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144984026352 = 243111571919157
BaseRepresentation
bin1000011100000110111…
…0001010110011110000
3111212020012000122120210
42013001232022303300
54333411402320402
6150334342504120
713321560614244
oct2070156126360
9455205018523
10144984026352
115653a780990
1224122a35040
131089731a009
147035532424
153b8857006c
hex21c1b8acf0

144984026352 has 160 divisors (see below), whose sum is σ = 413391826944. Its totient is φ = 43421414400.

The previous prime is 144984026347. The next prime is 144984026359. The reversal of 144984026352 is 253620489441.

144984026352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144984026359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15828558 + ... + 15837714.

Almost surely, 2144984026352 is an apocalyptic number.

144984026352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144984026352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206695913472).

144984026352 is an abundant number, since it is smaller than the sum of its proper divisors (268407800592).

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

144984026352 is a wasteful number, since it uses less digits than its factorization.

144984026352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 144984026352 in words is "one hundred forty-four billion, nine hundred eighty-four million, twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 157 176 191 264 314 382 471 528 573 628 764 942 1146 1256 1528 1727 1884 2101 2292 2512 3056 3454 3768 4202 4584 5181 6303 6908 7536 8404 9157 9168 10362 12606 13816 16808 18314 20724 25212 27471 27632 29987 33616 36628 41448 50424 54942 59974 73256 82896 89961 100727 100848 109884 119948 146512 179922 201454 219768 239896 302181 329857 359844 402908 439536 479792 604362 659714 719688 805816 989571 1208724 1319428 1437649 1439376 1611632 1748987 1979142 2417448 2638856 2875298 3497974 3958284 4312947 4834896 5246961 5277712 5750596 6995948 7916568 8625894 10493922 11501192 13991896 15814139 15833136 17251788 19238857 20987844 23002384 27983792 31628278 34503576 38477714 41975688 47442417 57716571 63256556 69007152 76955428 83951376 94884834 115433142 126513112 153910856 189769668 230866284 253026224 274590959 307821712 379539336 461732568 549181918 759078672 823772877 923465136 1098363836 1647545754 2196727672 3020500549 3295091508 4393455344 6041001098 6590183016 9061501647 12082002196 13180366032 18123003294 24164004392 36246006588 48328008784 72492013176 144984026352