Search a number
-
+
1140301412430 = 235318631420777
BaseRepresentation
bin10000100101111111010…
…000101011100001001110
311001000022120021122100120
4100211333100223201032
5122140314130144210
62231503000405410
7145245506036535
oct20457720534116
94030276248316
101140301412430
113aa665468714
12164bb8776866
13836b743148b
143d295ad531c
151e9ddb75270
hex1097f42b84e

1140301412430 has 64 divisors (see below), whose sum is σ = 2828280250368. Its totient is φ = 293930138880.

The previous prime is 1140301412287. The next prime is 1140301412443. The reversal of 1140301412430 is 342141030411.

It is a super-2 number, since 2×11403014124302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140301412430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92202 + ... + 1512978.

It is an arithmetic number, because the mean of its divisors is an integer number (44191878912).

Almost surely, 21140301412430 is an apocalyptic number.

1140301412430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140301412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414140125184).

1140301412430 is an abundant number, since it is smaller than the sum of its proper divisors (1687978837938).

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

1140301412430 is a wasteful number, since it uses less digits than its factorization.

1140301412430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421681.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1140301412430 its reverse (342141030411), we get a palindrome (1482442442841).

The spelling of 1140301412430 in words is "one trillion, one hundred forty billion, three hundred one million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 863 930 1726 2589 4315 5178 8630 12945 25890 26753 53506 80259 133765 160518 267530 401295 802590 1420777 2841554 4262331 7103885 8524662 14207770 21311655 42623310 44044087 88088174 132132261 220220435 264264522 440440870 660661305 1226130551 1321322610 2452261102 3678391653 6130652755 7356783306 12261305510 18391958265 36783916530 38010047081 76020094162 114030141243 190050235405 228060282486 380100470810 570150706215 1140301412430