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142134422240 = 2554373283001
BaseRepresentation
bin1000010001011111011…
…1110010101011100000
3111120212120222202121202
42010113313302223200
54312042403002430
6145143505540332
713161136440446
oct2042767625340
9446776882552
10142134422240
11553081a3168
12236686446a8
1310531b42935
146c44cb8b96
153a6d2d7d45
hex2117df2ae0

142134422240 has 96 divisors (see below), whose sum is σ = 348309805536. Its totient is φ = 54770688000.

The previous prime is 142134422189. The next prime is 142134422263. The reversal of 142134422240 is 42224431241.

It is a happy number.

142134422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360740 + ... + 643740.

It is an arithmetic number, because the mean of its divisors is an integer number (3628227141).

Almost surely, 2142134422240 is an apocalyptic number.

142134422240 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 142134422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174154902768).

142134422240 is an abundant number, since it is smaller than the sum of its proper divisors (206175383296).

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

142134422240 is a wasteful number, since it uses less digits than its factorization.

142134422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283132 (or 283124 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 142134422240 its reverse (42224431241), we get a palindrome (184358853481).

Subtracting from 142134422240 its reverse (42224431241), we obtain a palindrome (99909990999).

The spelling of 142134422240 in words is "one hundred forty-two billion, one hundred thirty-four million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 73 80 86 146 160 172 215 292 344 365 430 584 688 730 860 1168 1376 1460 1720 2336 2920 3139 3440 5840 6278 6880 11680 12556 15695 25112 31390 50224 62780 100448 125560 251120 283001 502240 566002 1132004 1415005 2264008 2830010 4528016 5660020 9056032 11320040 12169043 20659073 22640080 24338086 41318146 45280160 48676172 60845215 82636292 97352344 103295365 121690430 165272584 194704688 206590730 243380860 330545168 389409376 413181460 486761720 661090336 826362920 888340139 973523440 1652725840 1776680278 1947046880 3305451680 3553360556 4441700695 7106721112 8883401390 14213442224 17766802780 28426884448 35533605560 71067211120 142134422240