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140141323432 = 231119237119227
BaseRepresentation
bin1000001010000100010…
…0101110010010101000
3111101201200121212001101
42002201010232102220
54244002134322212
6144214030531144
713060555410655
oct2024104562250
9441650555041
10140141323432
115448513a570
12231b1066ab4
13102a4c43826
146ad62d8c2c
1539a333a157
hex20a112e4a8

140141323432 has 96 divisors (see below), whose sum is σ = 310712937120. Its totient is φ = 58716420480.

The previous prime is 140141323423. The next prime is 140141323457. The reversal of 140141323432 is 234323141041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 140141323432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1115803 + ... + 1235029.

It is an arithmetic number, because the mean of its divisors is an integer number (3236593095).

Almost surely, 2140141323432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140141323432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155356468560).

140141323432 is an abundant number, since it is smaller than the sum of its proper divisors (170571613688).

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

140141323432 is a wasteful number, since it uses less digits than its factorization.

140141323432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119319 (or 119296 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140141323432 its reverse (234323141041), we get a palindrome (374464464473).

The spelling of 140141323432 in words is "one hundred forty billion, one hundred forty-one million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 148 152 209 296 361 407 418 703 722 814 836 1406 1444 1628 1672 2812 2888 3256 3971 5624 7733 7942 13357 15466 15884 26714 30932 31768 53428 61864 106856 119227 146927 238454 293854 476908 587708 953816 1175416 1311497 2265313 2622994 4411399 4530626 5245988 8822798 9061252 10491976 17645596 18122504 24918443 35291192 43040947 48525389 49836886 83816581 86081894 97050778 99673772 167633162 172163788 194101556 199347544 335266324 344327576 388203112 473450417 670532648 921982391 946900834 1592515039 1843964782 1893801668 3185030078 3687929564 3787603336 6370060156 7375859128 12740120312 17517665429 35035330858 70070661716 140141323432