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20202422020040 = 2351349737812349
BaseRepresentation
bin1001001011111101111100…
…01100000010011111001000
32122112022222112012120001002
410211332332030002133020
510121444030014120130
6110544510424314132
74153401564553541
oct445767614023710
978468875176032
1020202422020040
116489887610797
122323446312948
13b3710732b560
144dbb33c914c8
152507a0c80b45
hex125fbe3027c8

20202422020040 has 64 divisors (see below), whose sum is σ = 48961872414000. Its totient is φ = 7457854897152.

The previous prime is 20202422020031. The next prime is 20202422020057. The reversal of 20202422020040 is 4002022420202.

It can be written as a sum of positive squares in 8 ways, for example, as 13949791743364 + 6252630276676 = 3734942^2 + 2500526^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20202422019994 and 20202422020021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320215 + ... + 6492134.

Almost surely, 220202422020040 is an apocalyptic number.

20202422020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202422020040 is an abundant number, since it is smaller than the sum of its proper divisors (28759450393960).

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

20202422020040 is a wasteful number, since it uses less digits than its factorization.

20202422020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817346 (or 7817342 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20202422020040 its reverse (4002022420202), we get a palindrome (24204444440242).

The spelling of 20202422020040 in words is "twenty trillion, two hundred two billion, four hundred twenty-two million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4973 9946 19892 24865 39784 49730 64649 99460 129298 198920 258596 323245 517192 646490 1292980 2585960 7812349 15624698 31249396 39061745 62498792 78123490 101560537 156246980 203121074 312493960 406242148 507802685 812484296 1015605370 2031210740 4062421480 38850811577 77701623154 155403246308 194254057885 310806492616 388508115770 505060550501 777016231540 1010121101002 1554032463080 2020242202004 2525302752505 4040484404008 5050605505010 10101211010020 20202422020040