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142040776878 = 23571131319127
BaseRepresentation
bin1000010001001001001…
…0100100000010101110
3111120122001210002100000
42010102102210002232
54311344414330003
6145130322445130
713155621453060
oct2042222440256
9446561702300
10142040776878
115526a352000
12236412037a6
1310518615690
146c3669d730
153a64e8b1a3
hex21124a40ae

142040776878 has 768 divisors, whose sum is σ = 458375823360. Its totient is φ = 32009281920.

The previous prime is 142040776877. The next prime is 142040776901. The reversal of 142040776878 is 878677040241.

It is a super-2 number, since 2×1420407768782 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142040776877) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1118431251 + ... + 1118431377.

It is an arithmetic number, because the mean of its divisors is an integer number (596843520).

Almost surely, 2142040776878 is an apocalyptic number.

142040776878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142040776878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229187911680).

142040776878 is an abundant number, since it is smaller than the sum of its proper divisors (316335046482).

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

142040776878 is a wasteful number, since it uses less digits than its factorization.

142040776878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 142040776878 in words is "one hundred forty-two billion, forty million, seven hundred seventy-six thousand, eight hundred seventy-eight".