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142142040 = 23345192309
BaseRepresentation
bin10000111100011…
…10101001011000
3100220110120020000
420132032221120
5242342021130
622034333000
73344121165
oct1036165130
9326416200
10142142040
1173265467
123b72a160
13235aa321
1414c4106c
15c72b260
hex878ea58

142142040 has 160 divisors (see below), whose sum is σ = 503118000. Its totient is φ = 35894016.

The previous prime is 142142029. The next prime is 142142089. The reversal of 142142040 is 40241241.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 60406 + ... + 62714.

Almost surely, 2142142040 is an apocalyptic number.

142142040 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 142142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251559000).

142142040 is an abundant number, since it is smaller than the sum of its proper divisors (360975960).

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

142142040 is a wasteful number, since it uses less digits than its factorization.

142142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 142142040 is about 11922.3336641783. Note that the first 3 decimals coincide. The cubic root of 142142040 is about 521.8842390944.

Adding to 142142040 its reverse (40241241), we get a palindrome (182383281).

The spelling of 142142040 in words is "one hundred forty-two million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2309 2565 3078 3240 3420 4104 4618 5130 6156 6840 6927 7695 9236 10260 11545 12312 13854 15390 18472 20520 20781 23090 27708 30780 34635 41562 43871 46180 55416 61560 62343 69270 83124 87742 92360 103905 124686 131613 138540 166248 175484 187029 207810 219355 249372 263226 277080 311715 350968 374058 394839 415620 438710 498744 526452 623430 658065 748116 789678 831240 877420 935145 1052904 1184517 1246860 1316130 1496232 1579356 1754840 1870290 1974195 2369034 2493720 2632260 3158712 3553551 3740580 3948390 4738068 5264520 5922585 7107102 7481160 7896780 9476136 11845170 14214204 15793560 17767755 23690340 28428408 35535510 47380680 71071020 142142040