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144434004421432 = 231153131458351581
BaseRepresentation
bin100000110101110010101001…
…100001101110101100111000
3200221101202102002211012102011
4200311302221201232230320
5122412401320112441212
61231104022102015304
742265004163022135
oct4065625141565470
9627352362735364
10144434004421432
1142026132122340
121424833ba17534
1362790b6a1b59b
1427949009bd58c
1511a70d73144a7
hex835ca986eb38

144434004421432 has 128 divisors (see below), whose sum is σ = 303377230379520. Its totient is φ = 63906217024000.

The previous prime is 144434004421417. The next prime is 144434004421457. The reversal of 144434004421432 is 234124400434441.

144434004421432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444340044214322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2800113882 + ... + 2800165462.

It is an arithmetic number, because the mean of its divisors is an integer number (2370134612340).

Almost surely, 2144434004421432 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 144434004421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151688615189760).

144434004421432 is an abundant number, since it is smaller than the sum of its proper divisors (158943225958088).

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

144434004421432 is a wasteful number, since it uses less digits than its factorization.

144434004421432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56365 (or 56361 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 144434004421432 its reverse (234124400434441), we get a palindrome (378558404855873).

The spelling of 144434004421432 in words is "one hundred forty-four trillion, four hundred thirty-four billion, four million, four hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 131 212 262 424 524 583 1048 1166 1441 2332 2882 4583 4664 5764 6943 9166 11528 13886 18332 27772 36664 50413 51581 55544 76373 100826 103162 152746 201652 206324 242899 305492 403304 412648 485798 567391 600373 610984 971596 1134782 1200746 1943192 2269564 2401492 2671889 2733793 4539128 4802984 5343778 5467586 6604103 6757111 10687556 10935172 13208206 13514222 21375112 21870344 26416412 27028444 30071723 31819769 52832824 54056888 60143446 63639538 74328221 120286892 127279076 148656442 236395723 240573784 254558152 297312884 350017459 358126883 472791446 594625768 700034918 716253766 945582892 1400069836 1432507532 1891165784 2600352953 2800139672 2865015064 3939395713 5200705906 7878791426 10401411812 12528973319 15757582852 20802823624 25057946638 30967839713 31515165704 50115893276 61935679426 100231786552 123871358852 137818706509 247742717704 275637413018 340646236843 551274826036 681292473686 1102549652072 1362584947372 1641295504789 2725169894744 3282591009578 6565182019156 13130364038312 18054250552679 36108501105358 72217002210716 144434004421432