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140133413412 = 223241167701811
BaseRepresentation
bin1000001010000010011…
…0100011001000100100
3111101201010201222112200
42002200212203020210
54243443123212122
6144213145214500
713060431234456
oct2024046431044
9441633658480
10140133413412
1154480727663
12231aa491430
13102a3404345
146ad523a2d6
1539a27c65ac
hex20a09a3224

140133413412 has 144 divisors (see below), whose sum is σ = 366010130304. Its totient is φ = 45178560000.

The previous prime is 140133413353. The next prime is 140133413419. The reversal of 140133413412 is 214314331041.

It is not an unprimeable number, because it can be changed into a prime (140133413419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172790487 + ... + 172791297.

It is an arithmetic number, because the mean of its divisors is an integer number (2541737016).

Almost surely, 2140133413412 is an apocalyptic number.

140133413412 is a gapful number since it is divisible by the number (12) 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 140133413412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183005065152).

140133413412 is an abundant number, since it is smaller than the sum of its proper divisors (225876716892).

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

140133413412 is a wasteful number, since it uses less digits than its factorization.

140133413412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140133413412 its reverse (214314331041), we get a palindrome (354447744453).

The spelling of 140133413412 in words is "one hundred forty billion, one hundred thirty-three million, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 167 246 334 369 492 501 668 701 738 811 1002 1402 1476 1503 1622 2004 2103 2433 2804 3006 3244 4206 4866 6012 6309 6847 7299 8412 9732 12618 13694 14598 20541 25236 27388 28741 29196 33251 41082 57482 61623 66502 82164 86223 99753 114964 117067 123246 133004 135437 172446 199506 234134 246492 258669 270874 299259 344892 351201 399012 406311 468268 517338 541748 568511 598518 702402 812622 1034676 1053603 1137022 1197036 1218933 1404804 1625244 1705533 2107206 2274044 2437866 3411066 4214412 4799747 4875732 5116599 5552917 6822132 9599494 10233198 11105834 14399241 16658751 19198988 20466396 22211668 23308951 28798482 33317502 43197723 46617902 49976253 57596964 66635004 69926853 86395446 93235804 94941337 99952506 139853706 172790892 189882674 199905012 209780559 279707412 284824011 379765348 419561118 569648022 839122236 854472033 1139296044 1708944066 3417888132 3892594817 7785189634 11677784451 15570379268 23355568902 35033353353 46711137804 70066706706 140133413412