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403023241134140 = 2251110163128744627
BaseRepresentation
bin101101110100011000010100…
…1000111111100000000111100
31221211222122102121211100000212
41123220300221013330000330
5410311113044212243030
63545054153200411552
7150614316423364124
oct13350605107740074
91854878377740025
10403023241134140
1110746321890a450
1239250730016bb8
13143b5c0c096c23
14717460107bc84
15318d85ce14595
hex16e8c291fc03c

403023241134140 has 96 divisors (see below), whose sum is σ = 933908824493568. Its totient is φ = 144872915040000.

The previous prime is 403023241134119. The next prime is 403023241134169. The reversal of 403023241134140 is 41431142320304.

It is a super-2 number, since 2×4030232411341402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 403023241134097 and 403023241134106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351494 + ... + 28393133.

It is an arithmetic number, because the mean of its divisors is an integer number (9728216921808).

Almost surely, 2403023241134140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403023241134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466954412246784).

403023241134140 is an abundant number, since it is smaller than the sum of its proper divisors (530885583359428).

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

403023241134140 is a wasteful number, since it uses less digits than its factorization.

403023241134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28745379 (or 28745377 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 403023241134140 its reverse (41431142320304), we get a palindrome (444454383454444).

The spelling of 403023241134140 in words is "four hundred three trillion, twenty-three billion, two hundred forty-one million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 631 1010 1111 1262 2020 2222 2524 3155 4444 5555 6310 6941 11110 12620 13882 22220 27764 34705 63731 69410 127462 138820 254924 318655 637310 701041 1274620 1402082 2804164 3505205 7010410 14020820 28744627 57489254 114978508 143723135 287446270 316190897 574892540 632381794 1264763588 1580954485 2903207327 3161908970 5806414654 6323817940 11612829308 14516036635 18137859637 29032073270 31935280597 36275719274 58064146540 63870561194 72551438548 90689298185 127741122388 159676402985 181378596370 199516456007 319352805970 362757192740 399032912014 638705611940 798065824028 997582280035 1831923823337 1995164560070 3663847646674 3990329120140 7327695293348 9159619116685 18319238233370 20151162056707 36638476466740 40302324113414 80604648226828 100755810283535 201511620567070 403023241134140