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144310002140040 = 233511337324408781
BaseRepresentation
bin100000110011111111001010…
…011010100100001110001000
3200220221220100011122121222120
4200303333022122210032020
5122403333341021440130
61230531033314451240
742253024245021642
oct4063771232441610
9626856304577876
10144310002140040
1141a8858a065a50
12142282b3893b20
13626a4b45c4299
14278c8d9ccb892
1511a3c7acd7910
hex833fca6a4388

144310002140040 has 128 divisors (see below), whose sum is σ = 473688727125120. Its totient is φ = 34880432025600.

The previous prime is 144310002139993. The next prime is 144310002140137. The reversal of 144310002140040 is 40041200013441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161759551 + ... + 162649230.

It is an arithmetic number, because the mean of its divisors is an integer number (3700693180665).

Almost surely, 2144310002140040 is an apocalyptic number.

144310002140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144310002140040 is an abundant number, since it is smaller than the sum of its proper divisors (329378724985080).

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

144310002140040 is a wasteful number, since it uses less digits than its factorization.

144310002140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324409143 (or 324409139 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144310002140040 its reverse (40041200013441), we get a palindrome (184351202153481).

The spelling of 144310002140040 in words is "one hundred forty-four trillion, three hundred ten billion, two million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 337 440 660 674 1011 1320 1348 1685 2022 2696 3370 3707 4044 5055 6740 7414 8088 10110 11121 13480 14828 18535 20220 22242 29656 37070 40440 44484 55605 74140 88968 111210 148280 222420 444840 324408781 648817562 973226343 1297635124 1622043905 1946452686 2595270248 3244087810 3568496591 3892905372 4866131715 6488175620 7136993182 7785810744 9732263430 10705489773 12976351240 14273986364 17842482955 19464526860 21410979546 28547972728 35684965910 38929053720 42821959092 53527448865 71369931820 85643918184 107054897730 109325759197 142739863640 214109795460 218651518394 327977277591 428219590920 437303036788 546628795985 655954555182 874606073576 1093257591970 1202583351167 1311909110364 1639886387955 2186515183940 2405166702334 2623818220728 3279772775910 3607750053501 4373030367880 4810333404668 6012916755835 6559545551820 7215500107002 9620666809336 12025833511670 13119091103640 14431000214004 18038750267505 24051667023340 28862000428008 36077500535010 48103334046680 72155001070020 144310002140040