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114440015412 = 223223297365287
BaseRepresentation
bin110101010010100101…
…0000000111000110100
3101221101112002010111100
41222211022000320310
53333333120443122
6124323434410100
711160634036542
oct1524512007064
9357345063440
10114440015412
1144596450438
121a219890930
13aa3a330768
145778b56d92
152e9bcd7aac
hex1aa5280e34

114440015412 has 144 divisors (see below), whose sum is σ = 316547562240. Its totient is φ = 34746776064.

The previous prime is 114440015411. The next prime is 114440015423. The reversal of 114440015412 is 214510044411.

It is a happy number.

114440015412 is a `hidden beast` number, since 114 + 4 + 4 + 0 + 0 + 1 + 541 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114440015411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720233 + ... + 1785519.

It is an arithmetic number, because the mean of its divisors is an integer number (2198246960).

Almost surely, 2114440015412 is an apocalyptic number.

114440015412 is a gapful number since it is divisible by the number (12) 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 114440015412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158273781120).

114440015412 is an abundant number, since it is smaller than the sum of its proper divisors (202107546828).

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

114440015412 is a wasteful number, since it uses less digits than its factorization.

114440015412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65422 (or 65417 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114440015412 its reverse (214510044411), we get a palindrome (328950059823).

The spelling of 114440015412 in words is "one hundred fourteen billion, four hundred forty million, fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 73 87 92 116 138 146 174 207 219 261 276 292 348 414 438 522 657 667 828 876 1044 1314 1334 1679 2001 2117 2628 2668 3358 4002 4234 5037 6003 6351 6716 8004 8468 10074 12006 12702 15111 19053 20148 24012 25404 30222 38106 48691 60444 65287 76212 97382 130574 146073 194764 195861 261148 292146 391722 438219 584292 587583 783444 876438 1175166 1501601 1752876 1893323 2350332 3003202 3786646 4504803 4765951 5679969 6006404 7573292 9009606 9531902 11359938 13514409 14297853 17039907 18019212 19063804 22719876 27028818 28595706 34079814 42893559 43546429 54057636 57191412 68159628 85787118 87092858 109616873 130639287 138212579 171574236 174185716 219233746 261278574 276425158 328850619 391917861 414637737 438467492 522557148 552850316 657701238 783835722 829275474 986551857 1243913211 1315402476 1567671444 1658550948 1973103714 2487826422 3178889317 3946207428 4975652844 6357778634 9536667951 12715557268 19073335902 28610003853 38146671804 57220007706 114440015412