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404220141530040 = 2335111718013375291
BaseRepresentation
bin101101111101000101101010…
…1111100100110101110111000
31222000020001211200002020112110
41123322023111330212232320
5410440220322212430130
63551412100334012320
7151066640634031413
oct13372132574465670
91860201750066473
10404220141530040
11107884887995060
12394046a36470a0
1314471a46464b64
1471b6505a72b7a
1531aea60933ab0
hex16fa2d5f26bb8

404220141530040 has 128 divisors (see below), whose sum is σ = 1400720062705920. Its totient is φ = 92228481484800.

The previous prime is 404220141529991. The next prime is 404220141530059. The reversal of 404220141530040 is 40035141022404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9006665206 + ... + 9006710085.

It is an arithmetic number, because the mean of its divisors is an integer number (10943125489890).

Almost surely, 2404220141530040 is an apocalyptic number.

404220141530040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404220141530040 is an abundant number, since it is smaller than the sum of its proper divisors (996499921175880).

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

404220141530040 is a wasteful number, since it uses less digits than its factorization.

404220141530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18013375333 (or 18013375329 counting only the distinct ones).

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

Adding to 404220141530040 its reverse (40035141022404), we get a palindrome (444255282552444).

The spelling of 404220141530040 in words is "four hundred four trillion, two hundred twenty billion, one hundred forty-one million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 18013375291 36026750582 54040125873 72053501164 90066876455 108080251746 144107002328 180133752910 198147128201 216160503492 270200629365 306227379947 360267505820 396294256402 432321006984 540401258730 594441384603 612454759894 720535011640 792588512804 918682139841 990735641005 1080802517460 1188882769206 1224909519788 1531136899735 1585177025608 1837364279682 1981471282010 2161605034920 2377765538412 2449819039576 2972206923015 3062273799470 3368501179417 3674728559364 3962942564020 4593410699205 4755531076824 5944413846030 6124547598940 6737002358834 7349457118728 7925885128040 9186821398410 10105503538251 11888827692060 12249095197880 13474004717668 16842505897085 18373642796820 20211007076502 23777655384120 26948009435336 33685011794170 36747285593640 40422014153004 50527517691255 67370023588340 80844028306008 101055035382510 134740047176680 202110070765020 404220141530040