Search a number
-
+
140038217281 = 1724160156873
BaseRepresentation
bin1000001001101011101…
…1011001111001000001
3111101110111121112000001
42002122323121321001
54243244240423111
6144155505000001
713055164130644
oct2023273317101
9441414545001
10140038217281
1154431a17376
1223182623001
1310289783281
146ac6739a5b
1539992701c1
hex209aed9e41

140038217281 has 16 divisors (see below), whose sum is σ = 149141372688. Its totient is φ = 131033088000.

The previous prime is 140038217279. The next prime is 140038217309. The reversal of 140038217281 is 182712830041.

It can be written as a sum of positive squares in 8 ways, for example, as 5011365681 + 135026851600 = 70791^2 + 367460^2 .

It is a cyclic number.

It is not a de Polignac number, because 140038217281 - 21 = 140038217279 is a prime.

It is a super-2 number, since 2×1400382172812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 140038217281.

It is not an unprimeable number, because it can be changed into a prime (140038217881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433861 + ... + 2490733.

It is an arithmetic number, because the mean of its divisors is an integer number (9321335793).

Almost surely, 2140038217281 is an apocalyptic number.

It is an amenable number.

140038217281 is a deficient number, since it is larger than the sum of its proper divisors (9103155407).

140038217281 is a wasteful number, since it uses less digits than its factorization.

140038217281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57732.

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 140038217281 in words is "one hundred forty billion, thirty-eight million, two hundred seventeen thousand, two hundred eighty-one".

Divisors: 1 17 241 601 4097 10217 56873 144841 966841 2462297 13706393 34180673 233008681 581071441 8237542193 140038217281