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404314241104 = 24236773224633
BaseRepresentation
bin1011110001000110000…
…00011011100001010000
31102122121100120112012101
411320203000123201100
523111013421203404
6505423413210144
741132166226264
oct5704300334120
91378540515171
10404314241104
11146517937614
1266438030954
132c1853a5927
14157d71560a4
15a7b55422a4
hex5e2301b850

404314241104 has 80 divisors (see below), whose sum is σ = 840986566272. Its totient is φ = 187871422464.

The previous prime is 404314241087. The next prime is 404314241117. The reversal of 404314241104 is 401142413404.

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, 1687572 + ... + 1912204.

Almost surely, 2404314241104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404314241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420493283136).

404314241104 is an abundant number, since it is smaller than the sum of its proper divisors (436672325168).

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

404314241104 is a wasteful number, since it uses less digits than its factorization.

404314241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224804 (or 224798 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 404314241104 its reverse (401142413404), we get a palindrome (805456654508).

It can be divided in two parts, 40431424 and 1104, that added together give a triangular number (40432528 = T8992).

The spelling of 404314241104 in words is "four hundred four billion, three hundred fourteen million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 46 67 73 92 134 146 184 268 292 368 536 584 1072 1168 1541 1679 3082 3358 4891 6164 6716 9782 12328 13432 19564 24656 26864 39128 78256 112493 224633 224986 449266 449972 898532 899944 1797064 1799888 3594128 5166559 10333118 15050411 16398209 20666236 30100822 32796418 41332472 60201644 65592836 82664944 120403288 131185672 240806576 262371344 346159453 377158807 692318906 754317614 1098680003 1384637812 1508635228 2197360006 2769275624 3017270456 4394720012 5538551248 6034540912 8789440024 17578880048 25269640069 50539280138 101078560276 202157120552 404314241104