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5140132144 = 24732932297
BaseRepresentation
bin1001100100110000…
…00011000100110000
3111021020001202201121
410302120003010300
541011333212034
62210014512024
7241243255000
oct46230030460
914236052647
105140132144
1121a851a3a4
12bb5505614
1363bbb4114
1436a93c000
152013d71b4
hex132603130

5140132144 has 80 divisors (see below), whose sum is σ = 12014856000. Its totient is φ = 2126885376.

The previous prime is 5140132099. The next prime is 5140132147. The reversal of 5140132144 is 4412310415.

It is not an unprimeable number, because it can be changed into a prime (5140132147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143004 + ... + 175300.

It is an arithmetic number, because the mean of its divisors is an integer number (150185700).

Almost surely, 25140132144 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 5140132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007428000).

5140132144 is an abundant number, since it is smaller than the sum of its proper divisors (6874723856).

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

5140132144 is a wasteful number, since it uses less digits than its factorization.

5140132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32355 (or 32335 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5140132144 is about 71694.7148958694. The cubic root of 5140132144 is about 1725.8038282945.

Adding to 5140132144 its reverse (4412310415), we get a palindrome (9552442559).

The spelling of 5140132144 in words is "five billion, one hundred forty million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 343 392 406 464 686 784 812 1372 1421 1624 2744 2842 3248 5488 5684 9947 11368 19894 22736 32297 39788 64594 79576 129188 159152 226079 258376 452158 516752 904316 936613 1582553 1808632 1873226 3165106 3617264 3746452 6330212 6556291 7492904 11077871 12660424 13112582 14985808 22155742 25320848 26225164 44311484 45894037 52450328 88622968 91788074 104900656 177245936 183576148 321258259 367152296 642516518 734304592 1285033036 2570066072 5140132144