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141331400 = 23527157643
BaseRepresentation
bin10000110110010…
…00101111001000
3100211221101020022
420123020233020
5242140101100
622005120012
73334203620
oct1033105710
9324841208
10141331400
1172861411
123b3b9008
1323385362
1414aad880
15c61ae85
hex86c8bc8

141331400 has 96 divisors (see below), whose sum is σ = 378517440. Its totient is φ = 48072960.

The previous prime is 141331369. The next prime is 141331409. The reversal of 141331400 is 4133141.

141331400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141331409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219479 + ... + 220121.

It is an arithmetic number, because the mean of its divisors is an integer number (3942890).

Almost surely, 2141331400 is an apocalyptic number.

141331400 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 141331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189258720).

141331400 is an abundant number, since it is smaller than the sum of its proper divisors (237186040).

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

141331400 is a wasteful number, since it uses less digits than its factorization.

141331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 141331400 is about 11888.2883545109. The cubic root of 141331400 is about 520.8902403243.

Adding to 141331400 its reverse (4133141), we get a palindrome (145464541).

The spelling of 141331400 in words is "one hundred forty-one million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 157 175 200 280 314 350 628 643 700 785 1099 1256 1286 1400 1570 2198 2572 3140 3215 3925 4396 4501 5144 5495 6280 6430 7850 8792 9002 10990 12860 15700 16075 18004 21980 22505 25720 27475 31400 32150 36008 43960 45010 54950 64300 90020 100951 109900 112525 128600 180040 201902 219800 225050 403804 450100 504755 706657 807608 900200 1009510 1413314 2019020 2523775 2826628 3533285 4038040 5047550 5653256 7066570 10095100 14133140 17666425 20190200 28266280 35332850 70665700 141331400