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142133712 = 243738997
BaseRepresentation
bin10000111100011…
…00100111010000
3100220110010210120
420132030213100
5242341234322
622034230240
73344055000
oct1036144720
9326403716
10142133712
117325a186
123b725380
13235a65b6
1414c3c000
15c728a5c
hex878c9d0

142133712 has 160 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 39739392.

The previous prime is 142133707. The next prime is 142133741. The reversal of 142133712 is 217331241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1465248 + ... + 1465344.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2142133712 is an apocalyptic number.

142133712 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 142133712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

142133712 is an abundant number, since it is smaller than the sum of its proper divisors (295338288).

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

142133712 is an equidigital number, since it uses as much as digits as its factorization.

142133712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 142133712 is about 11921.9843985806. The cubic root of 142133712 is about 521.8740466212.

Adding to 142133712 its reverse (217331241), we get a palindrome (359464953).

It can be divided in two parts, 142133 and 712, that added together give a triangular number (142845 = T534).

The spelling of 142133712 in words is "one hundred forty-two million, one hundred thirty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 89 97 98 112 147 168 178 194 196 267 291 294 336 343 356 388 392 534 582 588 623 679 686 712 776 784 1029 1068 1164 1176 1246 1358 1372 1424 1552 1869 2037 2058 2136 2328 2352 2492 2716 2744 3738 4074 4116 4272 4361 4656 4753 4984 5432 5488 7476 8148 8232 8633 8722 9506 9968 10864 13083 14259 14952 16296 16464 17266 17444 19012 25899 26166 28518 29904 30527 32592 33271 34532 34888 38024 51798 52332 57036 60431 61054 66542 69064 69776 76048 91581 99813 103596 104664 114072 120862 122108 133084 138128 181293 183162 199626 207192 209328 228144 241724 244216 266168 362586 366324 399252 414384 423017 483448 488432 532336 725172 732648 798504 846034 966896 1269051 1450344 1465296 1597008 1692068 2538102 2900688 2961119 3384136 5076204 5922238 6768272 8883357 10152408 11844476 17766714 20304816 23688952 35533428 47377904 71066856 142133712