Search a number
-
+
140888373201 = 321251172
BaseRepresentation
bin1000001100110110011…
…0011111011111010001
3111110122202022220200100
42003031212133133101
54302014410420301
6144420114443013
713115226261432
oct2031546373721
9443582286610
10140888373201
11548288a5074
122337b293469
1310393947504
146b675dd489
1539e8c03286
hex20cd99f7d1

140888373201 has 9 divisors (see below), whose sum is σ = 203507054491. Its totient is φ = 93924831432.

The previous prime is 140888373193. The next prime is 140888373209. The reversal of 140888373201 is 102373888041.

The square root of 140888373201 is 375351.

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

140888373201 is a `hidden beast` number, since 1 + 408 + 8 + 8 + 37 + 3 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (140888373193) and next prime (140888373209).

It can be written as a sum of positive squares in only one way, i.e., 103899852225 + 36988520976 = 322335^2 + 192324^2 .

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

It is not a de Polignac number, because 140888373201 - 23 = 140888373193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140888373209) 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, 1063495 + ... + 1188611.

Almost surely, 2140888373201 is an apocalyptic number.

140888373201 is the 375351-st square number.

140888373201 is the 187676-th centered octagonal number.

It is an amenable number.

140888373201 is a deficient number, since it is larger than the sum of its proper divisors (62618681290).

140888373201 is an frugal number, since it uses more digits than its factorization.

140888373201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250240 (or 125120 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

It can be divided in two parts, 140888 and 373201, that added together give a square (514089 = 7172).

The spelling of 140888373201 in words is "one hundred forty billion, eight hundred eighty-eight million, three hundred seventy-three thousand, two hundred one".

Divisors: 1 3 9 125117 375351 1126053 15654263689 46962791067 140888373201