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4454411444540 = 22517591511470559
BaseRepresentation
bin100000011010001111110…
…0111001010000100111100
3120202211121120222211210122
41000310133213022010330
51040440113312211130
613250154532154112
7636551316362201
oct100643747120474
916684546884718
104454411444540
111468118152652
125bb365468938
132640841159b5
14115847a89ca8
157ad096932e5
hex40d1f9ca13c

4454411444540 has 96 divisors (see below), whose sum is σ = 10139099443200. Its totient is φ = 1637613388800.

The previous prime is 4454411444519. The next prime is 4454411444597. The reversal of 4454411444540 is 454441144544.

It is a super-3 number, since 3×44544114445403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4454411444491 and 4454411444500.

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, 2293781 + ... + 3764339.

It is an arithmetic number, because the mean of its divisors is an integer number (105615619200).

Almost surely, 24454411444540 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 4454411444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069549721600).

4454411444540 is an abundant number, since it is smaller than the sum of its proper divisors (5684687998660).

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

4454411444540 is a wasteful number, since it uses less digits than its factorization.

4454411444540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470795 (or 1470793 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 44.

The spelling of 4454411444540 in words is "four trillion, four hundred fifty-four billion, four hundred eleven million, four hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 151 170 236 295 302 340 590 604 755 1003 1180 1510 2006 2567 3020 4012 5015 5134 8909 10030 10268 12835 17818 20060 25670 35636 44545 51340 89090 151453 178180 302906 605812 757265 1470559 1514530 2941118 3029060 5882236 7352795 14705590 24999503 29411180 49999006 86762981 99998012 124997515 173525962 222054409 249995030 347051924 433814905 444108818 499990060 867629810 888217636 1110272045 1474970677 1735259620 2220544090 2949941354 3774924953 4441088180 5899882708 7374853385 7549849906 13101210131 14749706770 15099699812 18874624765 26202420262 29499413540 37749249530 52404840524 65506050655 75498499060 131012101310 222720572227 262024202620 445441144454 890882288908 1113602861135 2227205722270 4454411444540