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6312532140 = 22325175338923
BaseRepresentation
bin1011110000100000…
…11001100010101100
3121021221010212011200
411320100121202230
5100412002012030
62522215245500
7312300431535
oct57020314254
917257125150
106312532140
11274a294912
121282079890
13797a63b25
1443c52568c
1526e2bed60
hex1784198ac

6312532140 has 144 divisors (see below), whose sum is σ = 20657433888. Its totient is φ = 1554388992.

The previous prime is 6312532117. The next prime is 6312532169. The reversal of 6312532140 is 412352136.

6312532140 is a `hidden beast` number, since 631 + 2 + 5 + 3 + 21 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142719 + ... + 181641.

It is an arithmetic number, because the mean of its divisors is an integer number (143454402).

Almost surely, 26312532140 is an apocalyptic number.

6312532140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6312532140 is the 64872-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6312532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328716944).

6312532140 is an abundant number, since it is smaller than the sum of its proper divisors (14344901748).

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

6312532140 is a wasteful number, since it uses less digits than its factorization.

6312532140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39008 (or 39003 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6312532140 is about 79451.4451725077. The cubic root of 6312532140 is about 1848.1385845078.

Adding to 6312532140 its reverse (412352136), we get a palindrome (6724884276).

The spelling of 6312532140 in words is "six billion, three hundred twelve million, five hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 477 510 530 612 636 765 795 901 954 1020 1060 1530 1590 1802 1908 2385 2703 3060 3180 3604 4505 4770 5406 8109 9010 9540 10812 13515 16218 18020 27030 32436 38923 40545 54060 77846 81090 116769 155692 162180 194615 233538 350307 389230 467076 583845 661691 700614 778460 1167690 1323382 1401228 1751535 1985073 2062919 2335380 2646764 3308455 3503070 3970146 4125838 5955219 6188757 6616910 7006140 7940292 8251676 9925365 10314595 11910438 12377514 13233820 18566271 19850730 20629190 23820876 24755028 29776095 30943785 35069623 37132542 39701460 41258380 59552190 61887570 70139246 74265084 92831355 105208869 119104380 123775140 140278492 175348115 185662710 210417738 315626607 350696230 371325420 420835476 526044345 631253214 701392460 1052088690 1262506428 1578133035 2104177380 3156266070 6312532140