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10114321443354 = 2334759167404461
BaseRepresentation
bin1001001100101110110010…
…0010010110101000011010
31022210220211110012022001000
42103023230202112220122
52311203112242141404
633302242150205430
72062510212521052
oct223135442265032
938726743168030
1010114321443354
11324a506858517
121174281953876
13584a12a41cab
1426d77021c562
1512816b608339
hex932ec896a1a

10114321443354 has 128 divisors (see below), whose sum is σ = 23483387289600. Its totient is φ = 3224348648640.

The previous prime is 10114321443353. The next prime is 10114321443377. The reversal of 10114321443354 is 45334412341101.

10114321443354 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 3 + 214 + 433 + 5 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (10114321443353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24804684 + ... + 25209144.

It is an arithmetic number, because the mean of its divisors is an integer number (183463963200).

Almost surely, 210114321443354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114321443354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741693644800).

10114321443354 is an abundant number, since it is smaller than the sum of its proper divisors (13369065846246).

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

10114321443354 is a wasteful number, since it uses less digits than its factorization.

10114321443354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404745 (or 404739 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10114321443354 its reverse (45334412341101), we get a palindrome (55448733784455).

The spelling of 10114321443354 in words is "ten trillion, one hundred fourteen billion, three hundred twenty-one million, four hundred forty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 47 54 59 94 118 141 167 177 282 334 354 423 501 531 846 1002 1062 1269 1503 1593 2538 2773 3006 3186 4509 5546 7849 8319 9018 9853 15698 16638 19706 23547 24957 29559 47094 49914 59118 70641 74871 88677 141282 149742 177354 211923 266031 404461 423846 463091 532062 808922 926182 1213383 1389273 2426766 2778546 3640149 4167819 7280298 8335638 10920447 12503457 19009667 21840894 23863199 25006914 38019334 47726398 57029001 67544987 71589597 114058002 135089974 143179194 171087003 202634961 214768791 342174006 405269922 429537582 513261009 607904883 644306373 1026522018 1121570353 1215809766 1288612746 1823714649 2243140706 3174614389 3364711059 3647429298 3985154233 6349228778 6729422118 7970308466 9523843167 10094133177 11955462699 19047686334 20188266354 23910925398 28571529501 30282399531 35866388097 57143059002 60564799062 71732776194 85714588503 107599164291 171429177006 187302248951 215198328582 374604497902 561906746853 1123813493706 1685720240559 3371440481118 5057160721677 10114321443354