Search a number
-
+
10004124440 = 235614100051
BaseRepresentation
bin10010101000100101…
…01101001100011000
3221211012112011210102
421110102231030120
5130442023440230
64332411034532
7502624440362
oct112422551430
927735464712
1010004124440
114274081842
121b3243ba48
13c3580287b
146ac917d32
153d8425045
hex2544ad318

10004124440 has 32 divisors (see below), whose sum is σ = 22878290160. Its totient is φ = 3936048000.

The previous prime is 10004124439. The next prime is 10004124443. The reversal of 10004124440 is 4442140001.

It is a happy number.

It is a super-2 number, since 2×100041244402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004124443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2047586 + ... + 2052465.

Almost surely, 210004124440 is an apocalyptic number.

10004124440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004124440 is an abundant number, since it is smaller than the sum of its proper divisors (12874165720).

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

10004124440 is a wasteful number, since it uses less digits than its factorization.

10004124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100123 (or 4100119 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10004124440 its reverse (4442140001), we get a palindrome (14446264441).

The spelling of 10004124440 in words is "ten billion, four million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4100051 8200102 16400204 20500255 32800408 41000510 82001020 164002040 250103111 500206222 1000412444 1250515555 2000824888 2501031110 5002062220 10004124440