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440220422004 = 2231123389372751
BaseRepresentation
bin1100110011111110010…
…11101000111101110100
31120002021201101111122020
412121333023220331310
524203032412001004
6534122351233140
743543033563366
oct6317713507564
91502251344566
10440220422004
1115a772a51790
1271398b187b0
133268827840c
1417441b4ad36
15b6b79208d9
hex667f2e8f74

440220422004 has 96 divisors (see below), whose sum is σ = 1172290129920. Its totient is φ = 127271760000.

The previous prime is 440220421999. The next prime is 440220422023. The reversal of 440220422004 is 400224022044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994629 + ... + 1367379.

It is an arithmetic number, because the mean of its divisors is an integer number (12211355520).

Almost surely, 2440220422004 is an apocalyptic number.

440220422004 is a gapful number since it is divisible by the number (44) 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 440220422004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586145064960).

440220422004 is an abundant number, since it is smaller than the sum of its proper divisors (732069707916).

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

440220422004 is a wasteful number, since it uses less digits than its factorization.

440220422004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373181 (or 373179 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 440220422004 its reverse (400224022044), we get a palindrome (840444444048).

The spelling of 440220422004 in words is "four hundred forty billion, two hundred twenty million, four hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 389 506 759 778 1012 1167 1518 1556 2334 3036 4279 4668 8558 8947 12837 17116 17894 25674 26841 35788 51348 53682 98417 107364 196834 295251 372751 393668 590502 745502 1118253 1181004 1491004 2236506 4100261 4473012 8200522 8573273 12300783 16401044 17146546 24601566 25719819 34293092 49203132 51439638 94306003 102879276 145000139 188612006 282918009 290000278 377224012 435000417 565836018 580000556 870000834 1131672036 1595001529 1740001668 3190003058 3335003197 4785004587 6380006116 6670006394 9570009174 10005009591 13340012788 19140018348 20010019182 36685035167 40020038364 73370070334 110055105501 146740140668 220110211002 440220422004