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45444040440 = 23351492541613
BaseRepresentation
bin101010010100101011…
…010000011011111000
311100022001222110000220
4222110223100123320
51221032133243230
632513211300040
73166100653551
oct522453203370
9140261873026
1045444040440
11182aaa81217
12898314a620
134392c02376
1422b1619328
1512ae900d10
hexa94ad06f8

45444040440 has 64 divisors (see below), whose sum is σ = 137247156000. Its totient is φ = 12037074432.

The previous prime is 45444040427. The next prime is 45444040451. The reversal of 45444040440 is 4404044454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252927 + ... + 1288686.

Almost surely, 245444040440 is an apocalyptic number.

45444040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45444040440 is an abundant number, since it is smaller than the sum of its proper divisors (91803115560).

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

45444040440 is a wasteful number, since it uses less digits than its factorization.

45444040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541776 (or 2541772 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 33.

Adding to 45444040440 its reverse (4404044454), we get a palindrome (49848084894).

The spelling of 45444040440 in words is "forty-five billion, four hundred forty-four million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 596 745 894 1192 1490 1788 2235 2980 3576 4470 5960 8940 17880 2541613 5083226 7624839 10166452 12708065 15249678 20332904 25416130 30499356 38124195 50832260 60998712 76248390 101664520 152496780 304993560 378700337 757400674 1136101011 1514801348 1893501685 2272202022 3029602696 3787003370 4544404044 5680505055 7574006740 9088808088 11361010110 15148013480 22722020220 45444040440