Search a number
-
+
415001234424 = 233710972251819
BaseRepresentation
bin1100000101000000000…
…00000100101111111000
31110200012011001000222210
412002200000010233320
523244410304000144
6514352100415120
741661055201230
oct6024000045770
91420164030883
10415001234424
111500014178a7
126851b0a74a0
13301994ca20a
141612c628cc0
15abdd8a3ab9
hex60a0004bf8

415001234424 has 64 divisors (see below), whose sum is σ = 1186799212800. Its totient is φ = 118463641344.

The previous prime is 415001234411. The next prime is 415001234429. The reversal of 415001234424 is 424432100514.

It is a super-2 number, since 2×4150012344242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415001234391 and 415001234400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415001234429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941614 + ... + 1310205.

It is an arithmetic number, because the mean of its divisors is an integer number (18543737700).

Almost surely, 2415001234424 is an apocalyptic number.

It is an amenable number.

415001234424 is an abundant number, since it is smaller than the sum of its proper divisors (771797978376).

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

415001234424 is a wasteful number, since it uses less digits than its factorization.

415001234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252932 (or 2252928 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 415001234424 its reverse (424432100514), we get a palindrome (839433334938).

The spelling of 415001234424 in words is "four hundred fifteen billion, one million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1097 2194 3291 4388 6582 7679 8776 13164 15358 23037 26328 30716 46074 61432 92148 184296 2251819 4503638 6755457 9007276 13510914 15762733 18014552 27021828 31525466 47288199 54043656 63050932 94576398 126101864 189152796 378305592 2470245443 4940490886 7410736329 9880981772 14821472658 17291718101 19761963544 29642945316 34583436202 51875154303 59285890632 69166872404 103750308606 138333744808 207500617212 415001234424