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144513132544 = 2111117935837
BaseRepresentation
bin1000011010010110100…
…1110110100000000000
3111211000100221202201101
42012211221312200000
54331430330220134
6150215521544144
713304112234064
oct2064551664000
9454010852641
10144513132544
1156318994450
12240111a5054
13108208b6121
146dccb95aa4
153b5c055e14
hex21a5a76800

144513132544 has 96 divisors (see below), whose sum is σ = 316994277600. Its totient is φ = 65318993920.

The previous prime is 144513132499. The next prime is 144513132553. The reversal of 144513132544 is 445231315441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4014594 + ... + 4050430.

It is an arithmetic number, because the mean of its divisors is an integer number (3302023725).

Almost surely, 2144513132544 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 144513132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158497138800).

144513132544 is an abundant number, since it is smaller than the sum of its proper divisors (172481145056).

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

144513132544 is a wasteful number, since it uses less digits than its factorization.

144513132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36049 (or 36029 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

Adding to 144513132544 its reverse (445231315441), we get a palindrome (589744447985).

The spelling of 144513132544 in words is "one hundred forty-four billion, five hundred thirteen million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 179 256 352 358 512 704 716 1024 1408 1432 1969 2048 2816 2864 3938 5632 5728 7876 11264 11456 15752 22528 22912 31504 35837 45824 63008 71674 91648 126016 143348 183296 252032 286696 366592 394207 504064 573392 788414 1008128 1146784 1576828 2016256 2293568 3153656 4032512 4587136 6307312 6414823 9174272 12614624 12829646 18348544 25229248 25659292 36697088 50458496 51318584 70563053 73394176 100916992 102637168 141126106 201833984 205274336 282252212 403667968 410548672 564504424 807335936 821097344 1129008848 1642194688 2258017696 3284389376 4516035392 6568778752 9032070784 13137557504 18064141568 36128283136 72256566272 144513132544