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142038432 = 25322341523
BaseRepresentation
bin10000111011101…
…01010110100000
3100220021022002200
420131311112200
5242330212212
622032213200
73343210134
oct1035652640
9326238080
10142038432
11731a4638
123b69a200
1323572113
1414c153c4
15c70a6dc
hex87755a0

142038432 has 144 divisors (see below), whose sum is σ = 432589248. Its totient is φ = 44098560.

The previous prime is 142038419. The next prime is 142038467. The reversal of 142038432 is 234830241.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 142038396 and 142038405.

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, 271323 + ... + 271845.

It is an arithmetic number, because the mean of its divisors is an integer number (3004092).

Almost surely, 2142038432 is an apocalyptic number.

142038432 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 142038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216294624).

142038432 is an abundant number, since it is smaller than the sum of its proper divisors (290550816).

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

142038432 is a wasteful number, since it uses less digits than its factorization.

142038432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142038432 is about 11917.9877496161. The cubic root of 142038432 is about 521.7574069830.

Adding to 142038432 its reverse (234830241), we get a palindrome (376868673).

The spelling of 142038432 in words is "one hundred forty-two million, thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 41 46 48 69 72 82 92 96 123 138 144 164 184 207 246 276 288 328 368 369 414 492 523 552 656 736 738 828 943 984 1046 1104 1312 1476 1569 1656 1886 1968 2092 2208 2829 2952 3138 3312 3772 3936 4184 4707 5658 5904 6276 6624 7544 8368 8487 9414 11316 11808 12029 12552 15088 16736 16974 18828 21443 22632 24058 25104 30176 33948 36087 37656 42886 45264 48116 50208 64329 67896 72174 75312 85772 90528 96232 108261 128658 135792 144348 150624 171544 192464 192987 216522 257316 271584 288696 343088 384928 385974 433044 493189 514632 577392 686176 771948 866088 986378 1029264 1154784 1479567 1543896 1732176 1972756 2058528 2959134 3087792 3464352 3945512 4438701 5918268 6175584 7891024 8877402 11836536 15782048 17754804 23673072 35509608 47346144 71019216 142038432