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4011421304 = 23113741151199
BaseRepresentation
bin1110111100011001…
…0110111001111000
3101100120012022112102
43233012112321320
531203410440204
61502014402532
7201256342562
oct35706267170
911316168472
104011421304
111779385220
1293b500448
134bc0c0197
142a0a88332
1518727e41e
hexef196e78

4011421304 has 128 divisors (see below), whose sum is σ = 8733312000. Its totient is φ = 1710720000.

The previous prime is 4011421289. The next prime is 4011421319. The reversal of 4011421304 is 4031241104.

It is an interprime number because it is at equal distance from previous prime (4011421289) and next prime (4011421319).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20157797 + ... + 20157995.

It is an arithmetic number, because the mean of its divisors is an integer number (68229000).

Almost surely, 24011421304 is an apocalyptic number.

4011421304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011421304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366656000).

4011421304 is an abundant number, since it is smaller than the sum of its proper divisors (4721890696).

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

4011421304 is a wasteful number, since it uses less digits than its factorization.

4011421304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4011421304 is about 63335.7821772180. The cubic root of 4011421304 is about 1588.9104654213.

Adding to 4011421304 its reverse (4031241104), we get a palindrome (8042662408).

The spelling of 4011421304 in words is "four billion, eleven million, four hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 37 41 44 74 82 88 148 151 164 199 296 302 328 398 407 451 604 796 814 902 1208 1517 1592 1628 1661 1804 2189 3034 3256 3322 3608 4378 5587 6068 6191 6644 7363 8159 8756 11174 12136 12382 13288 14726 16318 16687 17512 22348 24764 29452 30049 32636 33374 44696 49528 58904 60098 61457 65272 66748 68101 80993 89749 120196 122914 133496 136202 161986 179498 229067 240392 245828 272404 301883 323972 330539 358996 458134 491656 544808 603766 647944 661078 717992 916268 1111813 1207532 1232009 1322156 1832536 2223626 2415064 2464018 2519737 2644312 3320713 4447252 4928036 5039474 6641426 8894504 9856072 10078948 12229943 13282852 13552099 20157896 24459886 26565704 27104198 45584333 48919772 54208396 91168666 97839544 108416792 182337332 364674664 501427663 1002855326 2005710652 4011421304