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404104422010240 = 2757278173242689
BaseRepresentation
bin101101111100001111110010…
…0100001101010110110000000
31221222211000010222101112222201
41123320133210201222312000
5410431321324013311430
63551243001511042544
7151055403202243210
oct13370374441526600
91858730128345881
10404104422010240
1110783a7a5276086
12393a6189370454
1314463b64024313
1471b0a89012240
1531aba3b6588ca
hex16f87e486ad80

404104422010240 has 128 divisors (see below), whose sum is σ = 1104111041140800. Its totient is φ = 138545064050688.

The previous prime is 404104422010187. The next prime is 404104422010259. The reversal of 404104422010240 is 42010224401404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 404104422010199 and 404104422010208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122998816 + ... + 126241504.

Almost surely, 2404104422010240 is an apocalyptic number.

404104422010240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404104422010240 is an abundant number, since it is smaller than the sum of its proper divisors (700006619130560).

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

404104422010240 is a wasteful number, since it uses less digits than its factorization.

404104422010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270532 (or 3270520 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 404104422010240 its reverse (42010224401404), we get a palindrome (446114646411644).

The spelling of 404104422010240 in words is "four hundred four trillion, one hundred four billion, four hundred twenty-two million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 27817 55634 111268 139085 194719 222536 278170 389438 445072 556340 778876 890144 973595 1112680 1557752 1780288 1947190 2225360 3115504 3242689 3560576 3894380 4450720 6231008 6485378 7788760 8901440 12462016 12970756 15577520 16213445 17802880 22698823 24924032 25941512 31155040 32426890 45397646 51883024 62310080 64853780 90795292 103766048 113494115 124620160 129707560 181590584 207532096 226988230 259415120 363181168 415064192 453976460 518830240 726362336 907952920 1037660480 1452724672 1815905840 2075320960 2905449344 3631811680 7263623360 14527246720 90201879913 180403759826 360807519652 451009399565 631413159391 721615039304 902018799130 1262826318782 1443230078608 1804037598260 2525652637564 2886460157216 3157065796955 3608075196520 5051305275128 5772920314432 6314131593910 7216150393040 10102610550256 11545840628864 12628263187820 14432300786080 20205221100512 25256526375640 28864601572160 40410442201024 50513052751280 57729203144320 80820884402048 101026105502560 202052211005120 404104422010240