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141375430120 = 2355181768209
BaseRepresentation
bin1000001110101010100…
…0011101110111101000
3111111220200210222011111
42003222220131313220
54304014102230440
6144540314040104
713133262220441
oct2035250356750
9444820728144
10141375430120
1154a58821151
1223496419034
131044081a282
146bb21862c8
153a268614ea
hex20eaa1dde8

141375430120 has 32 divisors (see below), whose sum is σ = 318105520200. Its totient is φ = 56548251648.

The previous prime is 141375430087. The next prime is 141375430151. The reversal of 141375430120 is 21034573141.

141375430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103584847716 + 37790582404 = 321846^2 + 194398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2038576 + ... + 2106784.

Almost surely, 2141375430120 is an apocalyptic number.

141375430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141375430120 is an abundant number, since it is smaller than the sum of its proper divisors (176730090080).

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

141375430120 is a wasteful number, since it uses less digits than its factorization.

141375430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120037 (or 120033 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 141375430120 in words is "one hundred forty-one billion, three hundred seventy-five million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 51817 68209 103634 136418 207268 259085 272836 341045 414536 518170 545672 682090 1036340 1364180 2072680 2728360 3534385753 7068771506 14137543012 17671928765 28275086024 35343857530 70687715060 141375430120