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2414404405112 = 2372171931877231
BaseRepresentation
bin100011001000100101101…
…101111000011101111000
322112210222222211211001112
4203020211231320131320
5304024200011430422
65045055001335452
7336302122554200
oct43104555703570
98483888754045
102414404405112
11850a41385a17
1232bb17197588
131468a6205c3b
1484c01b19400
1542c0e28cee2
hex23225b78778

2414404405112 has 96 divisors (see below), whose sum is σ = 5604776493120. Its totient is φ = 968830894080.

The previous prime is 2414404405097. The next prime is 2414404405123. The reversal of 2414404405112 is 2115044044142.

2414404405112 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 2×24144044051122 (a number of 26 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 23 ways as a sum of consecutive naturals, for example, 347537 + ... + 2224767.

It is an arithmetic number, because the mean of its divisors is an integer number (58383088470).

Almost surely, 22414404405112 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 2414404405112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802388246560).

2414404405112 is an abundant number, since it is smaller than the sum of its proper divisors (3190372088008).

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

2414404405112 is a wasteful number, since it uses less digits than its factorization.

2414404405112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877461 (or 1877450 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

Adding to 2414404405112 its reverse (2115044044142), we get a palindrome (4529448449254).

The spelling of 2414404405112 in words is "two trillion, four hundred fourteen billion, four hundred four million, four hundred five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 193 196 238 386 392 476 772 833 952 1351 1544 1666 2702 3281 3332 5404 6562 6664 9457 10808 13124 18914 22967 26248 37828 45934 75656 91868 160769 183736 321538 643076 1286152 1877231 3754462 7508924 13140617 15017848 26281234 31912927 52562468 63825854 91984319 105124936 127651708 183968638 223390489 255303416 362305583 367937276 446780978 724611166 735874552 893561956 1449222332 1563733423 1787123912 2536139081 2898444664 3127466846 5072278162 6159194911 6254933692 10144556324 12318389822 12509867384 17752973567 20289112648 24636779644 35505947134 43114364377 49273559288 71011894268 86228728754 142023788536 172457457508 301800550639 344914915016 603601101278 1207202202556 2414404405112