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141352440 = 23354432659
BaseRepresentation
bin10000110110011…
…01110111111000
3100211222110002120
420123031313320
5242141234230
622005401240
73334322145
oct1033156770
9324873076
10141352440
11728761a9
123b409220
1323391ac8
1414ab73cc
15c622310
hex86cddf8

141352440 has 64 divisors (see below), whose sum is σ = 425174400. Its totient is φ = 37594752.

The previous prime is 141352439. The next prime is 141352441. The reversal of 141352440 is 44253141.

141352440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141352439) and next prime (141352441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141352440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141352441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51831 + ... + 54489.

It is an arithmetic number, because the mean of its divisors is an integer number (6643350).

Almost surely, 2141352440 is an apocalyptic number.

141352440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141352440 is an abundant number, since it is smaller than the sum of its proper divisors (283821960).

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

141352440 is a wasteful number, since it uses less digits than its factorization.

141352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 141352440 is about 11889.1732260910. The cubic root of 141352440 is about 520.9160873449.

The spelling of 141352440 in words is "one hundred forty-one million, three hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 443 886 1329 1772 2215 2658 2659 3544 4430 5316 5318 6645 7977 8860 10632 10636 13290 13295 15954 17720 21272 26580 26590 31908 39885 53160 53180 63816 79770 106360 159540 319080 1177937 2355874 3533811 4711748 5889685 7067622 9423496 11779370 14135244 17669055 23558740 28270488 35338110 47117480 70676220 141352440