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541343134144 = 2679781713697
BaseRepresentation
bin1111110000010101001…
…00001011000111000000
31220202022010121112102001
413320022210023013000
532332132320243034
61052404542033344
754052662501211
oct7701244130700
91822263545361
10541343134144
111996450a505a
1288aba878854
133c08255b567
141c2b5d3d408
15e1354caa14
hex7e0a90b1c0

541343134144 has 56 divisors (see below), whose sum is σ = 1088044194240. Its totient is φ = 267191648256.

The previous prime is 541343134139. The next prime is 541343134169. The reversal of 541343134144 is 441431343145.

It is a super-2 number, since 2×5413431341442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39515904 + ... + 39529600.

Almost surely, 2541343134144 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 541343134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544022097120).

541343134144 is an abundant number, since it is smaller than the sum of its proper divisors (546701060096).

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

541343134144 is a wasteful number, since it uses less digits than its factorization.

541343134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21605 (or 21595 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

Adding to 541343134144 its reverse (441431343145), we get a palindrome (982774477289).

The spelling of 541343134144 in words is "five hundred forty-one billion, three hundred forty-three million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 5056 7817 13697 15634 27394 31268 54788 62536 109576 125072 219152 250144 438304 500288 617543 876608 1082063 1235086 2164126 2470172 4328252 4940344 8656504 9880688 17313008 19761376 34626016 39522752 69252032 107069449 214138898 428277796 856555592 1713111184 3426222368 6852444736 8458486471 16916972942 33833945884 67667891768 135335783536 270671567072 541343134144