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1144312134224 = 24723736085213
BaseRepresentation
bin10000101001101110010…
…100010111101001010000
311001101200002011102100012
4100221232110113221100
5122222022401243344
62233404552214052
7145450056440150
oct20515624275120
94041602142305
101144312134224
11401333405326
1216593799a328
1383ba633813c
143d55663a760
151eb75d1729e
hex10a6e517a50

1144312134224 has 80 divisors (see below), whose sum is σ = 2680220335872. Its totient is φ = 462670838784.

The previous prime is 1144312134193. The next prime is 1144312134233. The reversal of 1144312134224 is 4224312134411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2854559 + ... + 3230654.

Almost surely, 21144312134224 is an apocalyptic number.

1144312134224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1144312134224 is an abundant number, since it is smaller than the sum of its proper divisors (1535908201648).

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

1144312134224 is a wasteful number, since it uses less digits than its factorization.

1144312134224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085324 (or 6085318 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 1144312134224 its reverse (4224312134411), we get a palindrome (5368624268635).

The spelling of 1144312134224 in words is "one trillion, one hundred forty-four billion, three hundred twelve million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 73 92 112 146 161 184 292 322 368 511 584 644 1022 1168 1288 1679 2044 2576 3358 4088 6716 8176 11753 13432 23506 26864 47012 94024 188048 6085213 12170426 24340852 42596491 48681704 85192982 97363408 139959899 170385964 279919798 340771928 444220549 559839596 681543856 888441098 979719293 1119679192 1776882196 1959438586 2239358384 3109543843 3553764392 3918877172 6219087686 7107528784 7837754344 10217072627 12438175372 15675508688 20434145254 24876350744 40868290508 49752701488 71519508389 81736581016 143039016778 163473162032 286078033556 572156067112 1144312134224