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1140250311354 = 237115355918329
BaseRepresentation
bin10000100101111100001…
…101101111101010111010
311001000012000010102212010
4100211330031233222322
5122140213034430404
62231453533230350
7145244315505030
oct20457415575272
94030160112763
101140250311354
113aa639635720
12164ba36323b6
13836a997bb5b
143d28cdd2550
151e9d942e189
hex1097c36faba

1140250311354 has 128 divisors (see below), whose sum is σ = 2897733242880. Its totient is φ = 290493964800.

The previous prime is 1140250311349. The next prime is 1140250311391. The reversal of 1140250311354 is 4531130520411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136897062 + ... + 136905390.

It is an arithmetic number, because the mean of its divisors is an integer number (22638540960).

Almost surely, 21140250311354 is an apocalyptic number.

1140250311354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140250311354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448866621440).

1140250311354 is an abundant number, since it is smaller than the sum of its proper divisors (1757482931526).

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

1140250311354 is a wasteful number, since it uses less digits than its factorization.

1140250311354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13996.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 1140250311354 its reverse (4531130520411), we get a palindrome (5671380831765).

The spelling of 1140250311354 in words is "one trillion, one hundred forty billion, two hundred fifty million, three hundred eleven thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 462 583 742 1113 1166 1749 2226 3498 4081 5591 8162 8329 11182 12243 16658 16773 24486 24987 33546 39137 49974 58303 61501 78274 91619 116606 117411 123002 174909 183238 184503 234822 274857 296323 349818 369006 430507 441437 549714 592646 641333 861014 882874 888969 1282666 1291521 1324311 1777938 1923999 2074261 2583042 2648622 3090059 3259553 3847998 4148522 4855807 6180118 6222783 6519106 9270177 9711614 9778659 12445566 14567421 18540354 19557318 22816871 29134842 33990649 45633742 46567439 67981298 68450613 93134878 101971947 136901226 139702317 203943894 279404634 325972073 512241829 651944146 977916219 1024483658 1536725487 1955832438 2468074267 3073450974 3585692803 4936148534 7171385606 7404222801 10757078409 14808445602 17276519869 21514156818 27148816937 34553039738 51829559607 54297633874 81446450811 103659119214 162892901622 190041718559 380083437118 570125155677 1140250311354