Search a number
-
+
140432013441 = 3417137744409
BaseRepresentation
bin1000001011001001100…
…1100111100010000001
3111102110221121102210000
42002302121213202001
54300101043412231
6144302533230213
713101015263466
oct2026231474201
9442427542700
10140432013441
1154614235245
1223272492369
1310320231b55
146b22b6766d
1539bdb0a6e6
hex20b2667881

140432013441 has 40 divisors (see below), whose sum is σ = 223742847240. Its totient is φ = 87470917632.

The previous prime is 140432013391. The next prime is 140432013479. The reversal of 140432013441 is 144310234041.

140432013441 is a `hidden beast` number, since 14 + 0 + 4 + 3 + 201 + 3 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64785011841 + 75647001600 = 254529^2 + 275040^2 .

It is not a de Polignac number, because 140432013441 - 223 = 140423624833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140432013341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 183556 + ... + 560853.

It is an arithmetic number, because the mean of its divisors is an integer number (5593571181).

Almost surely, 2140432013441 is an apocalyptic number.

It is an amenable number.

140432013441 is a deficient number, since it is larger than the sum of its proper divisors (83310833799).

140432013441 is a wasteful number, since it uses less digits than its factorization.

140432013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744575 (or 744566 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140432013441 its reverse (144310234041), we get a palindrome (284742247482).

The spelling of 140432013441 in words is "one hundred forty billion, four hundred thirty-two million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 17 27 51 81 137 153 411 459 1233 1377 2329 3699 6987 11097 20961 62883 188649 744409 2233227 6699681 12654953 20099043 37964859 60297129 101984033 113894577 305952099 341683731 917856297 1025051193 1733728561 2753568891 5201185683 8260706673 15603557049 46810671147 140432013441