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4043141244 = 2234611571303
BaseRepresentation
bin1111000011111101…
…0111000001111100
3101102202212212010000
43300333113001330
531240021004434
61505110314300
7202123063542
oct36077270174
911382785100
104043141244
11179527a94a
1294a058990
134c5847c8c
142a4d83d92
15189e47b99
hexf0fd707c

4043141244 has 120 divisors (see below), whose sum is σ = 10819564448. Its totient is φ = 1316165760.

The previous prime is 4043141239. The next prime is 4043141261. The reversal of 4043141244 is 4421413404.

4043141244 is a `hidden beast` number, since 404 + 3 + 14 + 1 + 244 = 666.

It is a super-2 number, since 2×40431412442 = 32693982237867735072, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 3102297 + ... + 3103599.

Almost surely, 24043141244 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 4043141244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409782224).

4043141244 is an abundant number, since it is smaller than the sum of its proper divisors (6776423204).

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

4043141244 is a wasteful number, since it uses less digits than its factorization.

4043141244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4043141244 is about 63585.6999961469. The cubic root of 4043141244 is about 1593.0875285729.

Adding to 4043141244 its reverse (4421413404), we get a palindrome (8464554648).

The spelling of 4043141244 in words is "four billion, forty-three million, one hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 157 162 183 244 314 324 366 471 549 628 732 942 1098 1303 1413 1647 1884 2196 2606 2826 3294 3909 4239 4941 5212 5652 6588 7818 8478 9577 9882 11727 12717 15636 16956 19154 19764 23454 25434 28731 35181 38308 46908 50868 57462 70362 79483 86193 105543 114924 140724 158966 172386 204571 211086 238449 258579 317932 344772 409142 422172 476898 517158 613713 715347 775737 818284 953796 1034316 1227426 1430694 1551474 1841139 2146041 2454852 2861388 3102948 3682278 4292082 5523417 6438123 7364556 8584164 11046834 12478831 12876246 16570251 22093668 24957662 25752492 33140502 37436493 49915324 66281004 74872986 112309479 149745972 224618958 336928437 449237916 673856874 1010785311 1347713748 2021570622 4043141244