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114412024144 = 24114111158129
BaseRepresentation
bin110101010001101111…
…1001111000101010000
3101221022120102000200201
41222203133033011100
53333303434233034
6124320554424544
711160144105415
oct1524337170520
9357276360621
10114412024144
1144581672160
121a210432154
13aa345acb92
14577514c10c
152e99609014
hex1aa37cf150

114412024144 has 40 divisors (see below), whose sum is σ = 241885768320. Its totient is φ = 51992486400.

The previous prime is 114412024127. The next prime is 114412024151. The reversal of 114412024144 is 441420214411.

It is a super-2 number, since 2×1144120241442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 644472 + ... + 802600.

It is an arithmetic number, because the mean of its divisors is an integer number (6047144208).

Almost surely, 2114412024144 is an apocalyptic number.

It is an amenable number.

114412024144 is an abundant number, since it is smaller than the sum of its proper divisors (127473744176).

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

114412024144 is a wasteful number, since it uses less digits than its factorization.

114412024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162259 (or 162253 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 114412024144 its reverse (441420214411), we get a palindrome (555832238555).

The spelling of 114412024144 in words is "one hundred fourteen billion, four hundred twelve million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 4111 8222 16444 32888 45221 65776 90442 158129 180884 316258 361768 632516 723536 1265032 1739419 2530064 3478838 6957676 13915352 27830704 650068319 1300136638 2600273276 5200546552 7150751509 10401093104 14301503018 28603006036 57206012072 114412024144