633 19694 19866 24274 24486 25069 29541 31906 35266 36411 47859 50138 52899 59082 68929 72822 75207 84959 95718 105798 108317 133507 137858 150414 169918 175483 206787 216634 254877 267014 324951 350966 400521 413574 509754 521891 526449 649902 758219 801042 934549 1043782 1052898 1516438 1565673 1869098 2274657 2803647 3131346 3653237 4549314 5607294 5740801 7306474 10959711 11481602 17222403 21919422 34444806 40185607 80371214 120556821 241113642