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42020244202024 = 2311525253909091
BaseRepresentation
bin10011000110111100110011…
…01110101010001000101000
312111210002121001210212201201
421203132121232222020220
521001424430003431044
6225211500024453544
711564601552321664
oct1143363156521050
9174702531725651
1042020244202024
111243075a428530
12486797a91a2b4
131a5a651c990aa
14a53b0d85b8a4
154cd09a1017d4
hex263799baa228

42020244202024 has 32 divisors (see below), whose sum is σ = 85950757686240. Its totient is φ = 19100053627200.

The previous prime is 42020244202021. The next prime is 42020244202093.

42020244202024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42020244201983 and 42020244202001.

It is not an unprimeable number, because it can be changed into a prime (42020244202021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45767719 + ... + 46676809.

It is an arithmetic number, because the mean of its divisors is an integer number (2685961177695).

Almost surely, 242020244202024 is an apocalyptic number.

42020244202024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42020244202024 is an abundant number, since it is smaller than the sum of its proper divisors (43930513484216).

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

42020244202024 is a wasteful number, since it uses less digits than its factorization.

42020244202024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434361 (or 1434357 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 4202024 and 4202024, that added together give a palindrome (8404048).

The spelling of 42020244202024 in words is "forty-two trillion, twenty billion, two hundred forty-four million, two hundred two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 525253 909091 1050506 1818182 2101012 3636364 4202024 5777783 7272728 10000001 11555566 20000002 23111132 40000004 46222264 80000008 477502775023 955005550046 1910011100092 3820022200184 5252530525253 10505061050506 21010122101012 42020244202024