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20220231144040 = 23589317172310399
BaseRepresentation
bin1001001100011111000111…
…01100011101001001101000
32122121000221200012210102021
410212033203230131021220
510122242013133102130
6111001013531514224
74154602114612054
oct446174354351150
978530850183367
1020220231144040
116496396382194
1223269965b8974
13b389b4b4a755
144dc9431d2c64
15250e944d337a
hex1263e3b1d268

20220231144040 has 128 divisors (see below), whose sum is σ = 46183063680000. Its totient is φ = 7966594234368.

The previous prime is 20220231144031. The next prime is 20220231144053. The reversal of 20220231144040 is 4044113202202.

It is a junction number, because it is equal to n+sod(n) for n = 20220231143996 and 20220231144014.

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, 1944434761 + ... + 1944445159.

It is an arithmetic number, because the mean of its divisors is an integer number (360805185000).

Almost surely, 220220231144040 is an apocalyptic number.

20220231144040 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 20220231144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23091531840000).

20220231144040 is an abundant number, since it is smaller than the sum of its proper divisors (25962832535960).

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

20220231144040 is a wasteful number, since it uses less digits than its factorization.

20220231144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20220231144040 its reverse (4044113202202), we get a palindrome (24264344346242).

The spelling of 20220231144040 in words is "twenty trillion, two hundred twenty billion, two hundred thirty-one million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 317 356 445 634 712 890 1268 1585 1723 1780 2536 3170 3446 3560 6340 6892 8615 10399 12680 13784 17230 20798 28213 34460 41596 51995 56426 68920 83192 103990 112852 141065 153347 207980 225704 282130 306694 415960 546191 564260 613388 766735 925511 1092382 1128520 1226776 1533470 1851022 2184764 2730955 3066940 3296483 3702044 4369528 4627555 5461910 6133880 6592966 7404088 9255110 10923820 13185932 16482415 17917477 18510220 21847640 26371864 32964830 35834954 37020440 48610999 65929660 71669908 89587385 97221998 131859320 143339816 179174770 194443996 243054995 293386987 358349540 388887992 486109990 586773974 716699080 972219980 1173547948 1466934935 1594655453 1944439960 2347095896 2933869870 3189310906 5679840209 5867739740 6378621812 7973277265 11359680418 11735479480 12757243624 15946554530 22719360836 28399201045 31893109060 45438721672 56798402090 63786218120 113596804180 227193608360 505505778601 1011011557202 2022023114404 2527528893005 4044046228808 5055057786010 10110115572020 20220231144040