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401414042442 = 237235915146643
BaseRepresentation
bin1011101011101100010…
…01000011001101001010
31102101010020100011120010
411311312021003031022
523034043443324232
6504223532012350
741000262030510
oct5656611031512
91371106304503
10401414042442
11145269842416
12659689010b6
132bb1259564a
14155ddccc4b0
15a695b140cc
hex5d7624334a

401414042442 has 128 divisors (see below), whose sum is σ = 980106117120. Its totient is φ = 107127345600.

The previous prime is 401414042437. The next prime is 401414042443. The reversal of 401414042442 is 244240414104.

It is a super-2 number, since 2×4014140424422 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401414042443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8582773 + ... + 8629415.

It is an arithmetic number, because the mean of its divisors is an integer number (7657079040).

Almost surely, 2401414042442 is an apocalyptic number.

401414042442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 401414042442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490053058560).

401414042442 is an abundant number, since it is smaller than the sum of its proper divisors (578692074678).

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

401414042442 is a wasteful number, since it uses less digits than its factorization.

401414042442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46888.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 401414042442 its reverse (244240414104), we get a palindrome (645654456546).

The spelling of 401414042442 in words is "four hundred one billion, four hundred fourteen million, forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 59 69 118 138 151 161 177 302 322 354 413 453 483 826 906 966 1057 1239 1357 2114 2478 2714 3171 3473 4071 6342 6946 8142 8909 9499 10419 17818 18998 20838 24311 26727 28497 46643 48622 53454 56994 62363 72933 93286 124726 139929 145866 187089 204907 279858 326501 374178 409814 614721 653002 979503 1072789 1229442 1434349 1959006 2145578 2751937 2868698 3218367 4303047 5503874 6436734 7043093 7509523 8255811 8606094 14086186 15019046 16511622 19263559 21129279 22528569 38527118 42258558 45057138 49301651 57790677 63294551 98603302 115581354 126589102 147904953 161991139 189883653 295809906 323982278 379767306 415542487 443061857 485973417 831084974 886123714 971946834 1133937973 1246627461 1329185571 2267875946 2493254922 2658371142 2908797409 3401813919 5817594818 6803627838 8726392227 9557477201 17452784454 19114954402 28672431603 57344863206 66902340407 133804680814 200707021221 401414042442