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1341120040 = 2351323311069
BaseRepresentation
bin100111111101111…
…1101111000101000
310110110112221211121
41033323331320220
510221311320130
6341024505024
745143221651
oct11773757050
93413487747
101341120040
11629033377
1231517b174
13184b04570
14ca186528
157cb13d7a
hex4fefde28

1341120040 has 64 divisors (see below), whose sum is σ = 3263878800. Its totient is φ = 493012992.

The previous prime is 1341120031. The next prime is 1341120101. The reversal of 1341120040 is 400211431.

It can be written as a sum of positive squares in 8 ways, for example, as 20088324 + 1321031716 = 4482^2 + 36346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1341119996 and 1341120023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115626 + ... + 126694.

Almost surely, 21341120040 is an apocalyptic number.

1341120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631939400).

1341120040 is an abundant number, since it is smaller than the sum of its proper divisors (1922758760).

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

1341120040 is a wasteful number, since it uses less digits than its factorization.

1341120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1341120040 is about 36621.3058205193. The cubic root of 1341120040 is about 1102.7808537488.

Adding to 1341120040 its reverse (400211431), we get a palindrome (1741331471).

The spelling of 1341120040 in words is "one billion, three hundred forty-one million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1864 2330 3029 4660 6058 9320 11069 12116 15145 22138 24232 30290 44276 55345 60580 88552 110690 121160 143897 221380 287794 442760 575588 719485 1151176 1438970 2579077 2877940 5158154 5755880 10316308 12895385 20632616 25790770 33528001 51581540 67056002 103163080 134112004 167640005 268224008 335280010 670560020 1341120040