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144552450440 = 23517953223061
BaseRepresentation
bin1000011010011111111…
…1110101100110001000
3111211010002221022201202
42012213333311212020
54332020411403230
6150223444403332
713305100361366
oct2064777654610
9454102838652
10144552450440
11563390a9582
12240223a6548
1310828aa1358
146dd40ac636
153b60720a45
hex21a7ff5988

144552450440 has 64 divisors (see below), whose sum is σ = 344737859760. Its totient is φ = 54362398720.

The previous prime is 144552450437. The next prime is 144552450461. The reversal of 144552450440 is 44054255441.

It can be written as a sum of positive squares in 8 ways, for example, as 68831720164 + 75720730276 = 262358^2 + 275174^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144552450394 and 144552450403.

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, 536510 + ... + 759570.

Almost surely, 2144552450440 is an apocalyptic number.

144552450440 is a gapful number since it is divisible by the number (10) 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 144552450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368929880).

144552450440 is an abundant number, since it is smaller than the sum of its proper divisors (200185409320).

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

144552450440 is a wasteful number, since it uses less digits than its factorization.

144552450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224042 (or 224038 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 38.

The spelling of 144552450440 in words is "one hundred forty-four billion, five hundred fifty-two million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 953 1906 3812 4765 7624 9530 16201 19060 32402 38120 64804 81005 129608 162010 223061 324020 446122 648040 892244 1115305 1784488 2230610 3792037 4461220 7584074 8922440 15168148 18960185 30336296 37920370 75840740 151681480 212577133 425154266 850308532 1062885665 1700617064 2125771330 3613811261 4251542660 7227622522 8503085320 14455245044 18069056305 28910490088 36138112610 72276225220 144552450440