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142224322512 = 24343711994877
BaseRepresentation
bin1000010001110100111…
…0101110111111010000
3111121002212011011121110
42010131032232333100
54312233411310022
6145200440453320
713163310536406
oct2043516567720
9447085134543
10142224322512
1155353a16608
122369277a240
131054765b36c
146c52bdb476
153a7614500c
hex211d3aefd0

142224322512 has 160 divisors (see below), whose sum is σ = 383246899200. Its totient is φ = 45414673920.

The previous prime is 142224322477. The next prime is 142224322529. The reversal of 142224322512 is 215223422241.

It is a self number, because there is not a number n which added to its sum of digits gives 142224322512.

It is a congruent number.

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, 29159818 + ... + 29164694.

It is an arithmetic number, because the mean of its divisors is an integer number (2395293120).

Almost surely, 2142224322512 is an apocalyptic number.

142224322512 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 142224322512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191623449600).

142224322512 is an abundant number, since it is smaller than the sum of its proper divisors (241022576688).

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

142224322512 is a wasteful number, since it uses less digits than its factorization.

142224322512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5195 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 142224322512 its reverse (215223422241), we get a palindrome (357447744753).

The spelling of 142224322512 in words is "one hundred forty-two billion, two hundred twenty-four million, three hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 71 86 129 142 172 199 213 258 284 344 398 426 516 568 597 688 796 852 1032 1136 1194 1592 1704 2064 2388 3053 3184 3408 4776 4877 6106 8557 9159 9552 9754 12212 14129 14631 17114 18318 19508 24424 25671 28258 29262 34228 36636 39016 42387 48848 51342 56516 58524 68456 73272 78032 84774 102684 113032 117048 136912 146544 169548 205368 209711 226064 234096 339096 346267 410736 419422 607547 629133 678192 692534 838844 970523 1038801 1215094 1258266 1385068 1677688 1822641 1941046 2077602 2430188 2516532 2770136 2911569 3355376 3645282 3882092 4155204 4860376 5033064 5540272 5823138 7290564 7764184 8310408 9720752 10066128 11646276 14581128 14889481 15528368 16620816 23292552 29162256 29778962 41732489 44668443 46585104 59557924 68907133 83464978 89336886 119115848 125197467 137814266 166929956 178673772 206721399 238231696 250394934 275628532 333859912 357347544 413442798 500789868 551257064 667719824 714695088 826885596 1001579736 1102514128 1653771192 2003159472 2963006719 3307542384 5926013438 8889020157 11852026876 17778040314 23704053752 35556080628 47408107504 71112161256 142224322512