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142312128 = 2637195573
BaseRepresentation
bin10000111101110…
…00001011000000
3100220210012112120
420132320023000
5242412442003
622042124240
73345430110
oct1036701300
9326705476
10142312128
1173371232
123b7b0680
132363987a
1414c87040
15c761853
hex87b82c0

142312128 has 112 divisors (see below), whose sum is σ = 453054720. Its totient is φ = 38513664.

The previous prime is 142312123. The next prime is 142312129. The reversal of 142312128 is 821213241.

142312128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 junction number, because it is equal to n+sod(n) for n = 142312098 and 142312107.

It is not an unprimeable number, because it can be changed into a prime (142312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22750 + ... + 28322.

Almost surely, 2142312128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226527360).

142312128 is an abundant number, since it is smaller than the sum of its proper divisors (310742592).

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

142312128 is a wasteful number, since it uses less digits than its factorization.

142312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5604 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 142312128 is about 11929.4646988035. The cubic root of 142312128 is about 522.0923193685.

Adding to 142312128 its reverse (821213241), we get a palindrome (963525369).

The spelling of 142312128 in words is "one hundred forty-two million, three hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 5573 6384 8512 11146 12768 16719 22292 25536 33438 39011 44584 66876 78022 89168 105887 117033 133752 156044 178336 211774 234066 267504 312088 317661 356672 423548 468132 535008 624176 635322 741209 847096 936264 1070016 1248352 1270644 1482418 1694192 1872528 2223627 2496704 2541288 2964836 3388384 3745056 4447254 5082576 5929672 6776768 7490112 8894508 10165152 11859344 17789016 20330304 23718688 35578032 47437376 71156064 142312128