Search a number
-
+
51236141344 = 2541535771277
BaseRepresentation
bin101111101101111010…
…010111100100100000
311220020201211122202121
4233231322113210200
51314412423010334
635312040154024
73462452005243
oct575572274440
9156221748677
1051236141344
111a802514373
129b1aa68914
134aa6ba95cb
1426a098b25a
1514ed16ddb4
hexbede97920

51236141344 has 96 divisors (see below), whose sum is σ = 105546124656. Its totient is φ = 24460001280.

The previous prime is 51236141317. The next prime is 51236141347. The reversal of 51236141344 is 44314163215.

It can be written as a sum of positive squares in 8 ways, for example, as 38489731344 + 12746410000 = 196188^2 + 112900^2 .

It is a super-2 number, since 2×512361413442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51236141347) 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, 40121634 + ... + 40122910.

Almost surely, 251236141344 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 51236141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52773062328).

51236141344 is an abundant number, since it is smaller than the sum of its proper divisors (54309983312).

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

51236141344 is a wasteful number, since it uses less digits than its factorization.

51236141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1950 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The spelling of 51236141344 in words is "fifty-one billion, two hundred thirty-six million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 53 82 106 164 212 328 424 577 656 848 1154 1277 1312 1696 2173 2308 2554 4346 4616 5108 8692 9232 10216 17384 18464 20432 23657 30581 34768 40864 47314 52357 61162 67681 69536 94628 104714 122324 135362 189256 209428 244648 270724 378512 418856 489296 541448 736829 757024 837712 978592 1082896 1253821 1473658 1675424 2165792 2507642 2774921 2947316 5015284 5549842 5894632 10030568 11099684 11789264 20061136 22199368 23578528 30209989 39051937 40122272 44398736 60419978 78103874 88797472 120839956 156207748 241679912 312415496 483359824 624830992 966719648 1249661984 1601129417 3202258834 6404517668 12809035336 25618070672 51236141344