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11410432041414 = 2376167653101797
BaseRepresentation
bin1010011000001011001010…
…1111111010000111000110
31111101211022121221122211110
42212002302233322013012
52443422031100311124
640133514034345450
72255243100031260
oct246026257720706
944354277848743
1011410432041414
1136aa15646643a
12134350272b286
13649ccb0cc363
142b63a7002b30
1514bc28d53029
hexa60b2bfa1c6

11410432041414 has 128 divisors (see below), whose sum is σ = 26945660224512. Its totient is φ = 3153949539840.

The previous prime is 11410432041397. The next prime is 11410432041427. The reversal of 11410432041414 is 41414023401411.

11410432041414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114104320414142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112039164 + ... + 112140960.

It is an arithmetic number, because the mean of its divisors is an integer number (210512970504).

Almost surely, 211410432041414 is an apocalyptic number.

11410432041414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11410432041414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472830112256).

11410432041414 is an abundant number, since it is smaller than the sum of its proper divisors (15535228183098).

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

11410432041414 is a wasteful number, since it uses less digits than its factorization.

11410432041414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102590.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 11410432041414 its reverse (41414023401411), we get a palindrome (52824455442825).

The spelling of 11410432041414 in words is "eleven trillion, four hundred ten billion, four hundred thirty-two million, forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 61 67 122 134 183 201 366 402 427 469 653 854 938 1281 1306 1407 1959 2562 2814 3918 4087 4571 8174 9142 12261 13713 24522 27426 28609 39833 43751 57218 79666 85827 87502 101797 119499 131253 171654 203594 238998 262506 278831 305391 306257 557662 610782 612514 712579 836493 918771 1425158 1672986 1837542 2137737 2668811 4275474 5337622 6209617 6820399 8006433 12419234 13640798 16012866 18628851 18681677 20461197 37257702 37363354 40922394 43467319 47742793 56045031 66473441 86934638 95485586 112090062 130401957 132946882 143228379 199420323 260803914 286456758 398840646 416044339 465314087 832088678 930628174 1248133017 1395942261 2496266034 2791884522 2912310373 4054879901 4453720547 5824620746 8109759802 8736931119 8907441094 12164639703 13361161641 17473862238 24329279406 26722323282 28384159307 31176043829 56768318614 62352087658 85152477921 93528131487 170304955842 187056262974 271676953367 543353906734 815030860101 1630061720202 1901738673569 3803477347138 5705216020707 11410432041414