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142034313200 = 245213171606723
BaseRepresentation
bin1000010001000111100…
…1111001111111110000
3111120121121121200211112
42010101321321333300
54311341241010300
6145125532132452
713155512512403
oct2042171717760
9446547550745
10142034313200
115526673781a
122363b007128
1310517191610
146c35899d3a
153a64610e35
hex2111e79ff0

142034313200 has 120 divisors (see below), whose sum is σ = 389103564528. Its totient is φ = 49358499840.

The previous prime is 142034313199. The next prime is 142034313203. The reversal of 142034313200 is 2313430241.

It is a super-2 number, since 2×1420343132002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142034313203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714962 + ... + 891761.

Almost surely, 2142034313200 is an apocalyptic number.

142034313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142034313200 is an abundant number, since it is smaller than the sum of its proper divisors (247069251328).

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

142034313200 is a wasteful number, since it uses less digits than its factorization.

142034313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606771 (or 1606760 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 142034313200 its reverse (2313430241), we get a palindrome (144347743441).

The spelling of 142034313200 in words is "one hundred forty-two billion, thirty-four million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 130 136 170 200 208 221 260 272 325 340 400 425 442 520 650 680 850 884 1040 1105 1300 1360 1700 1768 2210 2600 3400 3536 4420 5200 5525 6800 8840 11050 17680 22100 44200 88400 1606723 3213446 6426892 8033615 12853784 16067230 20887399 25707568 27314291 32134460 40168075 41774798 54628582 64268920 80336150 83549596 104436995 109257164 128537840 136571455 160672300 167099192 208873990 218514328 273142910 321344600 334198384 355085783 417747980 437028656 522184975 546285820 642689200 682857275 710171566 835495960 1044369950 1092571640 1365714550 1420343132 1670991920 1775428915 2088739900 2185143280 2731429100 2840686264 3550857830 4177479800 5462858200 5681372528 7101715660 8354959600 8877144575 10925716400 14203431320 17754289150 28406862640 35508578300 71017156600 142034313200