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144117221024 = 2572194837447
BaseRepresentation
bin1000011000111000001…
…1100100011010100000
3111202222202222101012202
42012032003210122200
54330123002033044
6150112340112332
713261234111100
oct2061603443240
9452882871182
10144117221024
1156135461247
1223b206956a8
131078987675a
146d92377200
153b373edc4e
hex218e0e46a0

144117221024 has 72 divisors (see below), whose sum is σ = 347425515360. Its totient is φ = 58513746816.

The previous prime is 144117221023. The next prime is 144117221051. The reversal of 144117221024 is 420122711441.

It is not an unprimeable number, because it can be changed into a prime (144117221021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2388932 + ... + 2448515.

It is an arithmetic number, because the mean of its divisors is an integer number (4825354380).

Almost surely, 2144117221024 is an apocalyptic number.

144117221024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144117221024 is an abundant number, since it is smaller than the sum of its proper divisors (203308294336).

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

144117221024 is a wasteful number, since it uses less digits than its factorization.

144117221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837490 (or 4837475 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

Adding to 144117221024 its reverse (420122711441), we get a palindrome (564239932465).

The spelling of 144117221024 in words is "one hundred forty-four billion, one hundred seventeen million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 29792 4837447 9674894 19349788 33862129 38699576 67724258 77399152 91911493 135448516 154798304 183822986 237034903 270897032 367645972 474069806 541794064 643380451 735291944 948139612 1083588128 1286760902 1470583888 1896279224 2573521804 2941167776 3792558448 4503663157 5147043608 7585116896 9007326314 10294087216 18014652628 20588174432 36029305256 72058610512 144117221024