Search a number
-
+
1140334132240 = 245234431398977
BaseRepresentation
bin10000100110000001001…
…101011111110000010000
311001000101211211222111101
4100212001031133300100
5122140401014212430
62231510125554144
7145246354123552
oct20460115376020
94030354758441
101140334132240
113aa681986586
12165007715954
13836c1149404
143d29a1b14d2
151e9e1989dca
hex1098135fc10

1140334132240 has 80 divisors (see below), whose sum is σ = 2772796779648. Its totient is φ = 435316563968.

The previous prime is 1140334132229. The next prime is 1140334132243. The reversal of 1140334132240 is 422314330411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1140334132199 and 1140334132208.

It is not an unprimeable number, because it can be changed into a prime (1140334132243) 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, 115632 + ... + 1514608.

Almost surely, 21140334132240 is an apocalyptic number.

1140334132240 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 1140334132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386398389824).

1140334132240 is an abundant number, since it is smaller than the sum of its proper divisors (1632462647408).

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

1140334132240 is a wasteful number, since it uses less digits than its factorization.

1140334132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399456 (or 1399450 counting only the distinct ones).

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

Adding to 1140334132240 its reverse (422314330411), we get a palindrome (1562648462651).

The spelling of 1140334132240 in words is "one trillion, one hundred forty billion, three hundred thirty-four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 443 460 886 920 1772 1840 2215 3544 4430 7088 8860 10189 17720 20378 35440 40756 50945 81512 101890 163024 203780 407560 815120 1398977 2797954 5595908 6994885 11191816 13989770 22383632 27979540 32176471 55959080 64352942 111918160 128705884 160882355 257411768 321764710 514823536 619746811 643529420 1239493622 1287058840 2478987244 2574117680 3098734055 4957974488 6197468110 9915948976 12394936220 14254176653 24789872440 28508353306 49579744880 57016706612 71270883265 114033413224 142541766530 228066826448 285083533060 570167066120 1140334132240