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20230424487040 = 27576141537501
BaseRepresentation
bin1001001100110010000110…
…10000111110010010000000
32122122000021001210021021111
410212121003100332102000
510122423402132041130
6111005421222333104
74155412530604165
oct446310320762200
978560231707244
1020230424487040
11649a7472426a9
12232896028a194
13b3994a901161
144dd22ccc406c
1525138e33302a
hex12664343e480

20230424487040 has 64 divisors (see below), whose sum is σ = 48426912081720. Its totient is φ = 8081536000000.

The previous prime is 20230424487019. The next prime is 20230424487047. The reversal of 20230424487040 is 4078442403202.

It can be written as a sum of positive squares in 4 ways, for example, as 10245683988544 + 9984740498496 = 3200888^2 + 3159864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20230424486984 and 20230424487002.

It is not an unprimeable number, because it can be changed into a prime (20230424487047) 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 7 ways as a sum of consecutive naturals, for example, 20281711 + ... + 21255790.

Almost surely, 220230424487040 is an apocalyptic number.

20230424487040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20230424487040 is an abundant number, since it is smaller than the sum of its proper divisors (28196487594680).

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

20230424487040 is an equidigital number, since it uses as much as digits as its factorization.

20230424487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41538281 (or 41538269 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 40.

The spelling of 20230424487040 in words is "twenty trillion, two hundred thirty billion, four hundred twenty-four million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 761 1522 3044 3805 6088 7610 12176 15220 24352 30440 48704 60880 97408 121760 243520 487040 41537501 83075002 166150004 207687505 332300008 415375010 664600016 830750020 1329200032 1661500040 2658400064 3323000080 5316800128 6646000160 13292000320 26584000640 31610038261 63220076522 126440153044 158050191305 252880306088 316100382610 505760612176 632200765220 1011521224352 1264401530440 2023042448704 2528803060880 4046084897408 5057606121760 10115212243520 20230424487040