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142462976040 = 233357115332323
BaseRepresentation
bin1000010010101101110…
…1001000000000101000
3111121201111020000201000
42010223131020000220
54313231010213130
6145240243555000
713202236213320
oct2045335100050
9447644200630
10142462976040
11554666aa530
122373a68ba60
1310584c2a378
146c767a2280
153a8c087260
hex212b748028

142462976040 has 512 divisors, whose sum is σ = 603243417600. Its totient is φ = 29043256320.

The previous prime is 142462976009. The next prime is 142462976107. The reversal of 142462976040 is 40679264241.

142462976040 is a `hidden beast` number, since 1 + 4 + 2 + 462 + 97 + 60 + 40 = 666.

It is a super-2 number, since 2×1424629760402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4391319 + ... + 4423641.

It is an arithmetic number, because the mean of its divisors is an integer number (1178209800).

Almost surely, 2142462976040 is an apocalyptic number.

142462976040 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 142462976040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301621708800).

142462976040 is an abundant number, since it is smaller than the sum of its proper divisors (460780441560).

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

142462976040 is a wasteful number, since it uses less digits than its factorization.

142462976040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32414 (or 32404 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 142462976040 in words is "one hundred forty-two billion, four hundred sixty-two million, nine hundred seventy-six thousand, forty".