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144040020320040 = 233513467271976017
BaseRepresentation
bin100000110000000011101110…
…001111101001111100101000
3200220000002110200020010212220
4200300003232033221330220
5122334422430200220130
61230203023303234040
742224355660304125
oct4060035617517450
9626002420203786
10144040020320040
114199403639a679
12141a3b07448920
13624abb9854680
14277d8077a774c
15119bc28b44410
hex8300ee3e9f28

144040020320040 has 128 divisors (see below), whose sum is σ = 465370260284160. Its totient is φ = 35455228268544.

The previous prime is 144040020320033. The next prime is 144040020320057. The reversal of 144040020320040 is 40023020040441.

It is a happy number.

It is a super-2 number, since 2×1440400203200402 (a number of 29 digits) contains 22 as substring.

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, 71906112 + ... + 73882128.

It is an arithmetic number, because the mean of its divisors is an integer number (3635705158470).

Almost surely, 2144040020320040 is an apocalyptic number.

144040020320040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144040020320040 is an abundant number, since it is smaller than the sum of its proper divisors (321330239964120).

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

144040020320040 is a wasteful number, since it uses less digits than its factorization.

144040020320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022771 (or 2022767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144040020320040 its reverse (40023020040441), we get a palindrome (184063040360481).

The spelling of 144040020320040 in words is "one hundred forty-four trillion, forty billion, twenty million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 46727 93454 140181 186908 233635 280362 373816 467270 560724 607451 700905 934540 1121448 1214902 1401810 1822353 1869080 1976017 2429804 2803620 3037255 3644706 3952034 4859608 5607240 5928051 6074510 7289412 7904068 9111765 9880085 11856102 12149020 14578824 15808136 18223530 19760170 23712204 24298040 25688221 29640255 36447060 39520340 47424408 51376442 59280510 72894120 77064663 79040680 102752884 118561020 128441105 154129326 205505768 237122040 256882210 308258652 385323315 513764420 616517304 770646630 1027528840 1541293260 3082586520 92333346359 184666692718 277000039077 369333385436 461666731795 554000078154 738666770872 923333463590 1108000156308 1200333502667 1385000195385 1846666927180 2216000312616 2400667005334 2770000390770 3601000508001 3693333854360 4801334010668 5540000781540 6001667513335 7202001016002 9602668021336 11080001563080 12003335026670 14404002032004 18005002540005 24006670053340 28808004064008 36010005080010 48013340106680 72020010160020 144040020320040