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12400303140 = 22325292419857
BaseRepresentation
bin10111000110001110…
…11001110000100100
31012000012100200000200
423203013121300210
5200343434200030
65410245310500
7616201560201
oct134307316044
935005320020
1012400303140
115293714315
1224a0a05430
1312280810a4
14858c60ca8
154c8993d60
hex2e31d9c24

12400303140 has 144 divisors (see below), whose sum is σ = 39076717680. Its totient is φ = 3179151360.

The previous prime is 12400303129. The next prime is 12400303159. The reversal of 12400303140 is 4130300421.

It can be written as a sum of positive squares in 8 ways, for example, as 589824 + 12399713316 = 768^2 + 111354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1253092 + ... + 1262948.

It is an arithmetic number, because the mean of its divisors is an integer number (271366095).

Almost surely, 212400303140 is an apocalyptic number.

12400303140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19538358840).

12400303140 is an abundant number, since it is smaller than the sum of its proper divisors (26676414540).

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

12400303140 is a wasteful number, since it uses less digits than its factorization.

12400303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12400303140 its reverse (4130300421), we get a palindrome (16530603561).

The spelling of 12400303140 in words is "twelve billion, four hundred million, three hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 241 261 290 348 435 482 522 580 723 870 964 1044 1205 1305 1446 1740 2169 2410 2610 2892 3615 4338 4820 5220 6989 7230 8676 9857 10845 13978 14460 19714 20967 21690 27956 29571 34945 39428 41934 43380 49285 59142 62901 69890 83868 88713 98570 104835 118284 125802 139780 147855 177426 197140 209670 251604 285853 295710 314505 354852 419340 443565 571706 591420 629010 857559 887130 1143412 1258020 1429265 1715118 1774260 2375537 2572677 2858530 3430236 4287795 4751074 5145354 5717060 7126611 8575590 9502148 10290708 11877685 12863385 14253222 17151180 21379833 23755370 25726770 28506444 35633055 42759666 47510740 51453540 68890573 71266110 85519332 106899165 137781146 142532220 206671719 213798330 275562292 344452865 413343438 427596660 620015157 688905730 826686876 1033358595 1240030314 1377811460 2066717190 2480060628 3100075785 4133434380 6200151570 12400303140