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142423135152 = 24323229613919
BaseRepresentation
bin1000010010100100010…
…1001001001110110000
3111121121201020220021120
42010221011021032300
54313140310311102
6145232302022240
713201243450164
oct2045105111660
9447551226246
10142423135152
1155446168481
1223729277980
13105798bb08c
146c71390ca4
153a888176bc
hex21291493b0

142423135152 has 160 divisors (see below), whose sum is σ = 386649062400. Its totient is φ = 45089104896.

The previous prime is 142423135147. The next prime is 142423135201. The reversal of 142423135152 is 251531324241.

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, 154975749 + ... + 154976667.

It is an arithmetic number, because the mean of its divisors is an integer number (2416556640).

Almost surely, 2142423135152 is an apocalyptic number.

142423135152 is a gapful number since it is divisible by the number (12) 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 142423135152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193324531200).

142423135152 is an abundant number, since it is smaller than the sum of its proper divisors (244225927248).

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

142423135152 is a wasteful number, since it uses less digits than its factorization.

142423135152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1789 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 142423135152 its reverse (251531324241), we get a palindrome (393954459393).

The spelling of 142423135152 in words is "one hundred forty-two billion, four hundred twenty-three million, one hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 229 276 368 458 552 613 687 916 919 1104 1226 1374 1832 1838 1839 2452 2748 2757 3664 3676 3678 4904 5267 5496 5514 7352 7356 9808 10534 10992 11028 14099 14704 14712 15801 21068 21137 22056 28198 29424 31602 42136 42274 42297 44112 56396 63204 63411 84272 84548 84594 112792 126408 126822 140377 169096 169188 210451 225584 252816 253644 280754 338192 338376 420902 421131 507288 561508 563347 631353 676752 841804 842262 1014576 1123016 1126694 1262706 1683608 1684524 1690041 2246032 2253388 2525412 3228671 3367216 3369048 3380082 4506776 4840373 5050824 6457342 6738096 6760164 9013552 9680746 9686013 10101648 12914684 12956981 13520328 14521119 19361492 19372026 25829368 25913962 27040656 29042238 38722984 38744052 38870943 51658736 51827924 58084476 77445968 77488104 77741886 103655848 116168952 129006463 154976208 155483772 207311696 232337904 258012926 310967544 387019389 516025852 621935088 774038778 1032051704 1548077556 2064103408 2967148649 3096155112 5934297298 6192310224 8901445947 11868594596 17802891894 23737189192 35605783788 47474378384 71211567576 142423135152