Search a number
-
+
1395440240032 = 25239719546171
BaseRepresentation
bin10100010011100110101…
…110000100010110100000
311221101212121222222201001
4110103212232010112200
5140330330200140112
62545020103121344
7202550211222136
oct24234656042640
94841777888631
101395440240032
11498891700123
121a6542143254
13a1788038757
144b77abc5756
1526472bb9c57
hex144e6b845a0

1395440240032 has 48 divisors (see below), whose sum is σ = 2896273582272. Its totient is φ = 660504176640.

The previous prime is 1395440239987. The next prime is 1395440240057. The reversal of 1395440240032 is 2300420445931.

It is a super-2 number, since 2×13954402400322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1395440239973 and 1395440240000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9701694 + ... + 9844477.

It is an arithmetic number, because the mean of its divisors is an integer number (60339032964).

Almost surely, 21395440240032 is an apocalyptic number.

It is an amenable number.

1395440240032 is an abundant number, since it is smaller than the sum of its proper divisors (1500833342240).

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

1395440240032 is a wasteful number, since it uses less digits than its factorization.

1395440240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19546301 (or 19546293 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 1395440240032 its reverse (2300420445931), we get a palindrome (3695860685963).

The spelling of 1395440240032 in words is "one trillion, three hundred ninety-five billion, four hundred forty million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 368 388 736 776 1552 2231 3104 4462 8924 17848 35696 71392 19546171 39092342 78184684 156369368 312738736 449561933 625477472 899123866 1798247732 1895978587 3596495464 3791957174 7192990928 7583914348 14385981856 15167828696 30335657392 43607507501 60671314784 87215015002 174430030004 348860060008 697720120016 1395440240032