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139800462201 = 321246332
BaseRepresentation
bin1000001000110011000…
…0011100001101111001
3111100211221020022100100
42002030300130031321
54242302404242301
6144120133030013
713046246215311
oct2021460341571
9440757208310
10139800462201
115431a797474
1223116a85309
131024c43a1aa
146aa2d2a441
153983459286
hex208cc1c379

139800462201 has 9 divisors (see below), whose sum is σ = 201935621199. Its totient is φ = 93199560336.

The previous prime is 139800462173. The next prime is 139800462229. The reversal of 139800462201 is 102264008931.

The square root of 139800462201 is 373899.

It is a perfect power (a square), and thus also a powerful number.

139800462201 is a `hidden beast` number, since 1 + 398 + 0 + 0 + 4 + 62 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (139800462173) and next prime (139800462229).

It can be written as a sum of positive squares in only one way, i.e., 136548725625 + 3251736576 = 369525^2 + 57024^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 139800462201 - 25 = 139800462169 is a prime.

It is a super-2 number, since 2×1398004622012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139800462281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1059381 + ... + 1184013.

Almost surely, 2139800462201 is an apocalyptic number.

139800462201 is the 373899-th square number.

139800462201 is the 186950-th centered octagonal number.

It is an amenable number.

139800462201 is a deficient number, since it is larger than the sum of its proper divisors (62135158998).

139800462201 is an frugal number, since it uses more digits than its factorization.

139800462201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249272 (or 124636 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 139800462201 by its sum of digits (36), we get a square (5032816639236 = 22433942).

The spelling of 139800462201 in words is "one hundred thirty-nine billion, eight hundred million, four hundred sixty-two thousand, two hundred one".

Divisors: 1 3 9 124633 373899 1121697 15533384689 46600154067 139800462201