Search a number
-
+
142041330 = 23352389257
BaseRepresentation
bin10000111011101…
…10000011110010
3100220021110002000
420131312003302
5242330310310
622032234430
73343221444
oct1035660362
9326243060
10142041330
11731a6832
123b69ba16
1323573532
1414c16494
15c70b4c0
hex87760f2

142041330 has 128 divisors (see below), whose sum is σ = 401241600. Its totient is φ = 35684352.

The previous prime is 142041329. The next prime is 142041331. The reversal of 142041330 is 33140241.

142041330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142041329) and next prime (142041331).

It is a super-5 number, since 5×1420413305 (a number of 42 digits) contains 55555 as substring.

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 (142041331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552562 + ... + 552818.

It is an arithmetic number, because the mean of its divisors is an integer number (3134700).

Almost surely, 2142041330 is an apocalyptic number.

142041330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200620800).

142041330 is an abundant number, since it is smaller than the sum of its proper divisors (259200270).

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

142041330 is a wasteful number, since it uses less digits than its factorization.

142041330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

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

The square root of 142041330 is about 11918.1093299231. The cubic root of 142041330 is about 521.7609554185.

Adding to 142041330 its reverse (33140241), we get a palindrome (175181571).

The spelling of 142041330 in words is "one hundred forty-two million, forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 89 90 115 135 138 178 207 230 257 267 270 345 414 445 514 534 621 690 771 801 890 1035 1242 1285 1335 1542 1602 2047 2070 2313 2403 2570 2670 3105 3855 4005 4094 4626 4806 5911 6141 6210 6939 7710 8010 10235 11565 11822 12015 12282 13878 17733 18423 20470 22873 23130 24030 29555 30705 34695 35466 36846 45746 53199 55269 59110 61410 68619 69390 88665 92115 106398 110538 114365 137238 159597 177330 184230 205857 228730 265995 276345 319194 343095 411714 526079 531990 552690 617571 686190 797985 1029285 1052158 1235142 1578237 1595970 2058570 2630395 3087855 3156474 4734711 5260790 6175710 7891185 9469422 14204133 15782370 23673555 28408266 47347110 71020665 142041330