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142418552640 = 26357131725641
BaseRepresentation
bin1000010010100011001…
…1101010011101000000
3111121121101122002020220
42010220303222131000
54313133122141030
6145232015503040
713201156503120
oct2045063523500
9447541562226
10142418552640
1155443618581
1223727827a80
1310578975330
146c7091ac80
153a8820ea10
hex2128cea740

142418552640 has 672 divisors, whose sum is σ = 591295321344. Its totient is φ = 28276162560.

The previous prime is 142418552611. The next prime is 142418552663. The reversal of 142418552640 is 46255814241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 142418552592 and 142418552601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25244220 + ... + 25249860.

It is an arithmetic number, because the mean of its divisors is an integer number (879903752).

Almost surely, 2142418552640 is an apocalyptic number.

142418552640 is a gapful number since it is divisible by the number (10) 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 142418552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295647660672).

142418552640 is an abundant number, since it is smaller than the sum of its proper divisors (448876768704).

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

142418552640 is a wasteful number, since it uses less digits than its factorization.

142418552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 142418552640 in words is "one hundred forty-two billion, four hundred eighteen million, five hundred fifty-two thousand, six hundred forty".