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142144143240 = 233511569189253
BaseRepresentation
bin1000010001100001110…
…0110111111110001000
3111120220021021122022210
42010120130313332020
54312102400040430
6145144454145120
713161315165531
oct2043034677610
9446807248283
10142144143240
1155312732750
122366b9521a0
1310533b674c8
146c462c9688
153a6e0a82b0
hex2118737f88

142144143240 has 128 divisors (see below), whose sum is σ = 466019049600. Its totient is φ = 34398443520.

The previous prime is 142144143227. The next prime is 142144143257. The reversal of 142144143240 is 42341441241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142144143198 and 142144143207.

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, 656454 + ... + 845706.

It is an arithmetic number, because the mean of its divisors is an integer number (3640773825).

Almost surely, 2142144143240 is an apocalyptic number.

142144143240 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 142144143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233009524800).

142144143240 is an abundant number, since it is smaller than the sum of its proper divisors (323874906360).

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

142144143240 is a wasteful number, since it uses less digits than its factorization.

142144143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189847 (or 189843 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 142144143240 its reverse (42341441241), we get a palindrome (184485584481).

The spelling of 142144143240 in words is "one hundred forty-two billion, one hundred forty-four million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 569 660 1138 1320 1707 2276 2845 3414 4552 5690 6259 6828 8535 11380 12518 13656 17070 18777 22760 25036 31295 34140 37554 50072 62590 68280 75108 93885 125180 150216 187770 189253 250360 375540 378506 567759 751080 757012 946265 1135518 1514024 1892530 2081783 2271036 2838795 3785060 4163566 4542072 5677590 6245349 7570120 8327132 10408915 11355180 12490698 16654264 20817830 22710360 24981396 31226745 41635660 49962792 62453490 83271320 107684957 124906980 215369914 249813960 323054871 430739828 538424785 646109742 861479656 1076849570 1184534527 1292219484 1615274355 2153699140 2369069054 2584438968 3230548710 3553603581 4307398280 4738138108 5922672635 6461097420 7107207162 9476276216 11845345270 12922194840 14214414324 17768017905 23690690540 28428828648 35536035810 47381381080 71072071620 142144143240