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11420242440 = 2335232179903
BaseRepresentation
bin10101010001011001…
…10001001000001000
31002110220012102111020
422220230301020020
5141342040224230
65125115232440
7553001313315
oct125054611010
932426172436
1011420242440
11493047a1a2
122268748720
131100005809
147a4a23d0c
1546c900810
hex2a8b31208

11420242440 has 96 divisors (see below), whose sum is σ = 35815288320. Its totient is φ = 2912973184.

The previous prime is 11420242411. The next prime is 11420242441. The reversal of 11420242440 is 4424202411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11420242440.

It is not an unprimeable number, because it can be changed into a prime (11420242441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26472 + ... + 153431.

It is an arithmetic number, because the mean of its divisors is an integer number (373075920).

Almost surely, 211420242440 is an apocalyptic number.

11420242440 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 11420242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907644160).

11420242440 is an abundant number, since it is smaller than the sum of its proper divisors (24395045880).

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

11420242440 is a wasteful number, since it uses less digits than its factorization.

11420242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179963 (or 179936 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 11420242440 its reverse (4424202411), we get a palindrome (15844444851).

The spelling of 11420242440 in words is "eleven billion, four hundred twenty million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7935 10580 12696 15870 21160 31740 63480 179903 359806 539709 719612 899515 1079418 1439224 1799030 2158836 2698545 3598060 4137769 4317672 5397090 7196120 8275538 10794180 12413307 16551076 20688845 21588360 24826614 33102152 41377690 49653228 62066535 82755380 95168687 99306456 124133070 165510760 190337374 248266140 285506061 380674748 475843435 496532280 571012122 761349496 951686870 1142024244 1427530305 1903373740 2284048488 2855060610 3806747480 5710121220 11420242440