Search a number
-
+
404220544315240 = 235591317871661347
BaseRepresentation
bin101101111101000101110110…
…1111101000110111101101000
31222000020002212201222211221211
41123322023231331012331220
5410440222133321041430
63551412204323042504
7151066653624453322
oct13372135575067550
91860202781884854
10404220544315240
11107884a74292594
1239404796510434
1314471aaba400b3
1471b6543360612
1531aea85e9772a
hex16fa2edf46f68

404220544315240 has 128 divisors (see below), whose sum is σ = 933156577267200. Its totient is φ = 157533878211840.

The previous prime is 404220544315157. The next prime is 404220544315283. The reversal of 404220544315240 is 42513445022404.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 404220544315193 and 404220544315202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242478247 + ... + 244139593.

It is an arithmetic number, because the mean of its divisors is an integer number (7290285759900).

Almost surely, 2404220544315240 is an apocalyptic number.

404220544315240 is a gapful number since it is divisible by the number (40) 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 404220544315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466578288633600).

404220544315240 is an abundant number, since it is smaller than the sum of its proper divisors (528936032951960).

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

404220544315240 is a wasteful number, since it uses less digits than its factorization.

404220544315240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662335 (or 1662331 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 404220544315240 its reverse (42513445022404), we get a palindrome (446733989337644).

The spelling of 404220544315240 in words is "four hundred four trillion, two hundred twenty billion, five hundred forty-four million, three hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 131 236 262 295 472 524 590 655 787 1048 1180 1310 1574 2360 2620 3148 3935 5240 6296 7729 7870 15458 15740 30916 31480 38645 46433 61832 77290 92866 103097 154580 185732 206194 232165 309160 371464 412388 464330 515485 824776 928660 1030970 1661347 1857320 2061940 3322694 4123880 6082723 6645388 8306735 12165446 13290776 16613470 24330892 30413615 33226940 48661784 60827230 66453880 98019473 121654460 196038946 217636457 243308920 392077892 435272914 490097365 784155784 870545828 980194730 1088182285 1307480089 1741091656 1960389460 2176364570 2614960178 3920778920 4352729140 5229920356 6537400445 8705458280 10459840712 12840550963 13074800890 25681101926 26149601780 51362203852 52299203560 64202754815 77141325251 102724407704 128405509630 154282650502 171279891659 256811019260 308565301004 342559783318 385706626255 513622038520 617130602008 685119566636 771413252510 856399458295 1370239133272 1542826505020 1712798916590 3085653010040 3425597833180 6851195666360 10105513607881 20211027215762 40422054431524 50527568039405 80844108863048 101055136078810 202110272157620 404220544315240