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20144515440 = 2435721712969
BaseRepresentation
bin10010110000101101…
…001110100101110000
31220222220110102011110
4102300231032211300
5312223443443230
613130530513320
71312125361500
oct226055164560
956886412143
1020144515440
1185a8065675
123aa2435840
131b9060632a
14d91583a00
157cd7b54b0
hex4b0b4e970

20144515440 has 120 divisors (see below), whose sum is σ = 72643631760. Its totient is φ = 4604457984.

The previous prime is 20144515421. The next prime is 20144515453. The reversal of 20144515440 is 4451544102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20144515398 and 20144515407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844725 + ... + 868244.

It is an arithmetic number, because the mean of its divisors is an integer number (605363598).

Almost surely, 220144515440 is an apocalyptic number.

20144515440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144515440 is an abundant number, since it is smaller than the sum of its proper divisors (52499116320).

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

20144515440 is a wasteful number, since it uses less digits than its factorization.

20144515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712999 (or 1712986 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 20144515440 in words is "twenty billion, one hundred forty-four million, five hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 1712969 3425938 5138907 6851876 8564845 10277814 11990783 13703752 17129690 20555628 23981566 25694535 27407504 34259380 35972349 41111256 47963132 51389070 59953915 68518760 71944698 82222512 83935481 95926264 102778140 119907830 137037520 143889396 167870962 179861745 191852528 205556280 239815660 251806443 287778792 335741924 359723490 411112560 419677405 479631320 503612886 575557584 671483848 719446980 839354810 959262640 1007225772 1259032215 1342967696 1438893960 1678709620 2014451544 2518064430 2877787920 3357419240 4028903088 5036128860 6714838480 10072257720 20144515440