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4404131050242 = 23711127293256181
BaseRepresentation
bin100000000010110101010…
…1010101011001100000010
3120121000211110120011111210
41000011222222223030002
51034124130022101432
613211121352550550
7633121321154310
oct100055252531402
916530743504453
104404131050242
111448866187180
125b16726b2456
1325c400250cb1
1411323800b0b0
15798653b38cc
hex4016aaab302

4404131050242 has 128 divisors (see below), whose sum is σ = 11106018459648. Its totient is φ = 1131044947200.

The previous prime is 4404131050237. The next prime is 4404131050259. The reversal of 4404131050242 is 2420501314044.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17063392 + ... + 17319572.

It is an arithmetic number, because the mean of its divisors is an integer number (86765769216).

Almost surely, 24404131050242 is an apocalyptic number.

4404131050242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404131050242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553009229824).

4404131050242 is an abundant number, since it is smaller than the sum of its proper divisors (6701887409406).

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

4404131050242 is a wasteful number, since it uses less digits than its factorization.

4404131050242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256624.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4404131050242 its reverse (2420501314044), we get a palindrome (6824632364286).

The spelling of 4404131050242 in words is "four trillion, four hundred four billion, one hundred thirty-one million, fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 127 154 231 254 293 381 462 586 762 879 889 1397 1758 1778 2051 2667 2794 3223 4102 4191 5334 6153 6446 8382 9669 9779 12306 19338 19558 22561 29337 37211 45122 58674 67683 74422 111633 135366 223266 256181 260477 409321 512362 520954 768543 781431 818642 1227963 1537086 1562862 1793267 2455926 2817991 2865247 3586534 5379801 5635982 5730494 8453973 8595741 10759602 16907946 17191482 19725937 32534987 39451874 59177811 65069974 75061033 97604961 118355622 150122066 195209922 225183099 227744909 357884857 450366198 455489818 525427231 683234727 715769714 825671363 1050854462 1073654571 1366469454 1576281693 1651342726 2147309142 2477014089 2505193999 3152563386 4954028178 5010387998 5779699541 7515581997 9532751191 11559399082 15031163994 17339098623 19065502382 28598253573 34678197246 57196507146 66729258337 104860263101 133458516674 200187775011 209720526202 314580789303 400375550022 629161578606 734021841707 1468043683414 2202065525121 4404131050242