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142224202422240 = 25352312882627031
BaseRepresentation
bin100000010101101000100111…
…000100000101011111100000
3200122120111112012111111212120
4200111220213010011133200
5122120200131310002430
61222252521400024240
741646234214655001
oct4025504704053740
9618514465444776
10142224202422240
1141353a44543284
1213b50005762080
1361488b94b4c33
14271998c30b1a8
1511698a05b6610
hex815a271057e0

142224202422240 has 96 divisors (see below), whose sum is σ = 467484769737216. Its totient is φ = 36277477716480.

The previous prime is 142224202422191. The next prime is 142224202422271. The reversal of 142224202422240 is 42224202422241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6441302476 + ... + 6441324555.

It is an arithmetic number, because the mean of its divisors is an integer number (4869633018096).

Almost surely, 2142224202422240 is an apocalyptic number.

142224202422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142224202422240 is an abundant number, since it is smaller than the sum of its proper divisors (325260567314976).

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

142224202422240 is a wasteful number, since it uses less digits than its factorization.

142224202422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882627072 (or 12882627064 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 142224202422240 its reverse (42224202422241), we get a palindrome (184448404844481).

Subtracting from 142224202422240 its reverse (42224202422241), we obtain a palindrome (99999999999999).

The spelling of 142224202422240 in words is "one hundred forty-two trillion, two hundred twenty-four billion, two hundred two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 12882627031 25765254062 38647881093 51530508124 64413135155 77295762186 103061016248 128826270310 154591524372 193239405465 206122032496 257652540620 296300421713 309183048744 386478810930 412244064992 515305081240 592600843426 618366097488 772957621860 888901265139 1030610162480 1185201686852 1236732194976 1481502108565 1545915243720 1777802530278 2061220324960 2370403373704 2963004217130 3091830487440 3555605060556 4444506325695 4740806747408 5926008434260 6183660974880 7111210121112 8889012651390 9481613494816 11852016868520 14222420242224 17778025302780 23704033737040 28444840484448 35556050605560 47408067474080 71112101211120 142224202422240