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1413055044 = 2234291011489
BaseRepresentation
bin101010000111001…
…1000001001000100
310122110220122010000
41110032120021010
510343220230134
6352114401300
750005525002
oct12416301104
93573818100
101413055044
116656a6195
12335290230
1319699ca5b
14d594da72
15840c2e99
hex54398244

1413055044 has 120 divisors (see below), whose sum is σ = 3861811800. Its totient is φ = 449971200.

The previous prime is 1413055027. The next prime is 1413055093. The reversal of 1413055044 is 4405503141.

It is a happy number.

1413055044 is a `hidden beast` number, since 1 + 41 + 30 + 550 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 380718144 + 1032336900 = 19512^2 + 32130^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1413054999 and 1413055017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 948252 + ... + 949740.

It is an arithmetic number, because the mean of its divisors is an integer number (32181765).

Almost surely, 21413055044 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 1413055044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930905900).

1413055044 is an abundant number, since it is smaller than the sum of its proper divisors (2448756756).

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

1413055044 is a wasteful number, since it uses less digits than its factorization.

1413055044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1413055044 is about 37590.6244162025. The cubic root of 1413055044 is about 1122.1554590278.

Adding to 1413055044 its reverse (4405503141), we get a palindrome (5818558185).

The spelling of 1413055044 in words is "one billion, four hundred thirteen million, fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 101 108 116 162 174 202 261 303 324 348 404 522 606 783 909 1044 1212 1489 1566 1818 2349 2727 2929 2978 3132 3636 4467 4698 5454 5858 5956 8181 8787 8934 9396 10908 11716 13401 16362 17574 17868 26361 26802 32724 35148 40203 43181 52722 53604 79083 80406 86362 105444 120609 129543 150389 158166 160812 172724 237249 241218 259086 300778 316332 388629 451167 474498 482436 518172 601556 777258 902334 948996 1165887 1353501 1554516 1804668 2331774 2707002 3497661 4060503 4361281 4663548 5414004 6995322 8121006 8722562 12181509 13083843 13990644 16242012 17445124 24363018 26167686 39251529 48726036 52335372 78503058 117754587 157006116 235509174 353263761 471018348 706527522 1413055044