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11331434140 = 22513331353373
BaseRepresentation
bin10101000110110011…
…11111011010011100
31002020201002111101221
422203121333122130
5141201321343030
65112223543124
7550542413065
oct124331773234
932221074357
1011331434140
114895332204
122242a5aaa4
1310b77b0120
14796d0756c
15464c0be7a
hex2a367f69c

11331434140 has 96 divisors (see below), whose sum is σ = 25845817536. Its totient is φ = 4148305920.

The previous prime is 11331434137. The next prime is 11331434183. The reversal of 11331434140 is 4143413311.

It is a happy number.

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, 30378994 + ... + 30379366.

It is an arithmetic number, because the mean of its divisors is an integer number (269227266).

Almost surely, 211331434140 is an apocalyptic number.

11331434140 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 11331434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12922908768).

11331434140 is an abundant number, since it is smaller than the sum of its proper divisors (14514383396).

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

11331434140 is a wasteful number, since it uses less digits than its factorization.

11331434140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 11331434140 its reverse (4143413311), we get a palindrome (15474847451).

The spelling of 11331434140 in words is "eleven billion, three hundred thirty-one million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 331 353 373 662 706 746 1324 1412 1492 1655 1765 1865 3310 3530 3730 4303 4589 4849 6620 7060 7460 8606 9178 9698 17212 18356 19396 21515 22945 24245 43030 45890 48490 86060 91780 96980 116843 123463 131669 233686 246926 263338 467372 493852 526676 584215 617315 658345 1168430 1234630 1316690 1518959 1605019 1711697 2336860 2469260 2633380 3037918 3210038 3423394 6075836 6420076 6846788 7594795 8025095 8558485 15189590 16050190 17116970 30379180 32100380 34233940 43582439 87164878 174329756 217912195 435824390 566571707 871648780 1133143414 2266286828 2832858535 5665717070 11331434140