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142431300 = 2232521114387
BaseRepresentation
bin10000111110101…
…01010001000100
3100221000021000100
420133111101010
5242430300200
622044444100
73346434414
oct1037252104
9327007010
10142431300
1173442820
123b849630
132367bb9b
1414cb8644
15c786d00
hex87d5444

142431300 has 108 divisors (see below), whose sum is σ = 487062576. Its totient is φ = 34526400.

The previous prime is 142431271. The next prime is 142431307. The reversal of 142431300 is 3134241.

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

It is not an unprimeable number, because it can be changed into a prime (142431307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2707 + ... + 17093.

Almost surely, 2142431300 is an apocalyptic number.

142431300 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 142431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243531288).

142431300 is an abundant number, since it is smaller than the sum of its proper divisors (344631276).

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

142431300 is a wasteful number, since it uses less digits than its factorization.

142431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14418 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142431300 is about 11934.4585130621. The cubic root of 142431300 is about 522.2380118627.

Adding to 142431300 its reverse (3134241), we get a palindrome (145565541).

The spelling of 142431300 in words is "one hundred forty-two million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 14387 28774 43161 57548 71935 86322 129483 143870 158257 172644 215805 258966 287740 316514 359675 431610 474771 517932 633028 647415 719350 791285 863220 949542 1079025 1294830 1424313 1438700 1582570 1899084 2158050 2373855 2589660 2848626 3165140 3237075 3956425 4316100 4747710 5697252 6474150 7121565 7912850 9495420 11869275 12948300 14243130 15825700 23738550 28486260 35607825 47477100 71215650 142431300