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5340362144 = 25133372053
BaseRepresentation
bin1001111100100111…
…10111010110100000
3111210011211111122112
410332103313112200
541414113042034
62241530254452
7246224220635
oct47623672640
914704744575
105340362144
1122a054a137
121050587428
1367151c000
1438938018c
15213c897ce
hex13e4f75a0

5340362144 has 96 divisors (see below), whose sum is σ = 11703116880. Its totient is φ = 2396998656.

The previous prime is 5340362143. The next prime is 5340362147. The reversal of 5340362144 is 4412630435.

It can be written as a sum of positive squares in 8 ways, for example, as 9610000 + 5330752144 = 3100^2 + 73012^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5340362144.

It is not an unprimeable number, because it can be changed into a prime (5340362143) 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, 2600222 + ... + 2602274.

Almost surely, 25340362144 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 5340362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851558440).

5340362144 is an abundant number, since it is smaller than the sum of its proper divisors (6362754736).

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

5340362144 is a wasteful number, since it uses less digits than its factorization.

5340362144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 5340362144 is about 73077.7814660516. The cubic root of 5340362144 is about 1747.9281215044.

Adding to 5340362144 its reverse (4412630435), we get a palindrome (9752992579).

The spelling of 5340362144 in words is "five billion, three hundred forty million, three hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 169 208 296 338 416 481 592 676 962 1184 1352 1924 2053 2197 2704 3848 4106 4394 5408 6253 7696 8212 8788 12506 15392 16424 17576 25012 26689 32848 35152 50024 53378 65696 70304 75961 81289 100048 106756 151922 162578 200096 213512 303844 325156 346957 427024 607688 650312 693914 854048 987493 1215376 1300624 1387828 1974986 2430752 2601248 2775656 3949972 4510441 5551312 7899944 9020882 11102624 12837409 15799888 18041764 25674818 31599776 36083528 51349636 72167056 102699272 144334112 166886317 205398544 333772634 410797088 667545268 1335090536 2670181072 5340362144