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4054441050140 = 22513137179635893
BaseRepresentation
bin111010111111111111100…
…001001100000000011100
3112100121012222010121001112
4322333333201030000130
51012411443402101030
612342330130401152
7565631554204655
oct72777741140034
915317188117045
104054441050140
11132352a301398
125559401301b8
13235441971c80
141003437d252c
15706ea696a95
hex3afff84c01c

4054441050140 has 96 divisors (see below), whose sum is σ = 9287816892480. Its totient is φ = 1477792659456.

The previous prime is 4054441050089. The next prime is 4054441050151. The reversal of 4054441050140 is 410501444504.

It is a junction number, because it is equal to n+sod(n) for n = 4054441050097 and 4054441050106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6058034 + ... + 6693926.

It is an arithmetic number, because the mean of its divisors is an integer number (96748092630).

Almost surely, 24054441050140 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 4054441050140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643908446240).

4054441050140 is an abundant number, since it is smaller than the sum of its proper divisors (5233375842340).

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

4054441050140 is a wasteful number, since it uses less digits than its factorization.

4054441050140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636231 (or 636229 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 4054441050140 its reverse (410501444504), we get a palindrome (4464942494644).

The spelling of 4054441050140 in words is "four trillion, fifty-four billion, four hundred forty-one million, fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 179 260 274 358 548 685 716 895 1370 1781 1790 2327 2740 3562 3580 4654 7124 8905 9308 11635 17810 23270 24523 35620 46540 49046 98092 122615 245230 318799 490460 635893 637598 1271786 1275196 1593995 2543572 3179465 3187990 6358930 6375980 8266609 12717860 16533218 33066436 41333045 82666090 87117341 113824847 165332180 174234682 227649694 348469364 435586705 455299388 569124235 871173410 1132525433 1138248470 1479723011 1742346820 2265050866 2276496940 2959446022 4530101732 5662627165 5918892044 7398615055 11325254330 14797230110 15594004039 22650508660 29594460220 31188008078 62376016156 77970020195 155940040390 202722052507 311880080780 405444105014 810888210028 1013610262535 2027220525070 4054441050140