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142200350212224 = 2731787721248323
BaseRepresentation
bin100000010101010010011001…
…010111001000000010000000
3200122111012221220100200220210
4200111102121113020002000
5122114302304123242344
61222233534500234120
741644431145351053
oct4025223127100200
9618435856320823
10142200350212224
11413449145a2917
1213b4746969b940
1361465879c28b5
142718768582a9a
151168e56569db9
hex8154995c8080

142200350212224 has 128 divisors (see below), whose sum is σ = 399944654758080. Its totient is φ = 44611186360320.

The previous prime is 142200350212223. The next prime is 142200350212231. The reversal of 142200350212224 is 422212053002241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 142200350212191 and 142200350212200.

It is not an unprimeable number, because it can be changed into a prime (142200350212223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572518527 + ... + 572766849.

Almost surely, 2142200350212224 is an apocalyptic number.

It is an amenable number.

142200350212224 is an abundant number, since it is smaller than the sum of its proper divisors (257744304545856).

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

142200350212224 is a wasteful number, since it uses less digits than its factorization.

142200350212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336078 (or 336066 counting only the distinct ones).

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

The spelling of 142200350212224 in words is "one hundred forty-two trillion, two hundred billion, three hundred fifty million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 87721 175442 248323 263163 350884 496646 526326 701768 744969 993292 1052652 1403536 1489938 1491257 1986584 2105304 2807072 2979876 2982514 3973168 4210608 4221491 4473771 5614144 5959752 5965028 7946336 8421216 8442982 8947542 11228288 11919504 11930056 12664473 15892672 16842432 16885964 17895084 23839008 23860112 25328946 31785344 33684864 33771928 35790168 47678016 47720224 50657892 67543856 71580336 95356032 95440448 101315784 135087712 143160672 190880896 202631568 270175424 286321344 405263136 540350848 572642688 810526272 1621052544 21783141883 43566283766 65349425649 87132567532 130698851298 174265135064 261397702596 348530270128 370313412011 522795405192 697060540256 740626824022 1045590810384 1110940236033 1394121080512 1481253648044 2091181620768 2221880472066 2788242161024 2962507296088 4182363241536 4443760944132 5925014592176 8364726483072 8887521888264 11850029184352 17775043776528 23700058368704 35550087553056 47400116737408 71100175106112 142200350212224