Search a number
-
+
241126522453104 = 24389313563320303
BaseRepresentation
bin110110110100110110100100…
…101101110111110001110000
31011121202110200221022001110120
4312310312210231313301300
5223101104104221444404
62212455554543330240
7101534550003262131
oct6664664455676160
91147673627261416
10241126522453104
116a915202850a42
1223063b285b0980
13a4711973bc232
14437882bc19c88
151cd23c2e119d9
hexdb4da4b77c70

241126522453104 has 160 divisors (see below), whose sum is σ = 633046058173440. Its totient is φ = 79077551714304.

The previous prime is 241126522453099. The next prime is 241126522453111. The reversal of 241126522453104 is 401354225621142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752647417 + ... + 752967719.

It is an arithmetic number, because the mean of its divisors is an integer number (3956537863584).

Almost surely, 2241126522453104 is an apocalyptic number.

241126522453104 is a gapful number since it is divisible by the number (24) 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 241126522453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316523029086720).

241126522453104 is an abundant number, since it is smaller than the sum of its proper divisors (391919535720336).

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

241126522453104 is a wasteful number, since it uses less digits than its factorization.

241126522453104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321279 (or 321273 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 241126522453104 in words is "two hundred forty-one trillion, one hundred twenty-six billion, five hundred twenty-two million, four hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 313 356 534 563 626 712 939 1068 1126 1252 1424 1689 1878 2136 2252 2504 3378 3756 4272 4504 5008 6756 7512 9008 13512 15024 27024 27857 50107 55714 83571 100214 111428 150321 167142 176219 200428 222856 300642 320303 334284 352438 400856 445712 528657 601284 640606 668568 704876 801712 960909 1057314 1202568 1281212 1337136 1409752 1921818 2114628 2405136 2562424 2819504 3843636 4229256 5124848 7687272 8458512 15374544 15683491 28506967 31366982 47050473 57013934 62733964 85520901 94100946 100254839 114027868 125467928 171041802 180330589 188201892 200509678 228055736 250935856 300764517 342083604 360661178 376403784 401019356 456111472 540991767 601529034 684167208 721322356 752807568 802038712 1081983534 1203058068 1368334416 1442644712 1604077424 2163967068 2406116136 2885289424 4327934136 4812232272 8655868272 8922680671 16049422421 17845361342 26768042013 32098844842 35690722684 48148267263 53536084026 56443474357 64197689684 71381445368 96296534526 107072168052 112886948714 128395379368 142762890736 169330423071 192593069052 214144336104 225773897428 256790758736 338660846142 385186138104 428288672208 451547794856 677321692284 770372276208 903095589712 1354643384568 2709286769136 5023469217773 10046938435546 15070407653319 20093876871092 30140815306638 40187753742184 60281630613276 80375507484368 120563261226552 241126522453104