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134822040416 = 25719387751
BaseRepresentation
bin111110110010000000…
…1010001001101100000
3110212222222110021112022
41331210001101031200
54202103420243131
6141534132121012
712512005302140
oct1754401211540
9425888407468
10134822040416
11521a55884a8
1222167766168
13c937bc519b
14674da84920
15379136637b
hex1f64051360

134822040416 has 96 divisors (see below), whose sum is σ = 320203537920. Its totient is φ = 54739152000.

The previous prime is 134822040413. The next prime is 134822040461. The reversal of 134822040416 is 614040228431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134822040413) 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, 1492541 + ... + 1580291.

It is an arithmetic number, because the mean of its divisors is an integer number (3335453520).

Almost surely, 2134822040416 is an apocalyptic number.

134822040416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134822040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160101768960).

134822040416 is an abundant number, since it is smaller than the sum of its proper divisors (185381497504).

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

134822040416 is an frugal number, since it uses more digits than its factorization.

134822040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87825 (or 87779 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 134822040416 its reverse (614040228431), we get a palindrome (748862268847).

The spelling of 134822040416 in words is "one hundred thirty-four billion, eight hundred twenty-two million, forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 361 532 608 722 1064 1444 2128 2527 2888 4256 5054 5776 6859 10108 11552 13718 20216 27436 40432 48013 54872 80864 87751 96026 109744 175502 192052 219488 351004 384104 614257 702008 768208 1228514 1404016 1536416 1667269 2457028 2808032 3334538 4914056 6669076 9828112 11670883 13338152 19656224 23341766 26676304 31678111 46683532 53352608 63356222 93367064 126712444 186734128 221746777 253424888 373468256 443493554 506849776 601884109 886987108 1013699552 1203768218 1773974216 2407536436 3547948432 4213188763 4815072872 7095896864 8426377526 9630145744 16852755052 19260291488 33705510104 67411020208 134822040416