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141166938720 = 25351919181041
BaseRepresentation
bin1000001101111000110…
…1001000101001100000
3111111101011111111201210
42003132031020221200
54303102214014340
6144503505230120
713125151116003
oct2033615105140
9444334444653
10141166938720
1154961069505
1223438632340
131040957bc92
146b925d353a
153a133cb180
hex20de348a60

141166938720 has 192 divisors, whose sum is σ = 470536335360. Its totient is φ = 35476070400.

The previous prime is 141166938719. The next prime is 141166938721. The reversal of 141166938720 is 27839661141.

It is an interprime number because it is at equal distance from previous prime (141166938719) and next prime (141166938721).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 141166938720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141166938721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701400 + ... + 1782440.

It is an arithmetic number, because the mean of its divisors is an integer number (2450710080).

Almost surely, 2141166938720 is an apocalyptic number.

141166938720 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 141166938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235268167680).

141166938720 is an abundant number, since it is smaller than the sum of its proper divisors (329369396640).

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

141166938720 is a wasteful number, since it uses less digits than its factorization.

141166938720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81269 (or 81261 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 141166938720 in words is "one hundred forty-one billion, one hundred sixty-six million, nine hundred thirty-eight thousand, seven hundred twenty".