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144552207328 = 2519433739743
BaseRepresentation
bin1000011010011111111…
…0111010001111100000
3111211010002110222020121
42012213332322033200
54332020331113303
6150223435250024
713305065326534
oct2064776721740
9454102428217
10144552207328
1156338a52961
12240222a9914
1310828a177b9
146dd4047bc4
153b606c39bd
hex21a7fba3e0

144552207328 has 96 divisors (see below), whose sum is σ = 301068230400. Its totient is φ = 68129703936.

The previous prime is 144552207311. The next prime is 144552207341. The reversal of 144552207328 is 823702255441.

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, 194551725 + ... + 194552467.

It is an arithmetic number, because the mean of its divisors is an integer number (3136127400).

Almost surely, 2144552207328 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 144552207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150534115200).

144552207328 is an abundant number, since it is smaller than the sum of its proper divisors (156516023072).

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

144552207328 is a wasteful number, since it uses less digits than its factorization.

144552207328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 43.

The spelling of 144552207328 in words is "one hundred forty-four billion, five hundred fifty-two million, two hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 433 608 739 743 866 1478 1486 1732 2956 2972 3464 5912 5944 6928 8227 11824 11888 13856 14041 14117 16454 23648 23776 28082 28234 32908 56164 56468 65816 112328 112936 131632 224656 225872 263264 319987 321719 449312 451744 549077 639974 643438 1098154 1279948 1286876 2196308 2559896 2573752 4392616 5119792 5147504 6079753 6112661 8785232 10239584 10295008 10432463 12159506 12225322 17570464 20864926 24319012 24450644 41729852 48638024 48901288 83459704 97276048 97802576 166919408 194552096 195605152 237750341 333838816 475500682 951001364 1902002728 3804005456 4517256479 7608010912 9034512958 18069025916 36138051832 72276103664 144552207328