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142042254140 = 225234716739341
BaseRepresentation
bin1000010001001001100…
…0001100101100111100
3111120122011120010202102
42010102120030230330
54311400304113030
6145130414244232
713155640145003
oct2042230145474
9446564503672
10142042254140
1155270170986
12236417b6678
1310518a11bb7
146c36965c3a
153a6517dc45
hex211260cb3c

142042254140 has 96 divisors (see below), whose sum is σ = 319791919104. Its totient is φ = 52870442240.

The previous prime is 142042254113. The next prime is 142042254149. The reversal of 142042254140 is 41452240241.

It is a happy number.

It is a super-2 number, since 2×1420422541402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142042254149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3590870 + ... + 3630210.

It is an arithmetic number, because the mean of its divisors is an integer number (3331165824).

Almost surely, 2142042254140 is an apocalyptic number.

142042254140 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 142042254140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159895959552).

142042254140 is an abundant number, since it is smaller than the sum of its proper divisors (177749664964).

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

142042254140 is a wasteful number, since it uses less digits than its factorization.

142042254140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39587 (or 39585 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 142042254140 its reverse (41452240241), we get a palindrome (183494494381).

The spelling of 142042254140 in words is "one hundred forty-two billion, forty-two million, two hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 167 188 230 235 334 460 470 668 835 940 1081 1670 2162 3340 3841 4324 5405 7682 7849 10810 15364 15698 19205 21620 31396 38410 39245 39341 76820 78490 78682 156980 157364 180527 196705 361054 393410 722108 786820 902635 904843 1805270 1809686 1849027 3610540 3619372 3698054 4524215 6569947 7396108 9048430 9245135 13139894 18096860 18490270 26279788 32849735 36980540 42527621 65699470 85055242 131398940 151108781 170110484 212638105 302217562 308787509 425276210 604435124 617575018 755543905 850552420 1235150036 1511087810 1543937545 3022175620 3087875090 6175750180 7102112707 14204225414 28408450828 35510563535 71021127070 142042254140