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142142440 = 235111731613
BaseRepresentation
bin10000111100011…
…10101111101000
3100220110120202211
420132032233220
5242342024230
622034334504
73344122306
oct1036165750
9326416684
10142142440
11732657a0
123b72a434
13235aa56b
1414c41276
15c72b42a
hex878ebe8

142142440 has 128 divisors (see below), whose sum is σ = 381957120. Its totient is φ = 47001600.

The previous prime is 142142381. The next prime is 142142479. The reversal of 142142440 is 44241241.

142142440 is digitally balanced in base 3, 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 (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231574 + ... + 232186.

It is an arithmetic number, because the mean of its divisors is an integer number (2984040).

Almost surely, 2142142440 is an apocalyptic number.

142142440 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 142142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190978560).

142142440 is an abundant number, since it is smaller than the sum of its proper divisors (239814680).

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

142142440 is a wasteful number, since it uses less digits than its factorization.

142142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 142142440 is about 11922.3504394058. The cubic root of 142142440 is about 521.8847286365.

Adding to 142142440 its reverse (44241241), we get a palindrome (186383681).

The spelling of 142142440 in words is "one hundred forty-two million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 31 34 40 44 55 62 68 85 88 110 124 136 155 170 187 220 248 310 340 341 374 440 527 613 620 680 682 748 935 1054 1226 1240 1364 1496 1705 1870 2108 2452 2635 2728 3065 3410 3740 4216 4904 5270 5797 6130 6743 6820 7480 10421 10540 11594 12260 13486 13640 19003 20842 21080 23188 24520 26972 28985 33715 38006 41684 46376 52105 53944 57970 67430 76012 83368 95015 104210 114631 115940 134860 152024 190030 208420 209033 229262 231880 269720 323051 380060 416840 418066 458524 573155 646102 760120 836132 917048 1045165 1146310 1292204 1615255 1672264 2090330 2292620 2584408 3230510 3553561 4180660 4585240 6461020 7107122 8361320 12922040 14214244 17767805 28428488 35535610 71071220 142142440