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144405052451104 = 2552110098584273
BaseRepresentation
bin100000110101010111101011…
…110110101110100100100000
3200221021222200101120201110211
4200311113223312232210200
5122411413021411413404
61231042433144503504
742262630550234314
oct4065275366564440
9627258611521424
10144405052451104
1142014925527535
12142427bba7ab94
13627645180bcb3
142793355825b44
1511a6490707b04
hex8355ebdae920

144405052451104 has 48 divisors (see below), whose sum is σ = 285125459111640. Its totient is φ = 71992512184320.

The previous prime is 144405052451041. The next prime is 144405052451141. The reversal of 144405052451104 is 401154250504441.

144405052451104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 117344789456400 + 27060262994704 = 10832580^2 + 5201948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12529912 + ... + 21114184.

Almost surely, 2144405052451104 is an apocalyptic number.

It is an amenable number.

144405052451104 is a deficient number, since it is larger than the sum of its proper divisors (140720406660536).

144405052451104 is a wasteful number, since it uses less digits than its factorization.

144405052451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8585813 (or 8585805 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

The spelling of 144405052451104 in words is "one hundred forty-four trillion, four hundred five billion, fifty-two million, four hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 521 1009 1042 2018 2084 4036 4168 8072 8336 16144 16672 32288 525689 1051378 2102756 4205512 8411024 8584273 16822048 17168546 34337092 68674184 137348368 274696736 4472406233 8661531457 8944812466 17323062914 17889624932 34646125828 35779249864 69292251656 71558499728 138584503312 143116999456 277169006624 4512657889097 9025315778194 18050631556388 36101263112776 72202526225552 144405052451104