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141722375004 = 22337893735647
BaseRepresentation
bin1000001111111101001…
…1111101001101011100
3111112210212122121002000
42003333103331031130
54310221412000004
6145034550202300
713145004211530
oct2037723751534
9445725577060
10141722375004
1155116649a61
1223572653390
13104976739c2
146c06299bc0
153a47044c39
hex20ff4fd35c

141722375004 has 192 divisors, whose sum is σ = 425850163200. Its totient is φ = 39922730496.

The previous prime is 141722374999. The next prime is 141722375029. The reversal of 141722375004 is 400573227141.

141722375004 is a `hidden beast` number, since 1 + 417 + 2 + 237 + 5 + 0 + 0 + 4 = 666.

It is a super-4 number, since 4×1417223750044 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 141722375004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25094109 + ... + 25099755.

It is an arithmetic number, because the mean of its divisors is an integer number (2217969600).

Almost surely, 2141722375004 is an apocalyptic number.

141722375004 is a gapful number since it is divisible by the number (14) 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 141722375004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212925081600).

141722375004 is an abundant number, since it is smaller than the sum of its proper divisors (284127788196).

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

141722375004 is a wasteful number, since it uses less digits than its factorization.

141722375004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 141722375004 in words is "one hundred forty-one billion, seven hundred twenty-two million, three hundred seventy-five thousand, four".