Search a number
-
+
1040435048744 = 237138273172751
BaseRepresentation
bin11110010001111101100…
…00101111000100101000
310200110112201002201122222
433020332300233010220
5114021302333024434
62113545205533212
7135111643665350
oct17107660570450
93613481081588
101040435048744
11371278508553
12149787714208
13771605116a0
14385006ddb60
151c0e653672e
hexf23ec2f128

1040435048744 has 64 divisors (see below), whose sum is σ = 2401308080640. Its totient is φ = 411548544000.

The previous prime is 1040435048707. The next prime is 1040435048749. The reversal of 1040435048744 is 4478405340401.

1040435048744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1040435048695 and 1040435048704.

It is not an unprimeable number, because it can be changed into a prime (1040435048749) 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, 5936369 + ... + 6109119.

It is an arithmetic number, because the mean of its divisors is an integer number (37520438760).

Almost surely, 21040435048744 is an apocalyptic number.

1040435048744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1040435048744 is an abundant number, since it is smaller than the sum of its proper divisors (1360873031896).

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

1040435048744 is a wasteful number, since it uses less digits than its factorization.

1040435048744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181050 (or 181046 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 44.

The spelling of 1040435048744 in words is "one trillion, forty billion, four hundred thirty-five million, forty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 8273 16546 33092 57911 66184 107549 115822 172751 215098 231644 345502 430196 463288 691004 752843 860392 1209257 1382008 1505686 2245763 2418514 3011372 4491526 4837028 6022744 8983052 9674056 15720341 17966104 31440682 62881364 125762728 1429169023 2858338046 5716676092 10004183161 11433352184 18579197299 20008366322 37158394598 40016732644 74316789196 80033465288 130054381093 148633578392 260108762186 520217524372 1040435048744