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6145146415416 = 23310122911070421
BaseRepresentation
bin101100101101100011101…
…0001001110100100111000
3210202110200211010102101210
41121123013101032210320
51301140224440243131
621023012530243120
71202654312455101
oct131330721164470
923673624112353
106145146415416
111a5a161a47678
12832b791264a0
1335763c1c5ac8
141735d8b133a8
15a9cb18d3146
hex596c744e938

6145146415416 has 64 divisors (see below), whose sum is σ = 15582726007200. Its totient is φ = 2019244608000.

The previous prime is 6145146415411. The next prime is 6145146415417.

It is a happy number.

6145146415416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61451464154162 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145146415411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4980115 + ... + 6090306.

Almost surely, 26145146415416 is an apocalyptic number.

It is an amenable number.

6145146415416 is an abundant number, since it is smaller than the sum of its proper divisors (9437579591784).

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

6145146415416 is a wasteful number, since it uses less digits than its factorization.

6145146415416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070760 (or 11070756 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 6145146415416 in words is "six trillion, one hundred forty-five billion, one hundred forty-six million, four hundred fifteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 101 202 229 303 404 458 606 687 808 916 1212 1374 1832 2424 2748 5496 23129 46258 69387 92516 138774 185032 277548 555096 11070421 22140842 33211263 44281684 66422526 88563368 132845052 265690104 1118112521 2236225042 2535126409 3354337563 4472450084 5070252818 6708675126 7605379227 8944900168 10140505636 13417350252 15210758454 20281011272 26834700504 30421516908 60843033816 256047767309 512095534618 768143301927 1024191069236 1536286603854 2048382138472 3072573207708 6145146415416