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4545454400144 = 247612772401871
BaseRepresentation
bin100001000100101001000…
…1100011110001010010000
3121002112121112101012001022
41002021102030132022100
51043433042311301034
613400053010455012
7646253411624510
oct102112214361220
917075545335038
104545454400144
1114a2797566719
12614b33594468
1326c833035068
1411a0032b7840
157d387388b2e
hex4225231e290

4545454400144 has 80 divisors (see below), whose sum is σ = 10266869116416. Its totient is φ = 1909198425600.

The previous prime is 4545454400131. The next prime is 4545454400161. The reversal of 4545454400144 is 4410044545454.

It is a happy number.

It is a super-2 number, since 2×45454544001442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4545454400095 and 4545454400104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691529 + ... + 3093399.

Almost surely, 24545454400144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4545454400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133434558208).

4545454400144 is an abundant number, since it is smaller than the sum of its proper divisors (5721414716272).

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

4545454400144 is a wasteful number, since it uses less digits than its factorization.

4545454400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402224 (or 2402218 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 44.

Adding to 4545454400144 its reverse (4410044545454), we get a palindrome (8955498945598).

The spelling of 4545454400144 in words is "four trillion, five hundred forty-five billion, four hundred fifty-four million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 277 427 488 554 854 976 1108 1708 1939 2216 3416 3878 4432 6832 7756 15512 16897 31024 33794 67588 118279 135176 236558 270352 473116 946232 1892464 2401871 4803742 9607484 16813097 19214968 33626194 38429936 67252388 134504776 146514131 269009552 293028262 586056524 665318267 1025598917 1172113048 1330636534 2051197834 2344226096 2661273068 4102395668 4657227869 5322546136 8204791336 9314455738 10645092272 16409582672 18628911476 37257822952 40584414287 74515645904 81168828574 162337657148 284090900009 324675314296 568181800018 649350628592 1136363600036 2272727200072 4545454400144