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1114412411112 = 2337111346387463
BaseRepresentation
bin10000001101111000001…
…001111110100011101000
310221112111022120002222220
4100031320021332203220
5121224304034123422
62211542021314040
7143341115125560
oct20157011764350
93845438502886
101114412411112
1139a68a831860
1215bb92565920
138111c9828a0
143bd1b655da0
151dec5de9e5c
hex1037827e8e8

1114412411112 has 128 divisors (see below), whose sum is σ = 3740685096960. Its totient is φ = 267191781120.

The previous prime is 1114412411083. The next prime is 1114412411129. The reversal of 1114412411112 is 2111142144111.

It is a super-2 number, since 2×11144124111122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23169708 + ... + 23217755.

It is an arithmetic number, because the mean of its divisors is an integer number (29224102320).

Almost surely, 21114412411112 is an apocalyptic number.

1114412411112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1114412411112 is an abundant number, since it is smaller than the sum of its proper divisors (2626272685848).

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

1114412411112 is a wasteful number, since it uses less digits than its factorization.

1114412411112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46387503 (or 46387499 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

Adding to 1114412411112 its reverse (2111142144111), we get a palindrome (3225554555223).

The spelling of 1114412411112 in words is "one trillion, one hundred fourteen billion, four hundred twelve million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 46387463 92774926 139162389 185549852 278324778 324712241 371099704 510262093 556649556 603037019 649424482 974136723 1020524186 1113299112 1206074038 1298848964 1530786279 1809111057 1948273446 2041048372 2412148076 2597697928 3061572558 3571834651 3618222114 3896546892 4082096744 4221259133 4824296152 6123145116 6633407209 7143669302 7236444228 7793093784 8442518266 10715503953 12246290232 12663777399 13266814418 14287338604 14472888456 16885036532 19900221627 21431007906 25327554798 26533628836 28574677208 33770073064 39800443254 42862015812 46433850463 50655109596 53067257672 79600886508 85724031624 92867700926 101310219192 139301551389 159201773016 185735401852 278603102778 371470803704 557206205556 1114412411112