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401105424330 = 232513418361589
BaseRepresentation
bin1011101011000111011…
…11110000111111001010
31102100022201121202002200
411311203233300333022
523032430442034310
6504133145141030
740656523565322
oct5654357607712
91370281552080
10401105424330
11145120612026
12658a148a776
132ba9366ac90
14155b0d14282
15a6789a19c0
hex5d63bf0fca

401105424330 has 96 divisors (see below), whose sum is σ = 1150487891280. Its totient is φ = 96325493760.

The previous prime is 401105424301. The next prime is 401105424353. The reversal of 401105424330 is 33424501104.

It is a happy number.

401105424330 is a `hidden beast` number, since 4 + 0 + 110 + 542 + 4 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14371933689 + 386733490641 = 119883^2 + 621879^2 .

It is a super-2 number, since 2×4011054243302 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401105424294 and 401105424303.

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, 4132825 + ... + 4228764.

Almost surely, 2401105424330 is an apocalyptic number.

401105424330 is an abundant number, since it is smaller than the sum of its proper divisors (749382466950).

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

401105424330 is a wasteful number, since it uses less digits than its factorization.

401105424330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361656 (or 8361653 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 401105424330 its reverse (33424501104), we get a palindrome (434529925434).

The spelling of 401105424330 in words is "four hundred one billion, one hundred five million, four hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1845 2665 3198 3690 4797 5330 7995 9594 15990 23985 47970 8361589 16723178 25084767 41807945 50169534 75254301 83615890 108700657 125423835 150508602 217401314 250847670 326101971 342825149 376271505 543503285 652203942 685650298 752543010 978305913 1028475447 1087006570 1630509855 1714125745 1956611826 2056950894 3085426341 3261019710 3428251490 4456726937 4891529565 5142377235 6170852682 8913453874 9783059130 10284754470 13370180811 15427131705 22283634685 26740361622 30854263410 40110542433 44567269370 66850904055 80221084866 133701808110 200552712165 401105424330