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401226240613410 = 233519933347222773
BaseRepresentation
bin101101100111010011100001…
…1100010111101110000100010
31221121121212001120022111121000
41123032213003202331300202
5410042142320044112120
63541200442415012430
7150340432163106432
oct13316470342756042
91847555046274530
10401226240613410
11106930102974a53
123900040020a116
13142b561a3b3234
14711164cbbc2c2
15315bc3689a990
hex16ce9c38bdc22

401226240613410 has 128 divisors (see below), whose sum is σ = 1070798126319360. Its totient is φ = 106907548543488.

The previous prime is 401226240613403. The next prime is 401226240613511. The reversal of 401226240613410 is 14316042622104.

401226240613410 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 2 + 6 + 24 + 0 + 613 + 4 + 10 = 666.

It is a super-2 number, since 2×4012262406134102 (a number of 30 digits) contains 22 as substring.

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, 1800942784 + ... + 1801165556.

It is an arithmetic number, because the mean of its divisors is an integer number (8365610361870).

Almost surely, 2401226240613410 is an apocalyptic number.

401226240613410 is an abundant number, since it is smaller than the sum of its proper divisors (669571885705950).

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

401226240613410 is a wasteful number, since it uses less digits than its factorization.

401226240613410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228129 (or 228123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 401226240613410 in words is "four hundred one trillion, two hundred twenty-six billion, two hundred forty million, six hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1993 3347 3986 5979 6694 9965 10041 11958 16735 17937 19930 20082 29895 30123 33470 35874 50205 53811 59790 60246 89685 90369 100410 107622 150615 179370 180738 222773 269055 301230 445546 451845 538110 668319 903690 1113865 1336638 2004957 2227730 3341595 4009914 6014871 6670571 6683190 10024785 12029742 13341142 20011713 20049570 30074355 33352855 40023426 60035139 60148710 66705710 100058565 120070278 180105417 200117130 300175695 360210834 443986589 600351390 745621231 887973178 900527085 1331959767 1491242462 1801054170 2219932945 2236863693 2663919534 3728106155 3995879301 4439865890 4473727386 6659798835 6710591079 7456212310 7991758602 11184318465 11987637903 13319597670 13421182158 19979396505 20131773237 22368636930 23975275806 33552955395 39958793010 40263546474 59938189515 67105910790 100658866185 119876379030 201317732370 1486023113383 2972046226766 4458069340149 7430115566915 8916138680298 13374208020447 14860231133830 22290346700745 26748416040894 40122624061341 44580693401490 66871040102235 80245248122682 133742080204470 200613120306705 401226240613410