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404423223421100 = 2252132232814964569
BaseRepresentation
bin101101111110100100001111…
…0100100100010100010101100
31222000221111000210111012210012
41123331020132210202202230
5411002032230143433400
63552045244115432352
7151120420326441512
oct13375103644424254
91860844023435705
10404423223421100
11107952a20369664
1239437b1b2b56b8
1314487c3c10b5c0
1471c228d1964b2
1531b4e99725d35
hex16fd21e9228ac

404423223421100 has 144 divisors (see below), whose sum is σ = 952722747674880. Its totient is φ = 148126822502400.

The previous prime is 404423223421057. The next prime is 404423223421111. The reversal of 404423223421100 is 1124322324404.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78979616 + ... + 83944184.

Almost surely, 2404423223421100 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 404423223421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476361373837440).

404423223421100 is an abundant number, since it is smaller than the sum of its proper divisors (548299524253780).

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

404423223421100 is a wasteful number, since it uses less digits than its factorization.

404423223421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965100 (or 4965093 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 404423223421100 its reverse (1124322324404), we get a palindrome (405547545745504).

The spelling of 404423223421100 in words is "four hundred four trillion, four hundred twenty-three billion, two hundred twenty-three million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 223 260 281 325 446 562 650 892 1115 1124 1300 1405 2230 2810 2899 3653 4460 5575 5620 5798 7025 7306 11150 11596 14050 14495 14612 18265 22300 28100 28990 36530 57980 62663 72475 73060 91325 125326 144950 182650 250652 289900 313315 365300 626630 814619 1253260 1566575 1629238 3133150 3258476 4073095 4964569 6266300 8146190 9929138 16292380 19858276 20365475 24822845 40730950 49645690 64539397 81461900 99291380 124114225 129078794 248228450 258157588 322696985 496456900 645393970 1107098887 1290787940 1395043889 1613484925 2214197774 2790087778 3226969850 4428395548 5535494435 5580175556 6453939700 6975219445 11070988870 13950438890 14392285531 18135570557 22141977740 27677472175 27900877780 28784571062 34876097225 36271141114 55354944350 57569142124 69752194450 71961427655 72542282228 90677852785 110709888700 139504388900 143922855310 181355705570 287845710620 311094787247 359807138275 362711411140 453389263925 622189574494 719614276550 906778527850 1244379148988 1439228553100 1555473936235 1813557055700 3110947872470 4044232234211 6221895744940 7777369681175 8088464468422 15554739362350 16176928936844 20221161171055 31109478724700 40442322342110 80884644684220 101105805855275 202211611710550 404423223421100