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144302444430410 = 257113643155318269
BaseRepresentation
bin100000110011111000000111…
…111100001100010001001010
3200220221011211110111012102002
4200303320013330030101022
5122403222401233233120
61230523343334511002
742252336044401040
oct4063700774142112
9626834743435362
10144302444430410
1141a85360a18932
1214226944805462
13626987b8ab956
14278c3c0276390
1511a3987556375
hex833e07f0c44a

144302444430410 has 128 divisors (see below), whose sum is σ = 300153058168320. Its totient is φ = 48926822547456.

The previous prime is 144302444430383. The next prime is 144302444430553. The reversal of 144302444430410 is 14034444203441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7898750756 + ... + 7898769024.

It is an arithmetic number, because the mean of its divisors is an integer number (2344945766940).

Almost surely, 2144302444430410 is an apocalyptic number.

144302444430410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144302444430410 is an abundant number, since it is smaller than the sum of its proper divisors (155850613737910).

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

144302444430410 is a wasteful number, since it uses less digits than its factorization.

144302444430410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20592.

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 144302444430410 its reverse (14034444203441), we get a palindrome (158336888633851).

The spelling of 144302444430410 in words is "one hundred forty-four trillion, three hundred two billion, four hundred forty-four million, four hundred thirty thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 70 113 226 565 643 791 1130 1286 1553 1582 3106 3215 3955 4501 6430 7765 7910 9002 10871 15530 18269 21742 22505 36538 45010 54355 72659 91345 108710 127883 145318 175489 182690 255766 350978 363295 508613 639415 726590 877445 998579 1017226 1228423 1278830 1754890 1997158 2064397 2456846 2543065 4128794 4992895 5086130 6142115 6990053 9985790 10321985 11746967 12284230 13980106 14450779 20643970 23493934 28371757 28901558 34950265 56743514 58734835 69900530 72253895 82228769 112839427 117469670 141858785 144507790 164457538 198602299 225678854 283717570 397204598 411143845 564197135 789875989 822287690 993011495 1128394270 1327407271 1579751978 1986022990 2654814542 3206008541 3949379945 6412017082 6637036355 7898759890 9291850897 13274072710 16030042705 18243039751 18583701794 22442059787 32060085410 36486079502 44884119574 46459254485 91215198755 92918508970 112210298935 127701278257 182430397510 224420597870 255402556514 638506391285 1277012782570 2061463491863 4122926983726 10307317459315 14430244443041 20614634918630 28860488886082 72151222215205 144302444430410