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45410211440 = 245112912714011
BaseRepresentation
bin101010010010101010…
…001101011001110000
311100012201022202100222
4222102222031121300
51221000003231230
632510002232212
73165210266666
oct522252153160
9140181282328
1045410211440
1118292975a70
128973955668
134388bb95c9
1422aad30c36
1512ab96c6e5
hexa92a8d670

45410211440 has 160 divisors (see below), whose sum is σ = 120095170560. Its totient is φ = 15816729600.

The previous prime is 45410211421. The next prime is 45410211449. The reversal of 45410211440 is 4411201454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45410211449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234035 + ... + 3248045.

It is an arithmetic number, because the mean of its divisors is an integer number (750594816).

Almost surely, 245410211440 is an apocalyptic number.

45410211440 is a gapful number since it is divisible by the number (40) 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 45410211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60047585280).

45410211440 is an abundant number, since it is smaller than the sum of its proper divisors (74684959120).

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

45410211440 is a wasteful number, since it uses less digits than its factorization.

45410211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14191 (or 14185 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 45410211440 its reverse (4411201454), we get a palindrome (49821412894).

The spelling of 45410211440 in words is "forty-five billion, four hundred ten million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 127 145 176 220 232 254 290 319 440 464 508 580 635 638 880 1016 1160 1270 1276 1397 1595 2032 2320 2540 2552 2794 3190 3683 5080 5104 5588 6380 6985 7366 10160 11176 12760 13970 14011 14732 18415 22352 25520 27940 28022 29464 36830 40513 55880 56044 58928 70055 73660 81026 111760 112088 140110 147320 154121 162052 202565 224176 280220 294640 308242 324104 405130 406319 560440 616484 648208 770605 810260 812638 1120880 1232968 1541210 1620520 1625276 1779397 2031595 2465936 3082420 3241040 3250552 3558794 4063190 4469509 6164840 6501104 7117588 8126380 8896985 8939018 12329680 14235176 16252760 17793970 17878036 19573367 22347545 28470352 32505520 35587940 35756072 39146734 44695090 51602513 71175880 71512144 78293468 89390180 97866835 103205026 142351760 156586936 178780360 195733670 206410052 258012565 313173872 357560720 391467340 412820104 516025130 567627643 782934680 825640208 1032050260 1135255286 1565869360 2064100520 2270510572 2838138215 4128201040 4541021144 5676276430 9082042288 11352552860 22705105720 45410211440