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4241131104 = 253724719183
BaseRepresentation
bin1111110011001010…
…1000011001100000
3101221120102210010210
43330302220121200
532141212143404
61540502054120
7210046006500
oct37462503140
911846383123
104241131104
11188700a631
129a441a340
1352787a342
142c33a1a00
1519c506689
hexfcca8660

4241131104 has 144 divisors (see below), whose sum is σ = 13226830848. Its totient is φ = 1185907968.

The previous prime is 4241131087. The next prime is 4241131121. The reversal of 4241131104 is 4011311424.

It is an interprime number because it is at equal distance from previous prime (4241131087) and next prime (4241131121).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211497 + ... + 230679.

It is an arithmetic number, because the mean of its divisors is an integer number (91852992).

Almost surely, 24241131104 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 4241131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613415424).

4241131104 is an abundant number, since it is smaller than the sum of its proper divisors (8985699744).

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

4241131104 is a wasteful number, since it uses less digits than its factorization.

4241131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4241131104 is about 65123.9672010236. The cubic root of 4241131104 is about 1618.6783794950.

Adding to 4241131104 its reverse (4011311424), we get a palindrome (8252442528).

The spelling of 4241131104 in words is "four billion, two hundred forty-one million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 188 196 224 282 294 329 336 376 392 564 588 658 672 752 784 987 1128 1176 1316 1504 1568 1974 2256 2303 2352 2632 3948 4512 4606 4704 5264 6909 7896 9212 10528 13818 15792 18424 19183 27636 31584 36848 38366 55272 57549 73696 76732 110544 115098 134281 153464 221088 230196 268562 306928 402843 460392 537124 613856 805686 901601 920784 939967 1074248 1611372 1803202 1841568 1879934 2148496 2704803 2819901 3222744 3606404 3759868 4296992 5409606 5639802 6311207 6445488 7212808 7519736 10819212 11279604 12622414 12890976 14425616 15039472 18933621 21638424 22559208 25244828 28851232 30078944 37867242 43276848 44178449 45118416 50489656 75734484 86553696 88356898 90236832 100979312 132535347 151468968 176713796 201958624 265070694 302937936 353427592 530141388 605875872 706855184 1060282776 1413710368 2120565552 4241131104