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141201440 = 2557911171
BaseRepresentation
bin10000110101010…
…01000000100000
3100211200202221222
420122221000200
5242121421230
622002234212
73333123002
oct1032510040
9324622858
10141201440
1172782806
123b355968
132333b163
1414a78372
15c5e26e5
hex86a9020

141201440 has 48 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 55760640.

The previous prime is 141201427. The next prime is 141201443. The reversal of 141201440 is 44102141.

It is not an unprimeable number, because it can be changed into a prime (141201443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7055 + ... + 18225.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2141201440 is an apocalyptic number.

141201440 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 141201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

141201440 is an abundant number, since it is smaller than the sum of its proper divisors (196639840).

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

141201440 is a wasteful number, since it uses less digits than its factorization.

141201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11265 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 141201440 is about 11882.8212138364. The cubic root of 141201440 is about 520.7305314045.

Adding to 141201440 its reverse (44102141), we get a palindrome (185303581).

The spelling of 141201440 in words is "one hundred forty-one million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 11171 12640 22342 44684 55855 89368 111710 178736 223420 357472 446840 882509 893680 1765018 1787360 3530036 4412545 7060072 8825090 14120144 17650180 28240288 35300360 70600720 141201440