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141343400 = 235211411567
BaseRepresentation
bin10000110110010…
…11101010101000
3100211221222200202
420123023222220
5242140442100
622005251332
73334253612
oct1033135250
9324858622
10141343400
117286a430
123b403b48
132338a963
1414ab3db2
15c61e7d5
hex86cbaa8

141343400 has 96 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 50112000.

The previous prime is 141343393. The next prime is 141343427. The reversal of 141343400 is 4343141.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89417 + ... + 90983.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2141343400 is an apocalyptic number.

141343400 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 141343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

141343400 is an abundant number, since it is smaller than the sum of its proper divisors (226133080).

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

141343400 is a wasteful number, since it uses less digits than its factorization.

141343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 141343400 is about 11888.7930421889. The cubic root of 141343400 is about 520.9049822853.

Adding to 141343400 its reverse (4343141), we get a palindrome (145686541).

The spelling of 141343400 in words is "one hundred forty-one million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 164 200 205 220 275 328 410 440 451 550 820 902 1025 1100 1567 1640 1804 2050 2200 2255 3134 3608 4100 4510 6268 7835 8200 9020 11275 12536 15670 17237 18040 22550 31340 34474 39175 45100 62680 64247 68948 78350 86185 90200 128494 137896 156700 172370 256988 313400 321235 344740 430925 513976 642470 689480 706717 861850 1284940 1413434 1606175 1723700 2569880 2826868 3212350 3447400 3533585 5653736 6424700 7067170 12849400 14134340 17667925 28268680 35335850 70671700 141343400