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144002224324024 = 231143233360745281
BaseRepresentation
bin100000101111100000100001…
…011011010111110110111000
3200212212110220121101121110121
4200233200201123113312320
5122333313023411332044
61230133413020023024
742221550234526663
oct4057404133276670
9625773817347417
10144002224324024
114197a000556430
1214198719691a74
1362474752a60a1
14277ba5dbda6da
15119ac658ba984
hex82f8216d7db8

144002224324024 has 128 divisors (see below), whose sum is σ = 302784171655680. Its totient is φ = 63639888076800.

The previous prime is 144002224323959. The next prime is 144002224324027. The reversal of 144002224324024 is 420423422200441.

144002224324024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1440022243240242 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144002224324027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3180168264 + ... + 3180213544.

It is an arithmetic number, because the mean of its divisors is an integer number (2365501341060).

Almost surely, 2144002224324024 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 144002224324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151392085827840).

144002224324024 is an abundant number, since it is smaller than the sum of its proper divisors (158781947331656).

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

144002224324024 is a wasteful number, since it uses less digits than its factorization.

144002224324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49181 (or 49177 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 144002224324024 its reverse (420423422200441), we get a palindrome (564425646524465).

The spelling of 144002224324024 in words is "one hundred forty-four trillion, two billion, two hundred twenty-four million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 233 344 466 473 932 946 1864 1892 2563 3607 3784 5126 7214 10019 10252 14428 20038 20504 28856 39677 40076 45281 79354 80152 90562 110209 155101 158708 181124 220418 310202 317416 362248 440836 498091 620404 840431 881672 996182 1240808 1680862 1706111 1947083 1992364 3361724 3412222 3894166 3984728 6723448 6824444 7788332 9244741 10550473 13648888 15576664 18489482 21100946 21417913 36138533 36978964 42201892 42835826 72277066 73957928 84403784 85671652 116055203 144554132 163328567 171343304 232110406 289108264 326657134 397523863 453670339 464220812 653314268 795047726 907340678 928441624 1306628536 1590095452 1796614237 1814681356 3180190904 3593228474 3629362712 4990373729 7023128381 7186456948 9980747458 14046256762 14372913896 19961494916 28092513524 38055556111 39922989832 56185027048 76111112222 77254412191 152222224444 154508824382 304444448888 309017648764 418611117221 618035297528 837222234442 1636388912773 1674444468884 3272777825546 3348888937768 6545555651092 13091111302184 18000278040503 36000556081006 72001112162012 144002224324024