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5141322288 = 243335933151
BaseRepresentation
bin1001100100111001…
…00101101000110000
3111021022022020022000
410302130211220300
541012134303123
62210100214000
7241256342544
oct46234455060
914238266260
105141322288
1121a9162593
12bb599a300
1363c20ca4b
1436ab6ba24
1520156eb43
hex132725a30

5141322288 has 80 divisors (see below), whose sum is σ = 14799052800. Its totient is φ = 1708948800.

The previous prime is 5141322283. The next prime is 5141322289. The reversal of 5141322288 is 8822231415.

It is a happy number.

5141322288 is a `hidden beast` number, since 51 + 4 + 1 + 322 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5141322283) 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, 138513 + ... + 171663.

It is an arithmetic number, because the mean of its divisors is an integer number (184988160).

Almost surely, 25141322288 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 5141322288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399526400).

5141322288 is an abundant number, since it is smaller than the sum of its proper divisors (9657730512).

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

5141322288 is a wasteful number, since it uses less digits than its factorization.

5141322288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33527 (or 33515 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 5141322288 is about 71703.0144972999. The cubic root of 5141322288 is about 1725.9370153093.

The spelling of 5141322288 in words is "five billion, one hundred forty-one million, three hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 359 432 718 1077 1436 2154 2872 3231 4308 5744 6462 8616 9693 12924 17232 19386 25848 33151 38772 51696 66302 77544 99453 132604 155088 198906 265208 298359 397812 530416 596718 795624 895077 1193436 1591248 1790154 2386872 3580308 4773744 7160616 11901209 14321232 23802418 35703627 47604836 71407254 95209672 107110881 142814508 190419344 214221762 285629016 321332643 428443524 571258032 642665286 856887048 1285330572 1713774096 2570661144 5141322288