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43112214141444 = 223274112773267571
BaseRepresentation
bin10011100110101110110000…
…01101011001101000000100
312122122111011022220022012100
421303113120031121220010
521122322303310011234
6231405251110152100
712036516566546130
oct1163273015315004
9178574138808170
1043112214141444
1112811872a4a118
124a03529352630
131b09606237816
14a908dc6743c0
154eb6aab1a399
hex2735d8359a04

43112214141444 has 144 divisors (see below), whose sum is σ = 127684061721216. Its totient is φ = 12007927641600.

The previous prime is 43112214141407. The next prime is 43112214141467. The reversal of 43112214141444 is 44414141221134.

43112214141444 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 221 + 414 + 14 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 43112214141399 and 43112214141408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11560179 + ... + 14827749.

It is an arithmetic number, because the mean of its divisors is an integer number (886694873064).

Almost surely, 243112214141444 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 43112214141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63842030860608).

43112214141444 is an abundant number, since it is smaller than the sum of its proper divisors (84571847579772).

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

43112214141444 is a wasteful number, since it uses less digits than its factorization.

43112214141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268906 (or 3268901 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 43112214141444 its reverse (44414141221134), we get a palindrome (87526355362578).

The spelling of 43112214141444 in words is "forty-three trillion, one hundred twelve billion, two hundred fourteen million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1277 1476 1722 2554 2583 3444 3831 5108 5166 7662 8939 10332 11493 15324 17878 22986 26817 35756 45972 52357 53634 80451 104714 107268 157071 160902 209428 314142 321804 366499 471213 628284 732998 942426 1099497 1465996 1884852 2198994 3267571 3298491 4397988 6535142 6596982 9802713 13070284 13193964 19605426 22872997 29408139 39210852 45745994 58816278 68618991 91491988 117632556 133970411 137237982 205856973 267940822 274475964 401911233 411713946 535881644 803822466 823427892 937792877 1205733699 1607644932 1875585754 2411467398 2813378631 3751171508 4172688167 4822934796 5626757262 8345376334 8440135893 11253514524 12518064501 16690752668 16880271786 25036129002 29208817169 33760543572 37554193503 50072258004 58417634338 75108387006 87626451507 116835268676 150216774012 171080214847 175252903014 262879354521 342160429694 350505806028 513240644541 525758709042 684320859388 1026481289082 1051517418084 1197561503929 1539721933623 2052962578164 2395123007858 3079443867246 3592684511787 4790246015716 6158887734492 7185369023574 10778053535361 14370738047148 21556107070722 43112214141444