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401422124141430 = 235719481320903189
BaseRepresentation
bin101101101000101110101111…
…1000111010100101101110110
31221122022120200000201202010020
41123101131133013110231312
5410103400002240011210
63541430440014510010
7150360535310451420
oct13321353707245566
91848276600652106
10401422124141430
111069a619202a897
1239032369205306
13142cac36920872
14711ad122ab810
153161d9d73e770
hex16d175f1d4b76

401422124141430 has 128 divisors (see below), whose sum is σ = 1159234060723200. Its totient is φ = 86906425526784.

The previous prime is 401422124141407. The next prime is 401422124141443. The reversal of 401422124141430 is 34141421224104.

It is a super-2 number, since 2×4014221241414302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401422124141391 and 401422124141400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8752276 + ... + 29655464.

It is an arithmetic number, because the mean of its divisors is an integer number (9056516099400).

Almost surely, 2401422124141430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401422124141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579617030361600).

401422124141430 is an abundant number, since it is smaller than the sum of its proper divisors (757811936581770).

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

401422124141430 is a wasteful number, since it uses less digits than its factorization.

401422124141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20908038.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 401422124141430 its reverse (34141421224104), we get a palindrome (435563545365534).

The spelling of 401422124141430 in words is "four hundred one trillion, four hundred twenty-two billion, one hundred twenty-four million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 4813 9626 14439 24065 28878 33691 48130 67382 72195 91447 101073 144390 168455 182894 202146 274341 336910 457235 505365 548682 640129 914470 1010730 1280258 1371705 1920387 2743410 3200645 3840774 6401290 9601935 19203870 20903189 41806378 62709567 104515945 125419134 146322323 209031890 292644646 313547835 397160591 438966969 627095670 731611615 794321182 877933938 1191481773 1463223230 1985802955 2194834845 2382963546 2780124137 3971605910 4389669690 5560248274 5957408865 8340372411 11914817730 13900620685 16680744822 27801241370 41701862055 83403724110 100607048657 201214097314 301821145971 503035243285 603642291942 704249340599 1006070486570 1408498681198 1509105729855 1911533924483 2112748021797 3018211459710 3521246702995 3823067848966 4225496043594 5734601773449 7042493405990 9557669622415 10563740108985 11469203546898 13380737471381 19115339244830 21127480217970 26761474942762 28673008867245 40142212414143 57346017734490 66903687356905 80284424828286 133807374713810 200711062070715 401422124141430