Search a number
-
+
1130314833468 = 2232434791524379
BaseRepresentation
bin10000011100101100000…
…000111001111000111100
311000001112120202212102200
4100130230000321320330
5122004341044132333
62223132013351500
7144443153363142
oct20345400717074
94001476685380
101130314833468
113a6400290077
12163090198590
1382785462a62
143c9c9667592
151e607068c13
hex1072c039e3c

1130314833468 has 72 divisors (see below), whose sum is σ = 2929736409600. Its totient is φ = 367240952736.

The previous prime is 1130314833449. The next prime is 1130314833491. The reversal of 1130314833468 is 8643384130311.

1130314833468 is a `hidden beast` number, since 1 + 1 + 303 + 1 + 4 + 8 + 334 + 6 + 8 = 666.

It is a super-2 number, since 2×11303148334682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20698 + ... + 1503681.

Almost surely, 21130314833468 is an apocalyptic number.

1130314833468 is a gapful number since it is divisible by the number (18) 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 1130314833468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464868204800).

1130314833468 is an abundant number, since it is smaller than the sum of its proper divisors (1799421576132).

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

1130314833468 is a wasteful number, since it uses less digits than its factorization.

1130314833468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524911 (or 1524906 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 1130314833468 its reverse (8643384130311), we get a palindrome (9773698963779).

The spelling of 1130314833468 in words is "one trillion, one hundred thirty billion, three hundred fourteen million, eight hundred thirty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 479 516 774 958 1437 1548 1916 2874 4311 5748 8622 17244 20597 41194 61791 82388 123582 185373 247164 370746 741492 1524379 3048758 4573137 6097516 9146274 13719411 18292548 27438822 54877644 65548297 131096594 196644891 262193188 393289782 589934673 730177541 786579564 1179869346 1460355082 2190532623 2359738692 2920710164 4381065246 6571597869 8762130492 13143195738 26286391476 31397634263 62795268526 94192902789 125590537052 188385805578 282578708367 376771611156 565157416734 1130314833468