Search a number
-
+
11398142940 = 22351958717033
BaseRepresentation
bin10101001110110000…
…11101101111011100
31002102100121122200020
422213120131233130
5141320411033230
65123005432140
7552312421302
oct124730355734
932370548606
1011398142940
114919a55548
12226126b650
1310c85688a2
147a1b10272
1546a9d7810
hex2a761dbdc

11398142940 has 96 divisors (see below), whose sum is σ = 33653733120. Its totient is φ = 2874456576.

The previous prime is 11398142911. The next prime is 11398142981. The reversal of 11398142940 is 4924189311.

It is a junction number, because it is equal to n+sod(n) for n = 11398142892 and 11398142901.

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, 660664 + ... + 677696.

It is an arithmetic number, because the mean of its divisors is an integer number (350559720).

Almost surely, 211398142940 is an apocalyptic number.

11398142940 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 11398142940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826866560).

11398142940 is an abundant number, since it is smaller than the sum of its proper divisors (22255590180).

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

11398142940 is a wasteful number, since it uses less digits than its factorization.

11398142940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17651 (or 17649 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 11398142940 in words is "eleven billion, three hundred ninety-eight million, one hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 587 1140 1174 1761 2348 2935 3522 5870 7044 8805 11153 11740 17033 17610 22306 33459 34066 35220 44612 51099 55765 66918 68132 85165 102198 111530 133836 167295 170330 204396 223060 255495 323627 334590 340660 510990 647254 669180 970881 1021980 1294508 1618135 1941762 3236270 3883524 4854405 6472540 9708810 9998371 19417620 19996742 29995113 39993484 49991855 59990226 99983710 119980452 149975565 189969049 199967420 299951130 379938098 569907147 599902260 759876196 949845245 1139814294 1899690490 2279628588 2849535735 3799380980 5699071470 11398142940