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142143405344000 = 285329153171773
BaseRepresentation
bin100000010100011101010111…
…001011101100010100000000
3200122021202222022112200002022
4200110131113023230110000
5122112334143232002000
61222151440130141012
741640344044066064
oct4024352713542400
9618252868480068
10142143405344000
1141322752711555
1213b38416a21768
1361410b11b10b8
142715ac5767aa4
15116772214b585
hex8147572ec500

142143405344000 has 144 divisors (see below), whose sum is σ = 366307234085520. Its totient is φ = 54896763084800.

The previous prime is 142143405343991. The next prime is 142143405344023. The reversal of 142143405344000 is 443504341241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33610681590784 + 108532723753216 = 5797472^2 + 10417904^2 .

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, 75657887 + ... + 77513886.

It is an arithmetic number, because the mean of its divisors is an integer number (2543800236705).

Almost surely, 2142143405344000 is an apocalyptic number.

142143405344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142143405344000 is an abundant number, since it is smaller than the sum of its proper divisors (224163828741520).

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

142143405344000 is an equidigital number, since it uses as much as digits as its factorization.

142143405344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153171833 (or 153171809 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 142143405344000 its reverse (443504341241), we get a palindrome (142586909685241).

The spelling of 142143405344000 in words is "one hundred forty-two trillion, one hundred forty-three billion, four hundred five million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 400 464 500 580 640 725 800 928 1000 1160 1280 1450 1600 1856 2000 2320 2900 3200 3625 3712 4000 4640 5800 6400 7250 7424 8000 9280 11600 14500 16000 18560 23200 29000 32000 37120 46400 58000 92800 116000 185600 232000 464000 928000 153171773 306343546 612687092 765858865 1225374184 1531717730 2450748368 3063435460 3829294325 4441981417 4901496736 6126870920 7658588650 8883962834 9802993472 12253741840 15317177300 17767925668 19146471625 19605986944 22209907085 24507483680 30634354600 35535851336 38292943250 39211973888 44419814170 49014967360 61268709200 71071702672 76585886500 88839628340 98029934720 111049535425 122537418400 142143405344 153171773000 177679256680 196059869440 222099070850 245074836800 284286810688 306343546000 355358513360 444198141700 490149673600 555247677125 568573621376 612687092000 710717026720 888396283400 980299347200 1110495354250 1137147242752 1225374184000 1421434053440 1776792566800 2220990708500 2450748368000 2842868106880 3553585133600 4441981417000 4901496736000 5685736213760 7107170267200 8883962834000 14214340534400 17767925668000 28428681068800 35535851336000 71071702672000 142143405344000