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401142300402030 = 235111976479537049
BaseRepresentation
bin101101100110101100011100…
…0010100011110000101101110
31221121022211101121222221201020
41123031120320110132011232
5410034303412400331110
63541054121224555010
7150331401105065205
oct13315307024360556
91847284347887636
10401142300402030
111068a8548900830
1238ba8094922a66
13142aa730b616c5
14710b568a1423c
153159972516d70
hex16cd63851e16e

401142300402030 has 128 divisors (see below), whose sum is σ = 1057226397004800. Its totient is φ = 96603429565440.

The previous prime is 401142300401977. The next prime is 401142300402049. The reversal of 401142300402030 is 30204003241104.

It is a congruent number.

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, 37292946 + ... + 46829994.

It is an arithmetic number, because the mean of its divisors is an integer number (8259581226600).

Almost surely, 2401142300402030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401142300402030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528613198502400).

401142300402030 is an abundant number, since it is smaller than the sum of its proper divisors (656084096602770).

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

401142300402030 is a wasteful number, since it uses less digits than its factorization.

401142300402030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537914.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 401142300402030 its reverse (30204003241104), we get a palindrome (431346303643134).

The spelling of 401142300402030 in words is "four hundred one trillion, one hundred forty-two billion, three hundred million, four hundred two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 197 330 394 591 647 985 1182 1294 1941 1970 2167 2955 3235 3882 4334 5910 6470 6501 7117 9705 10835 13002 14234 19410 21351 21670 32505 35585 42702 65010 71170 106755 127459 213510 254918 382377 637295 764754 1274590 1402049 1911885 2804098 3823770 4206147 7010245 8412294 9537049 14020490 19074098 21030735 28611147 42061470 47685245 57222294 95370490 104907539 143055735 209815078 286111470 314722617 524537695 629445234 1049075390 1573613085 1878798653 3147226170 3757597306 5636395959 6170470703 9393993265 11272791918 12340941406 18511412109 18787986530 20666785183 28181979795 30852353515 37022824218 41333570366 56363959590 61704707030 62000355549 67875177733 92557060545 103333925915 124000711098 135750355466 185114121090 203625533199 206667851830 310001777745 339375888665 407251066398 620003555490 678751777330 1018127665995 1215582728491 2036255331990 2431165456982 3646748185473 6077913642455 7293496370946 12155827284910 13371410013401 18233740927365 26742820026802 36467481854730 40114230040203 66857050067005 80228460080406 133714100134010 200571150201015 401142300402030