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254113434520044 = 223112002196154127
BaseRepresentation
bin111001110001110101100100…
…111111110100100111101100
31020022202000012011112200210120
4321301311210333310213230
5231301343303214120134
62300242033352204540
7104345042540412351
oct7161654477644754
91208660164480716
10254113434520044
1173a719a2076930
1224600a77099750
13aba3a426c8758
1446a7227946628
151e5a118577649
hexe71d64ff49ec

254113434520044 has 48 divisors (see below), whose sum is σ = 646866511474176. Its totient is φ = 77000224100800.

The previous prime is 254113434520007. The next prime is 254113434520067. The reversal of 254113434520044 is 440025434311452.

It is a super-2 number, since 2×2541134345200442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254113434519978 and 254113434520005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45434292 + ... + 50719835.

It is an arithmetic number, because the mean of its divisors is an integer number (13476385655712).

Almost surely, 2254113434520044 is an apocalyptic number.

It is an amenable number.

254113434520044 is an abundant number, since it is smaller than the sum of its proper divisors (392753076954132).

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

254113434520044 is a wasteful number, since it uses less digits than its factorization.

254113434520044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96174166 (or 96174164 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 254113434520044 its reverse (440025434311452), we get a palindrome (694138868831496).

The spelling of 254113434520044 in words is "two hundred fifty-four trillion, one hundred thirteen billion, four hundred thirty-four million, five hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 20021 40042 60063 80084 120126 220231 240252 440462 660693 880924 1321386 2642772 96154127 192308254 288462381 384616508 576924762 1057695397 1153849524 2115390794 3173086191 4230781588 6346172382 12692344764 1925101776667 3850203553334 5775305330001 7700407106668 11550610660002 21176119543337 23101221320004 42352239086674 63528358630011 84704478173348 127056717260022 254113434520044