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141021432 = 23332947479
BaseRepresentation
bin10000110011111…
…01000011111000
3100211100122001000
420121331003320
5242100141212
621554325000
73331443126
oct1031750370
9324318030
10141021432
117266a542
123b289760
13232a7246
1414a2c916
15c5a91dc
hex867d0f8

141021432 has 128 divisors (see below), whose sum is σ = 414720000. Its totient is φ = 44327808.

The previous prime is 141021431. The next prime is 141021451. The reversal of 141021432 is 234120141.

141021432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141021431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294169 + ... + 294647.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2141021432 is an apocalyptic number.

141021432 is a gapful number since it is divisible by the number (12) 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 141021432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360000).

141021432 is an abundant number, since it is smaller than the sum of its proper divisors (273698568).

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

141021432 is a wasteful number, since it uses less digits than its factorization.

141021432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141021432 is about 11875.2445027460. The cubic root of 141021432 is about 520.5091561312.

Adding to 141021432 its reverse (234120141), we get a palindrome (375141573).

The spelling of 141021432 in words is "one hundred forty-one million, twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 47 54 58 72 87 94 108 116 141 174 188 216 232 261 282 348 376 423 479 522 564 696 783 846 958 1044 1128 1269 1363 1437 1566 1692 1916 2088 2538 2726 2874 3132 3384 3832 4089 4311 5076 5452 5748 6264 8178 8622 10152 10904 11496 12267 12933 13891 16356 17244 22513 24534 25866 27782 32712 34488 36801 41673 45026 49068 51732 55564 67539 73602 83346 90052 98136 103464 111128 125019 135078 147204 166692 180104 202617 250038 270156 294408 333384 375057 405234 500076 540312 607851 652877 750114 810468 1000152 1215702 1305754 1500228 1620936 1958631 2431404 2611508 3000456 3917262 4862808 5223016 5875893 7834524 11751786 15669048 17627679 23503572 35255358 47007144 70510716 141021432