Search a number
-
+
41030744128 = 2611173428371
BaseRepresentation
bin100110001101100111…
…110111100001000000
310220220111120202121221
4212031213313201000
51133012332303003
630503235124424
72651531366503
oct461547674100
9126814522557
1041030744128
11164458703a0
127b51143714
133b3b79532a
141db343d13a
15110223c7bd
hex98d9f7840

41030744128 has 56 divisors (see below), whose sum is σ = 94047100704. Its totient is φ = 17553254400.

The previous prime is 41030744107. The next prime is 41030744141. The reversal of 41030744128 is 82144703014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 41030744093 and 41030744102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1702218 + ... + 1726153.

Almost surely, 241030744128 is an apocalyptic number.

It is an amenable number.

41030744128 is an abundant number, since it is smaller than the sum of its proper divisors (53016356576).

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

41030744128 is a wasteful number, since it uses less digits than its factorization.

41030744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428411 (or 3428401 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 41030744128 in words is "forty-one billion, thirty million, seven hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 3428371 6856742 13713484 27426968 37712081 54853936 58282307 75424162 109707872 116564614 150848324 219415744 233129228 301696648 466258456 603393296 641105377 932516912 1206786592 1282210754 1865033824 2413573184 2564421508 3730067648 5128843016 10257686032 20515372064 41030744128