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41214134130 = 23513991106637
BaseRepresentation
bin100110011000100011…
…011100011101110010
310221101021122221102020
4212120203130131302
51133401304243010
630533345532310
72656216234311
oct463043343562
9127337587366
1041214134130
111652a338a84
127ba2644096
133b6a785220
141dcd93a278
1511133b5470
hex9988dc772

41214134130 has 64 divisors (see below), whose sum is σ = 106631175168. Its totient is φ = 10134685440.

The previous prime is 41214134119. The next prime is 41214134147. The reversal of 41214134130 is 3143141214.

41214134130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41214134130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333172 + ... + 439808.

It is an arithmetic number, because the mean of its divisors is an integer number (1666112112).

Almost surely, 241214134130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41214134130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53315587584).

41214134130 is an abundant number, since it is smaller than the sum of its proper divisors (65417041038).

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

41214134130 is a wasteful number, since it uses less digits than its factorization.

41214134130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107651.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41214134130 its reverse (3143141214), we get a palindrome (44357275344).

The spelling of 41214134130 in words is "forty-one billion, two hundred fourteen million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 991 1982 2973 4955 5946 9910 12883 14865 25766 29730 38649 64415 77298 106637 128830 193245 213274 319911 386490 533185 639822 1066370 1386281 1599555 2772562 3199110 4158843 6931405 8317686 13862810 20794215 41588430 105677267 211354534 317031801 528386335 634063602 1056772670 1373804471 1585159005 2747608942 3170318010 4121413413 6869022355 8242826826 13738044710 20607067065 41214134130