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142224303201432 = 23323833104249677
BaseRepresentation
bin100000010101101000101101…
…000100100001110010011000
3200122120111210020010121221020
4200111220231010201302120
5122120200333104421212
61222252535400042440
741646236550403614
oct4025505504416230
9618514706117836
10142224303201432
1141353a96417171
1213b50033463420
13614890433c2aa
14271999b862344
1511698a9371d8c
hex815a2d121c98

142224303201432 has 64 divisors (see below), whose sum is σ = 375490041050880. Its totient is φ = 44800531324032.

The previous prime is 142224303201373. The next prime is 142224303201443. The reversal of 142224303201432 is 234102303422241.

It is a happy number.

142224303201432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1422243032014322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142224303201393 and 142224303201402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552079023 + ... + 1552170654.

It is an arithmetic number, because the mean of its divisors is an integer number (5867031891420).

Almost surely, 2142224303201432 is an apocalyptic number.

142224303201432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142224303201432 is an abundant number, since it is smaller than the sum of its proper divisors (233265737849448).

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

142224303201432 is a wasteful number, since it uses less digits than its factorization.

142224303201432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104249792 (or 3104249788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 142224303201432 its reverse (234102303422241), we get a palindrome (376326606623673).

The spelling of 142224303201432 in words is "one hundred forty-two trillion, two hundred twenty-four billion, three hundred three million, two hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 276 332 498 552 664 996 1909 1992 3818 5727 7636 11454 15272 22908 45816 3104249677 6208499354 9312749031 12416998708 18625498062 24833997416 37250996124 71397742571 74501992248 142795485142 214193227713 257652723191 285590970284 428386455426 515305446382 571181940568 772958169573 856772910852 1030610892764 1545916339146 1713545821704 2061221785528 3091832678292 5926012633393 6183665356584 11852025266786 17778037900179 23704050533572 35556075800358 47408101067144 71112151600716 142224303201432