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142034234100 = 223521159729503
BaseRepresentation
bin1000010001000111100…
…1100110101011110100
3111120121121110200022220
42010101321212223310
54311341230442400
6145125530322340
713155512032653
oct2042171465364
9446547420286
10142034234100
1155266693350
122363ab893b0
1310517164605
146c3587919a
153a645e77a0
hex2111e66af4

142034234100 has 144 divisors (see below), whose sum is σ = 455910819840. Its totient is φ = 33848892800.

The previous prime is 142034234081. The next prime is 142034234101. The reversal of 142034234100 is 1432430241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142034234101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170052 + ... + 559451.

It is an arithmetic number, because the mean of its divisors is an integer number (3166047360).

Almost surely, 2142034234100 is an apocalyptic number.

142034234100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142034234100 is an abundant number, since it is smaller than the sum of its proper divisors (313876585740).

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

142034234100 is a wasteful number, since it uses less digits than its factorization.

142034234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729590 (or 729583 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 142034234100 its reverse (1432430241), we get a palindrome (143466664341).

The spelling of 142034234100 in words is "one hundred forty-two billion, thirty-four million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 59 60 66 75 100 110 118 132 150 165 177 220 236 275 295 300 330 354 550 590 649 660 708 825 885 1100 1180 1298 1475 1650 1770 1947 2596 2950 3245 3300 3540 3894 4425 5900 6490 7788 8850 9735 12980 16225 17700 19470 32450 38940 48675 64900 97350 194700 729503 1459006 2188509 2918012 3647515 4377018 7295030 8024533 8754036 10942545 14590060 16049066 18237575 21885090 24073599 32098132 36475150 40122665 43040677 43770180 48147198 54712725 72950300 80245330 86081354 96294396 109425450 120367995 129122031 160490660 172162708 200613325 215203385 218850900 240735990 258244062 401226650 430406770 473447447 481471980 516488124 601839975 645610155 802453300 860813540 946894894 1076016925 1203679950 1291220310 1420342341 1893789788 2152033850 2367237235 2407359900 2582440620 2840684682 3228050775 4304067700 4734474470 5681369364 6456101550 7101711705 9468948940 11836186175 12912203100 14203423410 23672372350 28406846820 35508558525 47344744700 71017117050 142034234100