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142322023144 = 2374797557461
BaseRepresentation
bin1000010010001100001…
…1011011101011101000
3111121100122222212200101
42010203003123223220
54312433414220034
6145214250515144
713165605144040
oct2044303335350
9447318885611
10142322023144
11553a4087534
12236bb435ab4
13105619783a2
146c61b90720
153a7e9e3514
hex21230dbae8

142322023144 has 64 divisors (see below), whose sum is σ = 314676149760. Its totient is φ = 59081840640.

The previous prime is 142322023141. The next prime is 142322023177. The reversal of 142322023144 is 441320223241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (142322023141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23427 + ... + 534034.

It is an arithmetic number, because the mean of its divisors is an integer number (4916814840).

Almost surely, 2142322023144 is an apocalyptic number.

142322023144 is a gapful number since it is divisible by the number (14) 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 142322023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157338074880).

142322023144 is an abundant number, since it is smaller than the sum of its proper divisors (172354126616).

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

142322023144 is a wasteful number, since it uses less digits than its factorization.

142322023144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557618 (or 557614 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 142322023144 its reverse (441320223241), we get a palindrome (583642246385).

The spelling of 142322023144 in words is "one hundred forty-two billion, three hundred twenty-two million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 97 188 194 329 376 388 658 679 776 1316 1358 2632 2716 4559 5432 9118 18236 31913 36472 63826 127652 255304 557461 1114922 2229844 3902227 4459688 7804454 15608908 26200667 31217816 52401334 54073717 104802668 108147434 183404669 209605336 216294868 366809338 378516019 432589736 733618676 757032038 1467237352 1514064076 2541464699 3028128152 5082929398 10165858796 17790252893 20331717592 35580505786 71161011572 142322023144