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141344120 = 23517212227
BaseRepresentation
bin10000110110010…
…11110101111000
3100211222000200102
420123023311320
5242141002440
622005254532
73334255661
oct1033136570
9324860612
10141344120
117286aa25
123b404448
132338b098
1414ab4368
15c61eb15
hex86cbd78

141344120 has 48 divisors (see below), whose sum is σ = 337859640. Its totient is φ = 53207552.

The previous prime is 141344101. The next prime is 141344123. The reversal of 141344120 is 21443141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141344092 and 141344101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141344123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5447 + ... + 17673.

Almost surely, 2141344120 is an apocalyptic number.

141344120 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 141344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168929820).

141344120 is an abundant number, since it is smaller than the sum of its proper divisors (196515520).

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

141344120 is a wasteful number, since it uses less digits than its factorization.

141344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 141344120 is about 11888.8233227683. The cubic root of 141344120 is about 520.9058667764.

Adding to 141344120 its reverse (21443141), we get a palindrome (162787261).

The spelling of 141344120 in words is "one hundred forty-one million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 12227 24454 48908 61135 97816 122270 207859 244540 415718 489080 831436 1039295 1662872 2078590 3533603 4157180 7067206 8314360 14134412 17668015 28268824 35336030 70672060 141344120