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42021420320 = 2551123875807
BaseRepresentation
bin100111001000101010…
…111111110100100000
311000110112201022212202
4213020222333310200
51142024440422240
631145424512332
73015221115335
oct471052776440
9130415638782
1042021420320
1116903aa6050
128188a7b6a8
133c68ab9669
142068c4098c
15115e1cb315
hex9c8abfd20

42021420320 has 48 divisors (see below), whose sum is σ = 108300665088. Its totient is φ = 15280515840.

The previous prime is 42021420313. The next prime is 42021420377. The reversal of 42021420320 is 2302412024.

42021420320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42021420292 and 42021420301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11936144 + ... + 11939663.

It is an arithmetic number, because the mean of its divisors is an integer number (2256263856).

Almost surely, 242021420320 is an apocalyptic number.

42021420320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42021420320 is an abundant number, since it is smaller than the sum of its proper divisors (66279244768).

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

42021420320 is a wasteful number, since it uses less digits than its factorization.

42021420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23875833 (or 23875825 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42021420320 its reverse (2302412024), we get a palindrome (44323832344).

The spelling of 42021420320 in words is "forty-two billion, twenty-one million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 23875807 47751614 95503228 119379035 191006456 238758070 262633877 382012912 477516140 525267754 764025824 955032280 1050535508 1313169385 1910064560 2101071016 2626338770 3820129120 4202142032 5252677540 8404284064 10505355080 21010710160 42021420320