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141200202442212 = 223216409323902469
BaseRepresentation
bin100000000110101110111011…
…111010001010010111100100
3200111221121101212212210002100
4200012232323322022113210
5122001411003311122322
61220150251050412100
741512243434520464
oct4006567372122744
9614847355783070
10141200202442212
1140a99740219151
1213a05666131030
1360a3177c291a4
1426c21aa671ba4
15114ce1bd64dac
hex806bbbe8a5e4

141200202442212 has 36 divisors (see below), whose sum is σ = 356924924008380. Its totient is φ = 47066445348672.

The previous prime is 141200202442181. The next prime is 141200202442279. The reversal of 141200202442212 is 212244202002141.

141200202442212 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 0 + 2 + 0 + 2 + 442 + 212 = 666.

141200202442212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60280534514916 + 80919667927296 = 7764054^2 + 8995536^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6043887 + ... + 17858582.

It is an arithmetic number, because the mean of its divisors is an integer number (9914581222455).

Almost surely, 2141200202442212 is an apocalyptic number.

141200202442212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141200202442212 is an abundant number, since it is smaller than the sum of its proper divisors (215724721566168).

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

141200202442212 is a wasteful number, since it uses less digits than its factorization.

141200202442212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24066572 (or 24066567 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 141200202442212 its reverse (212244202002141), we get a palindrome (353444404444353).

The spelling of 141200202442212 in words is "one hundred forty-one trillion, two hundred billion, two hundred two million, four hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 164093 328186 492279 656372 984558 1476837 1969116 2953674 5907348 23902469 47804938 71707407 95609876 143414814 215122221 286829628 430244442 860488884 3922227845617 7844455691234 11766683536851 15688911382468 23533367073702 35300050610553 47066734147404 70600101221106 141200202442212