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12411240400410 = 23517251106191381
BaseRepresentation
bin1011010010011011011110…
…0100110100011000011010
31121221111120200102222101120
42310212313210310120122
53111321210020303120
642221351203030110
72420453051520135
oct264466744643032
947844520388346
1012411240400410
113a55639711415
12148546b36b336
136c04b49b6717
1430c9c894d21c
15167ca1543140
hexb49b793461a

12411240400410 has 128 divisors (see below), whose sum is σ = 31694997212928. Its totient is φ = 3099609600000.

The previous prime is 12411240400357. The next prime is 12411240400441. The reversal of 12411240400410 is 1400404211421.

12411240400410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 135772920 + ... + 135864300.

It is an arithmetic number, because the mean of its divisors is an integer number (247617165726).

Almost surely, 212411240400410 is an apocalyptic number.

12411240400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12411240400410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15847498606464).

12411240400410 is an abundant number, since it is smaller than the sum of its proper divisors (19283756812518).

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

12411240400410 is a wasteful number, since it uses less digits than its factorization.

12411240400410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92720.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12411240400410 its reverse (1400404211421), we get a palindrome (13811644611831).

The spelling of 12411240400410 in words is "twelve trillion, four hundred eleven billion, two hundred forty million, four hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 251 255 502 510 753 1061 1255 1506 2122 2510 3183 3765 4267 5305 6366 7530 8534 10610 12801 15915 18037 21335 25602 31830 36074 42670 54111 64005 90185 91381 108222 128010 180370 182762 266311 270555 274143 456905 532622 541110 548286 798933 913810 1331555 1370715 1553477 1597866 2663110 2741430 3106954 3994665 4527287 4660431 7767385 7989330 9054574 9320862 13581861 15534770 22636435 22936631 23302155 27163722 45272870 45873262 46604310 67909305 68809893 96955241 114683155 135818610 137619786 193910482 229366310 290865723 344049465 389922727 484776205 581731446 688098930 779845454 969552410 1169768181 1454328615 1648239097 1949613635 2339536362 2908657230 3296478194 3899227270 4944717291 5848840905 8241195485 9889434582 11697681810 16482390970 24335765491 24723586455 48671530982 49447172910 73007296473 121678827455 146014592946 243357654910 365036482365 413708013347 730072964730 827416026694 1241124040041 2068540066735 2482248080082 4137080133470 6205620200205 12411240400410