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401420443134420 = 2232597123419186283
BaseRepresentation
bin101101101000101101111101…
…0111010110010100111010100
31221122022102022212121202000100
41123101123322322302213110
5410103333031420300140
63541430001125014100
7150360445536232353
oct13321337272624724
91848272285552010
10401420443134420
111069a54aa15a3a6
1239031b7a254330
13142caa29594268
14711abd2d2b99a
153161d00d8d530
hex16d16faeb29d4

401420443134420 has 144 divisors (see below), whose sum is σ = 1230211592850240. Its totient is φ = 105940463044608.

The previous prime is 401420443134407. The next prime is 401420443134427. The reversal of 401420443134420 is 24431344024104.

401420443134420 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 204 + 4 + 3 + 1 + 3 + 442 + 0 = 666.

It is a super-2 number, since 2×4014204431344202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401420443134427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154802599 + ... + 2154988881.

It is an arithmetic number, because the mean of its divisors is an integer number (8543136061460).

Almost surely, 2401420443134420 is an apocalyptic number.

It is an amenable number.

401420443134420 is an abundant number, since it is smaller than the sum of its proper divisors (828791149715820).

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

401420443134420 is a wasteful number, since it uses less digits than its factorization.

401420443134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309814 (or 309809 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 401420443134420 its reverse (24431344024104), we get a palindrome (425851787158524).

The spelling of 401420443134420 in words is "four hundred one trillion, four hundred twenty billion, four hundred forty-three million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 123419 186283 246838 370257 372566 493676 558849 617095 740514 745132 931415 1110771 1117698 1234190 1481028 1676547 1851285 1862830 2221542 2235396 2468380 2794245 3353094 3702570 3725660 4443084 5553855 5588490 6706188 7405140 8382735 11107710 11176980 11971643 16765470 18069451 22215420 23943286 33530940 35914929 36138902 47886572 54208353 59858215 71829858 72277804 90347255 107744787 108416706 119716430 143659716 162625059 179574645 180694510 215489574 216833412 239432860 271041765 325250118 359149290 361389020 430979148 538723935 542083530 650500236 718298580 813125295 1077447870 1084167060 1626250590 2154895740 3252501180 22990861577 45981723154 68972584731 91963446308 114954307885 137945169462 206917754193 229908615770 275890338924 344862923655 413835508386 459817231540 689725847310 827671016772 1034588770965 1379451694620 2069177541930 2230113572969 4138355083860 4460227145938 6690340718907 8920454291876 11150567864845 13380681437814 20071022156721 22301135729690 26761362875628 33451703594535 40142044313442 44602271459380 66903407189070 80284088626884 100355110783605 133806814378140 200710221567210 401420443134420