Search a number
-
+
40230142000420 = 225414091000711987
BaseRepresentation
bin10010010010110110011110…
…10100101011110100100100
312021102222000202200222010211
421021123033110223310210
520233112312323003140
6221321245550025204
711321350264551001
oct1111331724536444
9167388022628124
1040230142000420
11119005643a8319
124618a551a8204
13195a8bc509738
149d121380a8a8
1549b7294b92ea
hex2496cf52bd24

40230142000420 has 96 divisors (see below), whose sum is σ = 86771372808960. Its totient is φ = 15658310952960.

The previous prime is 40230142000409. The next prime is 40230142000423. The reversal of 40230142000420 is 2400024103204.

It is a happy number.

40230142000420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×402301420004203 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40230142000391 and 40230142000400.

It is not an unprimeable number, because it can be changed into a prime (40230142000423) by changing a digit.

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, 3356141667 + ... + 3356153653.

It is an arithmetic number, because the mean of its divisors is an integer number (903868466760).

Almost surely, 240230142000420 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 40230142000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43385686404480).

40230142000420 is an abundant number, since it is smaller than the sum of its proper divisors (46541230808540).

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

40230142000420 is a wasteful number, since it uses less digits than its factorization.

40230142000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22453 (or 22451 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40230142000420 its reverse (2400024103204), we get a palindrome (42630166103624).

The spelling of 40230142000420 in words is "forty trillion, two hundred thirty billion, one hundred forty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 41 82 164 205 409 410 818 820 1636 2045 4090 8180 10007 11987 16769 20014 23974 33538 40028 47948 50035 59935 67076 83845 100070 119870 167690 200140 239740 335380 410287 491467 820574 982934 1641148 1965868 2051435 2457335 4092863 4102870 4902683 4914670 8185726 8205740 9805366 9829340 16371452 19610732 20464315 24513415 40928630 49026830 81857260 98053660 119953909 167807383 201010003 239907818 335614766 402020006 479815636 599769545 671229532 804040012 839036915 1005050015 1199539090 1678073830 2010100030 2399078180 3356147660 4020200060 4918110269 9836220538 19672441076 24590551345 49061148781 49181102690 98122297562 98362205380 196244595124 245305743905 490611487810 981222975620 2011507100021 4023014200042 8046028400084 10057535500105 20115071000210 40230142000420