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144134303204040 = 23356613541513167
BaseRepresentation
bin100000110001011011100001…
…111100010100001011001000
3200220100002211102002220100120
4200301123201330110023020
5122342444023110012130
61230314215040503240
742234234253506012
oct4061334174241310
9626302742086316
10144134303204040
1141a20018648916
12141ba23a61ab20
136256a63a82626
1427841cd4151b2
15119e3e5ec3910
hex8316e1f142c8

144134303204040 has 128 divisors (see below), whose sum is σ = 433180216465920. Its totient is φ = 38366753356800.

The previous prime is 144134303204027. The next prime is 144134303204041. The reversal of 144134303204040 is 40402303431441.

It is a super-2 number, since 2×1441343032040402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144134303203992 and 144134303204010.

It is not an unprimeable number, because it can be changed into a prime (144134303204041) 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, 280615537 + ... + 281128703.

It is an arithmetic number, because the mean of its divisors is an integer number (3384220441140).

Almost surely, 2144134303204040 is an apocalyptic number.

144134303204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144134303204040 is an abundant number, since it is smaller than the sum of its proper divisors (289045913261880).

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

144134303204040 is a wasteful number, since it uses less digits than its factorization.

144134303204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517383 (or 517379 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144134303204040 its reverse (40402303431441), we get a palindrome (184536606635481).

The spelling of 144134303204040 in words is "one hundred forty-four trillion, one hundred thirty-four billion, three hundred three million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 661 1322 1983 2644 3305 3541 3966 5288 6610 7082 7932 9915 10623 13220 14164 15864 17705 19830 21246 26440 28328 35410 39660 42492 53115 70820 79320 84984 106230 141640 212460 424920 513167 1026334 1539501 2052668 2340601 2565835 3079002 4105336 4681202 5131670 6158004 7021803 7697505 9362404 10263340 11703005 12316008 14043606 15395010 18724808 20526680 23406010 28087212 30790020 35109015 46812020 56174424 61580040 70218030 93624040 140436060 280872120 339203387 678406774 1017610161 1356813548 1696016935 1817124347 2035220322 2713627096 3392033870 3634248694 4070440644 5088050805 5451373041 6784067740 7268497388 8140881288 9085621735 10176101610 10902746082 13568135480 14536994776 18171243470 20352203220 21805492164 27256865205 36342486940 40704406440 43610984328 54513730410 72684973880 109027460820 218054921640 1201119193367 2402238386734 3603357580101 4804476773468 6005595966835 7206715160202 9608953546936 12011191933670 14413430320404 18016787900505 24022383867340 28826860640808 36033575801010 48044767734680 72067151602020 144134303204040