Search a number
-
+
1134230213440 = 26517769271129
BaseRepresentation
bin10000100000010101011…
…000111001001101000000
311000102122110020210000201
4100200111120321031000
5122040400413312230
62225020321454544
7144642165512122
oct20402530711500
94012573223021
101134230213440
113a802a427a95
121639a34a1454
1382c5a69723c
143cc7b671212
151e785b765ca
hex10815639340

1134230213440 has 112 divisors (see below), whose sum is σ = 2863490691600. Its totient is φ = 426447470592.

The previous prime is 1134230213407. The next prime is 1134230213447. The reversal of 1134230213440 is 443120324311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 142835620096 + 991394593344 = 377936^2 + 995688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134230213399 and 1134230213408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134230213447) 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, 4047796 + ... + 4318924.

It is an arithmetic number, because the mean of its divisors is an integer number (25566881175).

Almost surely, 21134230213440 is an apocalyptic number.

1134230213440 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 1134230213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431745345800).

1134230213440 is an abundant number, since it is smaller than the sum of its proper divisors (1729260478160).

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

1134230213440 is a wasteful number, since it uses less digits than its factorization.

1134230213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271932 (or 271922 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1134230213440 its reverse (443120324311), we get a palindrome (1577350537751).

The spelling of 1134230213440 in words is "one trillion, one hundred thirty-four billion, two hundred thirty million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 769 1088 1360 1538 2720 3076 3845 5440 6152 7690 12304 13073 15380 24608 26146 30760 49216 52292 61520 65365 104584 123040 130730 209168 246080 261460 271129 418336 522920 542258 836672 1045840 1084516 1355645 2091680 2169032 2711290 4183360 4338064 4609193 5422580 8676128 9218386 10845160 17352256 18436772 21690320 23045965 36873544 43380640 46091930 73747088 86761280 92183860 147494176 184367720 208498201 294988352 368735440 416996402 737470880 833992804 1042491005 1474941760 1667985608 2084982010 3335971216 3544469417 4169964020 6671942432 7088938834 8339928040 13343884864 14177877668 16679856080 17722347085 28355755336 33359712160 35444694170 56711510672 66719424320 70889388340 113423021344 141778776680 226846042688 283557553360 567115106720 1134230213440