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5141523312 = 2432832771553
BaseRepresentation
bin1001100100111010…
…10110101101110000
3111021022200110001100
410302131112231300
541012212221222
62210104404400
7241261140612
oct46235265560
914238613040
105141523312
1121a928a622
12bb5a76700
1363c2803b3
1436abc0db2
152015ae4ac
hex132756b70

5141523312 has 120 divisors (see below), whose sum is σ = 14624470224. Its totient is φ = 1685993472.

The previous prime is 5141523307. The next prime is 5141523323. The reversal of 5141523312 is 2133251415.

5141523312 is a `hidden beast` number, since 5 + 1 + 415 + 233 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3309928 + ... + 3311480.

Almost surely, 25141523312 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 5141523312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312235112).

5141523312 is an abundant number, since it is smaller than the sum of its proper divisors (9482946912).

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

5141523312 is a wasteful number, since it uses less digits than its factorization.

5141523312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1918 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 5141523312 is about 71704.4162656666. The cubic root of 5141523312 is about 1725.9595095382.

Adding to 5141523312 its reverse (2133251415), we get a palindrome (7274774727).

The spelling of 5141523312 in words is "five billion, one hundred forty-one million, five hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 277 332 498 554 664 747 831 996 1108 1328 1494 1553 1662 1992 2216 2493 2988 3106 3324 3984 4432 4659 4986 5976 6212 6648 9318 9972 11952 12424 13296 13977 18636 19944 22991 24848 27954 37272 39888 45982 55908 68973 74544 91964 111816 128899 137946 183928 206919 223632 257798 275892 367856 386697 413838 430181 515596 551784 773394 827676 860362 1031192 1103568 1160091 1290543 1546788 1655352 1720724 2062384 2320182 2581086 3093576 3310704 3441448 3871629 4640364 5162172 6187152 6882896 7743258 9280728 10324344 15486516 18561456 20648688 30973032 35705023 61946064 71410046 107115069 142820092 214230138 285640184 321345207 428460276 571280368 642690414 856920552 1285380828 1713841104 2570761656 5141523312