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141611301304 = 231167130318433
BaseRepresentation
bin1000001111100010110…
…0001111100110111000
3111112112010122110121021
42003320230033212320
54310004443120204
6145015541352224
713142155125514
oct2037054174670
9445463573537
10141611301304
1155069984710
1223541408674
131047a653a15
146bd5625144
153a3c404154
hex20f8b0f9b8

141611301304 has 64 divisors (see below), whose sum is σ = 294224336640. Its totient is φ = 63355944960.

The previous prime is 141611301301. The next prime is 141611301319. The reversal of 141611301304 is 403103116141.

It is a happy number.

141611301304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141611301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7673272 + ... + 7691704.

It is an arithmetic number, because the mean of its divisors is an integer number (4597255260).

Almost surely, 2141611301304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141611301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147112168320).

141611301304 is an abundant number, since it is smaller than the sum of its proper divisors (152613035336).

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

141611301304 is a wasteful number, since it uses less digits than its factorization.

141611301304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19820 (or 19816 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 141611301304 its reverse (403103116141), we get a palindrome (544714417445).

The spelling of 141611301304 in words is "one hundred forty-one billion, six hundred eleven million, three hundred one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 67 88 134 268 536 737 1303 1474 2606 2948 5212 5896 10424 14333 18433 28666 36866 57332 73732 87301 114664 147464 174602 202763 349204 405526 698408 811052 960311 1235011 1622104 1920622 2470022 3841244 4940044 7682488 9880088 13585121 24018199 27170242 48036398 54340484 96072796 108680968 192145592 264200189 528400378 1056800756 1609219333 2113601512 3218438666 6436877332 12873754664 17701412663 35402825326 70805650652 141611301304