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20023031440 = 24519293114653
BaseRepresentation
bin10010101001011101…
…110011011010010000
31220200102212101110001
4102221131303122100
5312001344001230
613110511015344
71306121646646
oct225135633220
956612771401
1020023031440
11854552a975
123a6980a554
131b713acac9
14d7d39d196
157c2cba0ca
hex4a9773690

20023031440 has 160 divisors (see below), whose sum is σ = 52332364800. Its totient is φ = 7089223680.

The previous prime is 20023031419. The next prime is 20023031447. The reversal of 20023031440 is 4413032002.

It is a super-5 number, since 5×200230314405 (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (20023031447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359154 + ... + 1373806.

It is an arithmetic number, because the mean of its divisors is an integer number (327077280).

Almost surely, 220023031440 is an apocalyptic number.

20023031440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20023031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166182400).

20023031440 is an abundant number, since it is smaller than the sum of its proper divisors (32309333360).

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

20023031440 is a wasteful number, since it uses less digits than its factorization.

20023031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14745 (or 14739 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20023031440 its reverse (4413032002), we get a palindrome (24436063442).

The spelling of 20023031440 in words is "twenty billion, twenty-three million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 31 38 40 58 62 76 80 95 116 124 145 152 155 190 232 248 290 304 310 380 464 496 551 580 589 620 760 899 1102 1160 1178 1240 1520 1798 2204 2320 2356 2480 2755 2945 3596 4408 4495 4712 5510 5890 7192 8816 8990 9424 11020 11780 14384 14653 17081 17980 22040 23560 29306 34162 35960 44080 47120 58612 68324 71920 73265 85405 117224 136648 146530 170810 234448 273296 278407 293060 341620 424937 454243 556814 586120 683240 849874 908486 1113628 1172240 1366480 1392035 1699748 1816972 2124685 2227256 2271215 2784070 3399496 3633944 4249370 4454512 4542430 5568140 6798992 7267888 8073803 8498740 8630617 9084860 11136280 13173047 16147606 16997480 17261234 18169720 22272560 26346094 32295212 33994960 34522468 36339440 40369015 43153085 52692188 64590424 65865235 69044936 80738030 86306170 105384376 129180848 131730470 138089872 161476060 172612340 210768752 250287893 263460940 322952120 345224680 500575786 526921880 645904240 690449360 1001151572 1053843760 1251439465 2002303144 2502878930 4004606288 5005757860 10011515720 20023031440