Search a number
-
+
412124430112140 = 223534612870369143
BaseRepresentation
bin101110110110100110011001…
…0010000101001010110001100
32000001012201012010112211211010
41131231030302100221112030
5413004221313102042030
64020303203254125220
7152544002366312154
oct13555146220512614
92001181163484733
10412124430112140
1110a351a97811419
123a280585950810
13148c6222b9ba15
1473aad00a85764
15329a47edda6b0
hex176d33242958c

412124430112140 has 96 divisors (see below), whose sum is σ = 1154338728431616. Its totient is φ = 109862677546240.

The previous prime is 412124430112093. The next prime is 412124430112147. The reversal of 412124430112140 is 41211034421214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 412124430112098 and 412124430112107.

It is not an unprimeable number, because it can be changed into a prime (412124430112147) 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, 5960430409 + ... + 5960499551.

It is an arithmetic number, because the mean of its divisors is an integer number (12024361754496).

Almost surely, 2412124430112140 is an apocalyptic number.

It is an amenable number.

412124430112140 is an abundant number, since it is smaller than the sum of its proper divisors (742214298319476).

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

412124430112140 is a wasteful number, since it uses less digits than its factorization.

412124430112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101319 (or 101317 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 412124430112140 its reverse (41211034421214), we get a palindrome (453335464533354).

The spelling of 412124430112140 in words is "four hundred twelve trillion, one hundred twenty-four billion, four hundred thirty million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3461 6922 10383 13844 17305 20766 28703 34610 41532 51915 57406 69143 69220 86109 103830 114812 138286 143515 172218 207429 207660 276572 287030 344436 345715 414858 430545 574060 691430 829716 861090 1037145 1382860 1722180 2074290 4148580 99341083 198682166 239303923 298023249 397364332 478607846 496705415 596046498 717911769 957215692 993410830 1192092996 1196519615 1435823538 1490116245 1984611529 1986821660 2393039230 2871647076 2980232490 3589558845 3969223058 4786078460 5953834587 5960464980 7179117690 7938446116 9923057645 11907669174 14358235380 19846115290 23815338348 29769172935 39692230580 59538345870 119076691740 6868740501869 13737481003738 20606221505607 27474962007476 34343702509345 41212443011214 68687405018690 82424886022428 103031107528035 137374810037380 206062215056070 412124430112140