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440044004430 = 23451279424757
BaseRepresentation
bin1100110011101001010…
…10101010010001001110
31120001211102102120020000
412121310222222101032
524202202231120210
6534053050105130
743535462215422
oct6316452522116
91501742376200
10440044004430
1115a692406638
1271349a1b1a6
133265a85a014
1417426546b82
15b6a71c3ac0
hex6674aaa44e

440044004430 has 80 divisors (see below), whose sum is σ = 1184157342720. Its totient is φ = 117253044288.

The previous prime is 440044004359. The next prime is 440044004443. The reversal of 440044004430 is 34400440044.

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 = 440044004394 and 440044004403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 823612 + ... + 1248368.

It is an arithmetic number, because the mean of its divisors is an integer number (14801966784).

Almost surely, 2440044004430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440044004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592078671360).

440044004430 is an abundant number, since it is smaller than the sum of its proper divisors (744113338290).

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

440044004430 is a wasteful number, since it uses less digits than its factorization.

440044004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426055 (or 426046 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 440044004430 its reverse (34400440044), we get a palindrome (474444444474).

The spelling of 440044004430 in words is "four hundred forty billion, forty-four million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1279 2558 3837 6395 7674 11511 12790 19185 23022 34533 38370 57555 69066 103599 115110 172665 207198 345330 424757 517995 849514 1035990 1274271 2123785 2548542 3822813 4247570 6371355 7645626 11468439 12742710 19114065 22936878 34405317 38228130 57342195 68810634 114684390 172026585 344053170 543264203 1086528406 1629792609 2716321015 3259585218 4889377827 5432642030 8148963045 9778755654 14668133481 16297926090 24446889135 29336266962 44004400443 48893778270 73340667405 88008800886 146681334810 220022002215 440044004430