Search a number
-
+
41008000224 = 2531171736457
BaseRepresentation
bin100110001100010001…
…000110110011100000
310220211220210020212010
4212030101012303200
51132441022001344
630501103432520
72651134151652
oct461421066340
9126756706763
1041008000224
1116433a46584
127b455b5740
133b36b60cb9
141db03dc6d2
1511002488b9
hex98c446ce0

41008000224 has 48 divisors (see below), whose sum is σ = 107658140688. Its totient is φ = 13667791872.

The previous prime is 41008000223. The next prime is 41008000277. The reversal of 41008000224 is 42200080014.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41008000224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41008000223) 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, 1106604 + ... + 1143060.

It is an arithmetic number, because the mean of its divisors is an integer number (2242877931).

Almost surely, 241008000224 is an apocalyptic number.

It is an amenable number.

41008000224 is an abundant number, since it is smaller than the sum of its proper divisors (66650140464).

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

41008000224 is a wasteful number, since it uses less digits than its factorization.

41008000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48187 (or 48179 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 41008000224 its reverse (42200080014), we get a palindrome (83208080238).

The spelling of 41008000224 in words is "forty-one billion, eight million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 11717 23434 35151 36457 46868 70302 72914 93736 109371 140604 145828 187472 218742 281208 291656 374944 437484 562416 583312 874968 1124832 1166624 1749936 3499872 427166669 854333338 1281500007 1708666676 2563000014 3417333352 5126000028 6834666704 10252000056 13669333408 20504000112 41008000224