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45144204040 = 23513232164113
BaseRepresentation
bin101010000010110011…
…011110001100001000
311022112011210011211001
4222002303132030020
51214423404012130
632423340544344
73155500255135
oct520263361410
9138464704731
1045144204040
11181667a9741
1288ba8520b4
134345a60b90
14228388958c
1512934256ca
hexa82cde308

45144204040 has 96 divisors (see below), whose sum is σ = 114351352920. Its totient is φ = 15943809024.

The previous prime is 45144204031. The next prime is 45144204067. The reversal of 45144204040 is 4040244154.

It can be written as a sum of positive squares in 4 ways, for example, as 30829038724 + 14315165316 = 175582^2 + 119646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193024 + ... + 357136.

Almost surely, 245144204040 is an apocalyptic number.

45144204040 is a gapful number since it is divisible by the number (40) 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 45144204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57175676460).

45144204040 is an abundant number, since it is smaller than the sum of its proper divisors (69207148880).

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

45144204040 is a wasteful number, since it uses less digits than its factorization.

45144204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164183 (or 164156 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 45144204040 its reverse (4040244154), we get a palindrome (49184448194).

The spelling of 45144204040 in words is "forty-five billion, one hundred forty-four million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 529 598 920 1058 1196 1495 2116 2392 2645 2990 4232 5290 5980 6877 10580 11960 13754 21160 27508 34385 55016 68770 137540 164113 275080 328226 656452 820565 1312904 1641130 2133469 3282260 3774599 4266938 6564520 7549198 8533876 10667345 15098396 17067752 18872995 21334690 30196792 37745990 42669380 49069787 75491980 85338760 86815777 98139574 150983960 173631554 196279148 245348935 347263108 392558296 434078885 490697870 694526216 868157770 981395740 1128605101 1736315540 1962791480 2257210202 3472631080 4514420404 5643025505 9028840808 11286051010 22572102020 45144204040