Search a number
-
+
142432010400 = 25352193123509
BaseRepresentation
bin1000010010100110011…
…1000000000010100000
3111121122022221210211110
42010221213000002200
54313200043313100
6145233220143320
713201412053431
oct2045147000240
9447568853743
10142432010400
115545017a599
1223730237b40
131057b6a79c4
146c72621488
153a894bc250
hex21299c00a0

142432010400 has 144 divisors (see below), whose sum is σ = 488017202400. Its totient is φ = 35982812160.

The previous prime is 142432010387. The next prime is 142432010431. The reversal of 142432010400 is 4010234241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516155 + ... + 1607354.

It is an arithmetic number, because the mean of its divisors is an integer number (3389008350).

Almost surely, 2142432010400 is an apocalyptic number.

142432010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142432010400 is an abundant number, since it is smaller than the sum of its proper divisors (345585192000).

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

142432010400 is a wasteful number, since it uses less digits than its factorization.

142432010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123551 (or 3123538 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 142432010400 its reverse (4010234241), we get a palindrome (146442244641).

The spelling of 142432010400 in words is "one hundred forty-two billion, four hundred thirty-two million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 3123509 6247018 9370527 12494036 15617545 18741054 24988072 31235090 37482108 46852635 49976144 59346671 62470180 74964216 78087725 93705270 99952288 118693342 124940360 149928432 156175450 178040013 187410540 234263175 237386684 249880720 296733355 299856864 312350900 356080026 374821080 468526350 474773368 499761440 593466710 624701800 712160052 749642160 890200065 937052700 949546736 1186933420 1249403600 1424320104 1483666775 1499284320 1780400130 1874105400 1899093472 2373866840 2498807200 2848640208 2967333550 3560800260 3748210800 4451000325 4747733680 5697280416 5934667100 7121600520 7496421600 8902000650 9495467360 11869334200 14243201040 17804001300 23738668400 28486402080 35608002600 47477336800 71216005200 142432010400