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141430240 = 2557197641
BaseRepresentation
bin10000110111000…
…00110111100000
3100212010101211001
420123200313200
5242201231430
622011201344
73335065030
oct1033406740
9325111731
10141430240
11729196a6
123b446254
13233bb343
1414ad78c0
15c63a3ca
hex86e0de0

141430240 has 96 divisors (see below), whose sum is σ = 384398784. Its totient is φ = 48168960.

The previous prime is 141430213. The next prime is 141430241. The reversal of 141430240 is 42034141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141430241) 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, 220320 + ... + 220960.

It is an arithmetic number, because the mean of its divisors is an integer number (4004154).

Almost surely, 2141430240 is an apocalyptic number.

141430240 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 141430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192199392).

141430240 is an abundant number, since it is smaller than the sum of its proper divisors (242968544).

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

141430240 is a wasteful number, since it uses less digits than its factorization.

141430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 141430240 is about 11892.4446603716. Note that the first 3 decimals coincide. The cubic root of 141430240 is about 521.0116400841.

Adding to 141430240 its reverse (42034141), we get a palindrome (183464381).

The spelling of 141430240 in words is "one hundred forty-one million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 197 224 280 394 560 641 788 985 1120 1282 1379 1576 1970 2564 2758 3152 3205 3940 4487 5128 5516 6304 6410 6895 7880 8974 10256 11032 12820 13790 15760 17948 20512 22064 22435 25640 27580 31520 35896 44128 44870 51280 55160 71792 89740 102560 110320 126277 143584 179480 220640 252554 358960 505108 631385 717920 883939 1010216 1262770 1767878 2020432 2525540 3535756 4040864 4419695 5051080 7071512 8839390 10102160 14143024 17678780 20204320 28286048 35357560 70715120 141430240